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sympy_emptyset

Create an empty set for symbolic mathematics operations in SymPy, representing a set with no elements for use in algebraic computations and logical expressions.

Instructions

Empty set.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior2/5

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

With no annotations provided, the description carries the full burden of behavioral disclosure. 'Empty set.' doesn't indicate whether this is a constructor, a constant, a function that returns an empty set, or something else. It provides no information about side effects, permissions needed, or what the output represents. For a tool with zero annotation coverage, this is insufficient behavioral context.

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

Conciseness3/5

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

The description is extremely concise ('Empty set.') but this borders on under-specification rather than effective brevity. While it doesn't waste words, it also doesn't provide enough information to be truly helpful. The single phrase is front-loaded but lacks substance, making it minimally adequate but not exemplary.

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?

Given that the tool has 0 parameters, 100% schema coverage, and an output schema exists, the description's job is simplified. However, for a mathematical tool in the SymPy ecosystem with many sibling alternatives, the description should at least clarify what operation this performs. The current description is technically complete for the simplest interpretation but leaves important contextual gaps about how this fits with other set tools.

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

Parameters4/5

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

The tool has 0 parameters with 100% schema description coverage, so the schema fully documents the parameter situation. The description doesn't need to add parameter semantics, and it doesn't incorrectly suggest parameters exist. The baseline for 0 parameters with complete schema coverage is 4, as the description appropriately avoids discussing nonexistent parameters.

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

Purpose2/5

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

The description 'Empty set.' is a tautology that merely restates the tool name without explaining what the tool does. It doesn't specify whether this creates, returns, or represents an empty set, nor does it distinguish this from sibling tools like sympy_finite_set or sympy_universalset. The purpose remains vague despite the simple nature of the tool.

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

Usage Guidelines1/5

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. There are multiple set-related tools in the sibling list (sympy_finite_set, sympy_universalset, sympy_intersection, sympy_union, sympy_complement), but the description offers no context about when this specific empty set tool is appropriate. This leaves the agent with no usage direction.

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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