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

No annotations are provided, so the description carries the full burden of behavioral disclosure. 'Check' weakly implies a read-only verification operation, but the description does not state what happens on success or failure, whether it returns pass/fail, whether it has side effects, or whether it requires specific state setup. The safety profile is left entirely to inference.

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

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

A three-word sentence has no waste, but this is under-specification rather than conciseness. There is no structure, no parameter discussion, and no behavioral context — the brevity actively harms usability rather than serving it.

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

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

With no annotations, no output schema, two completely undocumented parameters, and a vague one-liner, an agent lacks nearly everything needed to call this tool correctly: what inputs mean, what the check verifies, and what the result looks like. The definition is inadequate for a two-parameter verification tool.

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

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

Schema description coverage is 0%, so the description must compensate, and it does not. Neither 'state_channels' nor 'policy_channels' is explained, and the description mentions nothing about what goes into these arrays, how they relate to each other, or how they map to the 'state intervals' being checked. The word 'state' is the only implicit tie to any parameter.

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

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

The description states a verb ('check') and a resource ('state intervals'), so it is not a tautology. However, 'state intervals' does not explain what a '1cnf invariant' is, how intervals relate to invariants, or what the verification entails. With siblings like verify_liquidity_invariant, verify_risk_policy, and verify_embedding_policy, an agent cannot tell this tool apart since all four sound like checking some invariant.

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

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

There is zero guidance about when to use this tool versus any of the four sibling verify tools. No conditions, no exclusions, no context about what scenario calls for checking 1cnf invariants over state intervals. The description is functionally equivalent to a one-line label.

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