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Choose a proof strategy in logic v1.0.0

Use this resource to choose and structure a proof strategy in logic

New

  • 400 downloads
  • 125 likes
  • 219 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install proof-strategies-induction-logic

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 picks the right proof strategy, checks the base case and the induction step with Z3, and draws on Gentzen's cut elimination for formal proofs. You get a structured proof.

Mostly picked by

Updated November 2, 2026

Card for the “Choose a proof strategy in logic” 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 (proof strategies, structural induction, cut elimination)
  • SKILL.md: Z3 commands (base, step, soundness) and Math_Verify

Good fit for

  • You must choose between direct proof and proof by contradiction
  • You prove a property by induction

Not for

    Tags

    • proof
    • logic
    • induction
    • gentzen

    About

    You say

    “Prove by induction that the sum of the first n integers is n(n+1)/2.”

    Card for the “Choose a proof strategy in logic” 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 choose and structure a proof strategy in logic
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md1.8 KB

    Origin and licence

    Listed unmodified

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

    Notice

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

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