generate_sidon_set

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

No annotations are provided, so the description carries full burden. It states what the tool generates but doesn't disclose behavioral traits like computational complexity, output format, whether it's deterministic, error handling, or any constraints (e.g., parameter limits). The description is minimal and lacks operational context.

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 extremely concise—a single sentence that efficiently states the tool's purpose and domain. It's front-loaded with the core functionality and wastes no words, though this brevity comes at the cost of completeness.

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?

Given the complexity (mathematical sequence generation with two parameters), no annotations, 0% schema coverage, and no output schema, the description is inadequate. It doesn't explain what the tool returns, how parameters interact, or any implementation details. For a tool with undocumented parameters and no structured context, more descriptive content is needed.

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%, and the description provides no information about the parameters 'limit' and 'size'. It doesn't explain what these parameters mean, their units, valid ranges, or how they affect the generated Sidon set. The description fails to compensate for the lack of schema documentation.

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's purpose: 'Generate a Sidon set (B_h sequence) - no two distinct sums are equal.' It specifies the verb ('Generate'), resource ('Sidon set'), and provides a mathematical property definition. However, it doesn't explicitly differentiate from sibling tools, though the domain/category context helps.

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 provides no guidance on when to use this tool versus alternatives. While it mentions the domain ('arithmetic') and category ('additive_number_theory'), it offers no explicit usage context, prerequisites, or comparison with sibling tools that might handle similar mathematical sequences.

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