Affine Earth Math Court Remote

verify_simon

QC-008 Simon collision: certify a presented collision for a hidden mask. x and y are equal-length bit strings with x != y and x XOR y == mask, and f(x) == f(y) (fx and fy are the presented function values). WIN when all three hold, MISS naming the failing relation. The mask is presented, never recovered. Floats refused.

Input Schema

TableJSON Schema

Name	Required	Description
`x`	Yes	first input bit string, same length as mask. e.g. 00
`y`	Yes	second input bit string; x XOR y must equal mask. e.g. 11
`fx`	Yes	presented f(x), decimal or bit string. e.g. 0
`fy`	Yes	presented f(y); must equal fx. e.g. 0
`mask`	Yes	hidden mask as a bit string, e.g. 11

Schema Changelog

Changes observed during successful MCP inspections.

Changed5 schema fields changedSep 29, 2026

changedInput schema / properties / fx / description

Previous value: -"presented f(x), decimal or bit string"New value: +"presented f(x), decimal or bit string. e.g. 0"

changedInput schema / properties / fy / description

Previous value: -"presented f(y); must equal fx"New value: +"presented f(y); must equal fx. e.g. 0"

changedInput schema / properties / x / description

Previous value: -"first input bit string, same length as mask"New value: +"first input bit string, same length as mask. e.g. 00"

changedInput schema / properties / y / description

Previous value: -"second input bit string; x XOR y must equal mask"New value: +"second input bit string; x XOR y must equal mask. e.g. 11"

changedInput schema / required

Previous value: -[]New value: +[
+  "fx",
+  "fy",
+  "mask",
+  "x",
+  "y"
+]

Changed5 schema fields changedSep 7, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 7, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 7, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 7, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 6, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 5, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 4, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 3, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 2, 2026

removedInput schema / properties / fx / description

Removed value: -"presented f(x), decimal or bit string"

removedInput schema / properties / fy / description
```
Removed value: -"presented f(y); must equal fx"
```

removedInput schema / properties / mask / description

Removed value: -"hidden mask as a bit string, e.g. 11"

removedInput schema / properties / x / description

Removed value: -"first input bit string, same length as mask"

removedInput schema / properties / y / description

Removed value: -"second input bit string; x XOR y must equal mask"

Changed5 schema fields changedSep 2, 2026

addedInput schema / properties / fx / description

Added value: +"presented f(x), decimal or bit string"

addedInput schema / properties / fy / description
```
Added value: +"presented f(y); must equal fx"
```

addedInput schema / properties / mask / description

Added value: +"hidden mask as a bit string, e.g. 11"

addedInput schema / properties / x / description

Added value: +"first input bit string, same length as mask"

addedInput schema / properties / y / description

Added value: +"second input bit string; x XOR y must equal mask"

First observedSep 1, 2026

TDQS

A3.8/5.0

Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description bears full disclosure burden, and it does well: it states the exact success/failure reporting (WIN vs MISS naming the failing relation), that the mask is presented and never recovered, and that float inputs are refused. It omits any return payload format or error/auth details, but the described behavior is unusually concrete for a no-annotation tool.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

Front-loaded with the core purpose, then the three verification relations, then edge constraints. Dense and jargon-heavy but each clause earns its place; no filler.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With no output schema and no annotations, the description appropriately covers the accepted inputs, the verification relations, and the outcome semantics (WIN/MISS). Only minor gaps remain (no explicit return payload shape, no permission/prerequisite context), which is reasonable for a self-contained cryptographic verification tool.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters4/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 100% (baseline 3), but the description adds non-redundant semantic constraints tying parameters together: x != y, x XOR y == mask, f(x) == f(y), and equal-length bit strings. These cross-parameter relations are not in the schema and materially guide correct invocation.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

States a specific verb and resource: certify a presented collision for Simon's algorithm (hidden mask). The described relations (x != y, x XOR y == mask, f(x) == f(y)) make the operation concrete. It doesn't explicitly name which sibling (e.g., verify_presented_pair, verify_shor_witness) it differs from, but the algorithm-specific naming still separates it from the crowd of verify_* tools.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines3/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

Gives the win condition (WIN when all three relations hold, MISS naming the failing relation) and a constraint (floats refused, mask is presented not recovered). These imply when the tool applies, but there is no explicit when-to-use/when-not-to-use guidance relative to the many verify_* siblings.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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