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Propositional logic: truth tables and SAT v1.0.0

Use this resource to classify a propositional formula and test its satisfiability

New

  • 480 downloads
  • 188 likes
  • 104 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install propositional-truth-tables

With no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.

First time: connect the CLI with

npx --yes palatekit@latest login

The agent identifies the main connective and classifies the formula, then builds the truth table for formulas of up to four variables. It checks satisfiability with Z3 and applies deduction rules such as modus ponens. You get a classification and a commented deduction.

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Updated November 2, 2026

Card for the “Propositional logic: truth tables and SAT” skill

Details

Works in
Install guides
Generates with
Your agent's model
Licence
MIT

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What you get

  • SKILL.md: decision tree (classification, truth table, natural deduction)
  • SKILL.md: Z3 commands (satisfiability, tautology) and SymPy (truth table)

Good fit for

  • You need to know whether a formula is a tautology
  • You are reviewing deduction rules such as modus ponens

Not for

    Tags

    • propositional logic
    • truth table
    • tautology
    • deduction

    About

    You say

    “Is the formula p ∧ (p → q) → q a tautology?”

    Card for the “Propositional logic: truth tables and SAT” skill

    Skill published by parcadei under the MIT license, delivered in its original version.

    Show more

    How to use it

    1. Install the skill in your agent's skills folder
    2. Ask your agent to classify a propositional formula and test its satisfiability
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md1.7 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/mathematical-logic/propositional-logic
    Licence
    MIT

    Notice

    « propositional-logic » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.

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