frontiermath_representation_theory

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

There are no annotations, so the description carries the full burden of behavioral disclosure. It only says 'perform computations' and does not mention what the tool returns, whether it has side effects, error behavior, or any other runtime characteristics. This is a significant gap for a computational tool.

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?

The description is a single, front-loaded sentence with no unnecessary words. It efficiently conveys the purpose, though 'etc.' is a minor filler and could have been replaced with more specificity.

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 output schema and no annotations, the description is minimal and does not explain the return value, capabilities, or limitations. The tool name and schema provide structure, but the description lacks enough context for an agent to fully understand what 'representation theory computations' entails in practice.

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 coverage is 100% (all three parameters have descriptions, including an enum for groupType), so the baseline is 3. The description does not add any extra meaning beyond the schema, but the schema already provides adequate parameter semantics.

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 clearly states the tool performs representation theory computations and gives examples (Coxeter groups, Braid groups), which distinguishes it from sibling math tools like algebraic geometry or number theory. It is a specific verb+resource but uses 'etc.' which adds slight vagueness, so it doesn't earn a 5.

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?

The description implies usage for representation theory tasks by naming the topic, but does not explicitly state when to use this tool over alternatives or exclude other cases. No alternatives or exclusions are mentioned, so it falls short of providing clear guidance.

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