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NewJerseyStyle

FOL Prover MCP Server

set_conclusion

Define a first-order logic formula as the goal to prove within a theorem proving session. This sets the target conclusion for the prover to verify.

Instructions

Set the conclusion (goal) to prove in the current session.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
conclusionYesFOL formula to prove
sessionNoSession name (defaults to current session)
Behavior2/5

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

With no annotations, the description carries the full burden of disclosing behaviors. It does not indicate if setting a conclusion overwrites a previous one, what happens with invalid formulas, or that it is a prerequisite for 'prove'. The description is too terse to be informative about behavior.

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 very concise with 9 words, but it lacks key information about usage and behavior. While front-loaded, it is arguably too brief for a tool with two parameters and no surrounding context.

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 no output schema or annotations, the description should provide more context, such as the relationship to sibling tools (e.g., that 'prove' uses this conclusion) and error conditions. It is not complete for a tool that is part of a proving workflow.

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 input schema already has 100% coverage with descriptions for both parameters ('FOL formula to prove' and 'Session name'). The description adds no additional parameter details beyond the schema, thus meeting the baseline for high coverage.

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

Purpose4/5

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

The description clearly states the tool's purpose: setting the conclusion (goal) for a session. It uses a specific verb 'set' and identifies the resource 'conclusion'. While it differentiates from sibling tools like 'prove' or 'add_premise' by focusing on the goal setting, it could be more explicit about the scope.

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 is provided on when to use this tool versus alternatives such as 'add_premise' or 'prove'. The description does not mention prerequisites (e.g., a session must exist) or typical usage patterns.

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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