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sympy_emptyset

Generate an empty set for symbolic algebra, useful as a starting point in set operations or representing no solutions.

Instructions

Empty set.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes

Implementation Reference

  • The function that implements the 'sympy_emptyset' tool. It returns the string representation of SymPy's EmptySet.
    @mcp.tool()
    def sympy_emptyset() -> str:
        """Empty set."""
        return str(EmptySet())
  • The @mcp.tool() decorator that registers 'sympy_emptyset' as an MCP tool.
    @mcp.tool()
  • Import of EmptySet from sympy, which is used by the emptyset tool.
    EmptySet,
Behavior2/5

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

No annotations provided, and the description offers no behavioral details beyond the identity of the tool. It does not disclose side effects, return value nature, or operational traits.

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

Conciseness4/5

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

The description is extremely concise (2 words) and front-loaded. It is appropriately sized for a constant tool, though it could be slightly more informative.

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 the low complexity (0 parameters, constant), the description is nearly complete. However, it does not specify that it returns a SymPy EmptySet object, which an output schema might cover but is not shown.

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 tool has no parameters, and schema description coverage is 100% (vacuous). The description adds no parameter information, which meets the baseline of 3 for high coverage.

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

Purpose3/5

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

The description 'Empty set.' clearly identifies the tool as representing the empty set. However, it lacks a verb and does not differentiate from siblings like sympy_finite_set or sympy_interval beyond the constant nature.

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?

No guidance on when to use this tool versus alternatives such as sympy_finite_set or sympy_interval. The description does not mention context, prerequisites, or exclusions.

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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