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IBM

MCP Math Server

by IBM

less_than_or_equal

Compare two numbers to determine if the first value is less than or equal to the second value. This arithmetic comparison tool helps verify numerical relationships and validate constraints in mathematical calculations.

Instructions

Check if the first number is less than or equal to the second number. (Domain: arithmetic, Category: comparison)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
aYes
bYes
Behavior2/5

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

No annotations are provided, so the description carries the full burden. It states the tool's function but doesn't disclose behavioral traits like error handling (e.g., for non-numeric inputs), performance characteristics, or what happens with special values like NaN or infinity. For a comparison tool with zero annotation coverage, this is a significant gap.

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?

The description is extremely concise—a single sentence that directly states the tool's purpose, followed by domain/category metadata. There is zero waste, and the core functionality is front-loaded, making it easy for an agent to parse quickly.

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

Completeness2/5

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

Given the tool's simplicity (2 parameters, no output schema, no annotations), the description is incomplete. It doesn't explain the return value (presumably a boolean), error conditions, or how it compares to similar tools. While concise, it lacks the context needed for reliable agent invocation in a crowded namespace of comparison tools.

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?

The description adds minimal semantic context by naming the parameters as 'first number' and 'second number', which aligns with the schema's 'a' and 'b'. However, with 0% schema description coverage, the schema provides no parameter descriptions. The description doesn't compensate by explaining parameter roles, constraints, or examples beyond the basic naming.

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 verb ('Check if') and the specific operation ('first number is less than or equal to the second number'), making the purpose unambiguous. It also distinguishes this tool from its sibling 'less_than' and 'greater_than_or_equal' by specifying the exact comparison operation.

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

Usage Guidelines2/5

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 like 'less_than', 'greater_than_or_equal', or 'between'. It mentions the domain (arithmetic) and category (comparison), but this is too generic to help an agent choose between sibling comparison tools.

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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