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NewJerseyStyle

FOL Prover MCP Server

parse_formula

Validate a first-order logic formula syntactically and list its variables, constants, and predicates.

Instructions

Parse and validate a FOL formula. Returns information about variables, constants, predicates, and whether the formula is syntactically valid.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
formulaYesFOL formula to parse
Behavior4/5

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 discloses that the tool returns parsed information and validation status, which is transparent. However, it does not explicitly state that the operation is read-only and non-destructive.

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 two sentences, front-loads the main purpose, and contains no redundant words. Every sentence adds value.

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

Completeness4/5

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

Given only one parameter and no output schema, the description is fairly complete. It explains the tool's operation and return information. A minor gap is the lack of mention of error handling for invalid formulas.

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?

There is only one parameter ('formula') and the schema already describes it as 'FOL formula to parse'. The description adds no additional meaning beyond what the schema provides. Since schema description coverage is 100%, the baseline score of 3 is appropriate.

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?

Description clearly states the tool parses and validates FOL formulas, listing specific return information (variables, constants, predicates, syntactic validity). This distinguishes it from sibling tools which focus on session management or proving.

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?

Description implies usage for validating or extracting components from FOL formulas but does not provide explicit guidance on when to use this tool versus alternatives, nor when not to use it.

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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