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veritas_math_gate

Verify measured values satisfy declared constraints by translating boundary constraints into interval arithmetic or SMT formulas. Returns a verdict (PASS, VIOLATION, or INCONCLUSIVE) with a reason code.

Instructions

Gate 5/10: Translates boundary constraints into interval arithmetic or SMT formulas and checks satisfiability with evidence values. Use this after evidence gate to verify that measured values satisfy all declared constraints. Returns JSON with verdict (PASS | VIOLATION | INCONCLUSIVE) and reason_code: MATH_OK, UNSAT_CONSTRAINT, or DECIDABILITY_TIMEOUT.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
claimYesA VERITAS BuildClaim object for deterministic gate evaluation. All fields are optional for partial evaluation — only fields relevant to the invoked gate are required.

Schema Changelog

Changes observed during successful MCP inspections.

  1. Added
  2. Removedv2.1.1
  3. Changed16 schema fields changedv1.0.2
    • changedInput schema / properties / claim / description
      Previous value: -"A VERITAS BuildClaim object containing all declared primitives, operators, regimes, boundaries, loss models, evidence items, cost vectors, and policy configuration needed for deterministic gate evaluation. All fields are optional for partial evaluation — only the fields relevant to the gate being invoked are required."New value: +"A VERITAS BuildClaim object for deterministic gate evaluation. All fields are optional for partial evaluation — only fields relevant to the invoked gate are required."
    • changedInput schema / properties / claim / properties / attack_suite / description
      Previous value: -"AttackSuite with suite_id and list of Attack transforms (InflateBound, RemoveEvidence, PerturbParam, PerturbEvidence) for adversary gate."New value: +"Attack transforms for adversary testing: InflateBound, RemoveEvidence, PerturbParam, PerturbEvidence."
    • changedInput schema / properties / claim / properties / boundaries / description
      Previous value: -"Named boundary constraints (e.g. 'CAPEX_USD <= 100000') that the claim must satisfy."New value: +"Boundary constraints, e.g. {name: 'cap', constraint: 'CAPEX_USD <= 100000'}."
    • changedInput schema / properties / claim / properties / commit / description
      Previous value: -"Git commit SHA for reproducibility and audit trail."New value: +"Git commit SHA for reproducibility."
    • changedInput schema / properties / claim / properties / cost / description
      Previous value: -"CostVector with optional fields: compute_flops, memory_bytes, wall_clock_s, capital_usd, coordination_agents."New value: +"CostVector: compute_flops, memory_bytes, wall_clock_s, capital_usd, coordination_agents."
    • changedInput schema / properties / claim / properties / cost_bounds / description
      Previous value: -"Upper bounds for each cost component. Utilization = max(cost_i / bound_i). Values must be > 0."New value: +"Upper bounds for each cost component. All values must be > 0."
    • changedInput schema / properties / claim / properties / dependencies / description
      Previous value: -"SBOM-style dependency manifest for supply-chain analysis: package names, versions, registries, and integrity hashes."New value: +"SBOM-style dependency manifest: package names, versions, registries, hashes."
    • changedInput schema / properties / claim / properties / evidence / description
      Previous value: -"Evidence items, each with id, variable, value (Numeric or Categorical), timestamp, method, provenance, and optional dependencies."New value: +"Evidence items with id, variable, value, timestamp, method, provenance."
    • changedInput schema / properties / claim / properties / loss_models / description
      Previous value: -"Named loss functions as ArithmeticExpr over primitives, with optional upper bounds."New value: +"Loss functions as ArithmeticExpr with optional upper bounds."
    • changedInput schema / properties / claim / properties / operators / description
      Previous value: -"Declared operators with name, arity, input primitive names, output primitive name, and totality flag."New value: +"Operators with name, arity, input/output primitive names, totality flag."
    • changedInput schema / properties / claim / properties / policy / description
      Previous value: -"PolicyConfig overrides: hash_alg, solver_backend, timeouts, thresholds. Defaults to VERITAS Omega v1.3.1 canonical values if omitted."New value: +"PolicyConfig overrides for hash_alg, solver_backend, timeouts, thresholds."
    • changedInput schema / properties / claim / properties / primitives / description
      Previous value: -"Declared typed variables with name, domain (Interval/EnumSet/FiniteSet), optional units, and description."New value: +"Typed variables with name, domain (Interval/EnumSet/FiniteSet), optional units."
    • changedInput schema / properties / claim / properties / project / description
      Previous value: -"Unique project identifier, e.g. 'omega-brain-mcp'."New value: +"Project identifier, e.g. 'omega-brain-mcp'."
    • changedInput schema / properties / claim / properties / regimes / description
      Previous value: -"Named operating regimes, each with a predicate ConstraintExpr over declared primitives."New value: +"Operating regimes with name and predicate ConstraintExpr."
    • changedInput schema / properties / claim / properties / security / description
      Previous value: -"Security posture declaration: SAST results, secret scan findings, injection surfaces, auth boundaries, and TLS/crypto configuration."New value: +"Security posture: SAST results, secret scan, injection surfaces, auth, TLS config."
