predicate-logic

Solve predicate logic problems using quantifier analysis and Z3 solver.

8|1|Updated Jan 4, 2026

Search Tags:#theorem proving #mathematical logic #formal methods #z3 solver #predicate logic #quantifiers

Ready to run

npx skills add https://github.com/scooter-lacroix/Maestro --skill predicate-logic

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: predicate-logic
Source: https://github.com/scooter-lacroix/Maestro/tree/main/maestro/skills/math/math/mathematical-logic/predicate-logic
Command: npx skills add https://github.com/scooter-lacroix/Maestro --skill predicate-logic

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill helps users solve problems in predicate logic, a fundamental area of mathematical logic.

Core Features & Use Cases

Quantifier Analysis: Understand and manipulate universal (ForAll) and existential (Exists) quantifiers.
Normal Forms: Convert logical formulas into standard forms like Prenex Normal Form.
Proof Strategies: Apply techniques like Skolemization and resolution for proving or refuting arguments.
Model Theory: Construct models to verify or falsify logical statements.
Use Case: Prove the validity of a complex logical statement involving quantifiers using automated theorem provers.

Quick Start

Use the predicate-logic skill to prove the statement 'ForAll([x], Implies(P(x), Q(x)))'.

Frequently Asked Questions about predicate-logic

High-intent search queries and answers about installing and using this skill.

FAQPage Schema

How do I prove the validity of a logical statement involving quantifiers?▼

Convert predicate logic formulas to Prenex Normal Form by moving all universal and existential quantifiers to the front of the formula, preparing them for subsequent Skolemization and resolution proof steps.

What is Skolemization in mathematical logic and when is it needed?▼

Model theory construction in predicate logic involves building mathematical structures to verify or falsify logical statements, often working alongside automated theorem provers to check statement validity.

Does the Z3 solver work for predicate logic theorem proving?▼

Yes, the Z3 solver is utilized for automated theorem proving and model checking, effectively handling predicate logic statements and quantifier analysis to prove or refute arguments.

How do I convert logical formulas into Prenex Normal Form?▼

Convert predicate logic formulas to Prenex Normal Form by moving all universal and existential quantifiers to the front, preparing them for subsequent Skolemization and resolution proof steps.