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solve_logic_program

Check satisfiability of a structured logic program defined with sorts, functions, and constraints using Z3.

Instructions

Solve a structured logic program (Logic-LLM format).

The program should have sections:

Declarations

  • EnumSort, IntSort, Function declarations

Constraints

  • Logical constraints

Example:

# Declarations
Color = EnumSort([red, green, blue])
assign = Function(Object -> Color)

# Constraints
assign(obj1) != assign(obj2)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
logic_programYesStructured logic program
timeout_msNoTimeout in milliseconds (default: 30000)
Behavior2/5

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

No annotations are provided, and the description lacks information about side effects, error handling, or whether the solver modifies state. The timeout parameter is mentioned in schema but not in description.

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 reasonably concise, providing necessary format details and an example. It could be slightly more compact by trimming the example, but it remains focused.

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?

The description adequately covers the input format but fails to specify output behavior (e.g., returns solution or status). Given the complexity of the tool and lack of output schema, more guidance on expected results would improve completeness.

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?

Schema coverage is 100% with clear parameter descriptions. The description adds significant value by detailing the required format and providing a concrete example for the logic_program string parameter.

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 that the tool solves structured logic programs in Logic-LLM format, with an example distinguishing it from siblings like solve_smtlib that use SMT-LIB format.

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

Usage Guidelines3/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description explains the required sections and provides an example, but does not explicitly guide when to use this tool over alternatives like solve, prove, or check_sat.

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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