    • changedInput schema / properties / claim / properties / version / description
      Previous value: -"Semantic version string of the build being evaluated, e.g. '2.1.0'."New value: +"Semantic version, e.g. '2.1.0'."
  4. Changed16 schema fields changedv1.0.1
    • changedInput schema / properties / claim / description
      Previous value: -"Full or partial VERITAS BuildClaim object"New value: +"A VERITAS BuildClaim object containing all declared primitives, operators, regimes, boundaries, loss models, evidence items, cost vectors, and policy configuration needed for deterministic gate evaluation. All fields are optional for partial evaluation — only the fields relevant to the gate being invoked are required."
    • addedInput schema / properties / claim / properties / attack_suite / description
      Added value: +"AttackSuite with suite_id and list of Attack transforms (InflateBound, RemoveEvidence, PerturbParam, PerturbEvidence) for adversary gate."
    • addedInput schema / properties / claim / properties / boundaries / description
      Added value: +"Named boundary constraints (e.g. 'CAPEX_USD <= 100000') that the claim must satisfy."
    • addedInput schema / properties / claim / properties / commit / description
      Added value: +"Git commit SHA for reproducibility and audit trail."
    • addedInput schema / properties / claim / properties / cost / description
      Added value: +"CostVector with optional fields: compute_flops, memory_bytes, wall_clock_s, capital_usd, coordination_agents."
    • addedInput schema / properties / claim / properties / cost_bounds / description
      Added value: +"Upper bounds for each cost component. Utilization = max(cost_i / bound_i). Values must be > 0."
    • addedInput schema / properties / claim / properties / dependencies / description
      Added value: +"SBOM-style dependency manifest for supply-chain analysis: package names, versions, registries, and integrity hashes."
    • addedInput schema / properties / claim / properties / evidence / description
      Added value: +"Evidence items, each with id, variable, value (Numeric or Categorical), timestamp, method, provenance, and optional dependencies."
    • addedInput schema / properties / claim / properties / loss_models / description
      Added value: +"Named loss functions as ArithmeticExpr over primitives, with optional upper bounds."
    • addedInput schema / properties / claim / properties / operators / description
      Added value: +"Declared operators with name, arity, input primitive names, output primitive name, and totality flag."
    • addedInput schema / properties / claim / properties / policy / description
      Added value: +"PolicyConfig overrides: hash_alg, solver_backend, timeouts, thresholds. Defaults to VERITAS Omega v1.3.1 canonical values if omitted."
    • addedInput schema / properties / claim / properties / primitives / description
      Added value: +"Declared typed variables with name, domain (Interval/EnumSet/FiniteSet), optional units, and description."
    • addedInput schema / properties / claim / properties / project / description
      Added value: +"Unique project identifier, e.g. 'omega-brain-mcp'."
    • addedInput schema / properties / claim / properties / regimes / description
      Added value: +"Named operating regimes, each with a predicate ConstraintExpr over declared primitives."
    • addedInput schema / properties / claim / properties / security / description
      Added value: +"Security posture declaration: SAST results, secret scan findings, injection surfaces, auth boundaries, and TLS/crypto configuration."
    • addedInput schema / properties / claim / properties / version / description
      Added value: +"Semantic version string of the build being evaluated, e.g. '2.1.0'."
  5. First observedv1.0.0

TDQS

A3.9/5.0
Behavior3/5

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

With no annotations, the description bears full burden. It describes the translation and satisfiability check and discloses return values and reason codes, but does not cover side effects, limitations (beyond timeout), or input validation behavior.

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

Conciseness5/5

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

Three sentences, front-loaded with the core function, no unnecessary words. Every sentence adds value.

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

Completeness3/5

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

The tool has one complex parameter and no output schema. The description explains purpose and output shape but does not clarify what happens if required fields are missing or provide examples. Given complexity, it is adequate but not complete.

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

Parameters3/5

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

Schema coverage is 100% (all properties have descriptions). The description adds no parameter-specific information beyond what the schema provides. Baseline 3 is appropriate.

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

Purpose5/5

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

The description clearly states the tool translates boundary constraints into interval arithmetic or SMT formulas and checks satisfiability with evidence values. It specifies it is 'Gate 5/10' and distinguishes from siblings by indicating use after the evidence gate.

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

Usage Guidelines4/5

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

The description explicitly says 'Use this after evidence gate', providing clear context for when to invoke. It does not explicitly state when not to use, but the sequential hint is helpful.

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