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Agent skill

Propositional Logic

by parcadei in parcadei/Continuous-Claude-v3

Problem-solving strategies for propositional logic in mathematical logic

MITAuto-check: notesResearch & Science

Install Propositional Logic

skills CLI
$ npx skills add parcadei/Continuous-Claude-v3 --skill propositional-logic -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install parcadei/Continuous-Claude-v3 propositional-logic --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .claude/skills && cp -r skills-src/.claude/skills/math/mathematical-logic/propositional-logic .claude/skills/propositional-logic && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
propositional-logic
GitHub stars
3.9k
Used in
2 other repos
Token cost
~410 tokens
SKILL.md length
116 words
Files
1
Skills in repo
141
Repo updated
First seen
Licence
MIT

At a glance

Problem-solving strategies for propositional logic in mathematical logic

  • Works in 4 steps: Identify Formula Structure → Truth Table Method → Natural Deduction → …
  • Research & Science work in your project
  • SKILL.md covers When to Use, Decision Tree, Tool Commands and Cognitive Tools Reference
  • Calls uv

What it does

Propositional Logic is an agent skill from parcadei/Continuous-Claude-v3. Problem-solving strategies for propositional logic in mathematical logic

Its SKILL.md is about 410 tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

It sits in Research & Science. The repository describes itself as: Context management for Claude Code. Hooks maintain state via ledgers and handoffs. MCP execution without context pollution. Agent orchestration with isolated context windows. The licence is MIT.

When your agent uses it

  • Research & Science work in your project

Example prompts

  • “/propositional-logic”

Requirements

  • Python 3
  • Pre-approved tools (allowed-tools): Bash, Read

Workflow steps

4 steps, taken from the first numbered list in SKILL.md.

  1. Identify Formula Structure
  2. Truth Table Method
  3. Natural Deduction
  4. Semantic Tableaux

What it can do on your machine

Read from SKILL.md and the folder at commit d07ff4b. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves these tools, so the agent can use them without asking each time:

    • Bash
    • Read

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    Shell commands in SKILL.md call:

    • uv

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md. Its commands use uv, which can reach the network depending on how they are called.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Propositional Logic loads about 410 tokens when it runs. Until then it costs about 23 tokens; SKILL.md has 116 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~23
When it runs · the whole SKILL.md, loaded when a task matches
~410

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check: notes

The automated check noted patterns worth knowing about, such as sudo or a known installer.

  • NotePre-approves every shell command (allowed-tools: Bash)SKILL.md
    allowed-tools: Bash, Read

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

The full file from parcadei/Continuous-Claude-v3 at commit d07ff4b, republished under its MIT licence (© parcadei). 116 words, ~410 tokens.

Download SKILL.mdSave it as .claude/skills/propositional-logic/SKILL.md (or your agent's skills folder).
name
propositional-logic
description
Problem-solving strategies for propositional logic in mathematical logic
allowed-tools
Bash, Read

Propositional Logic

When to Use

Use this skill when working on propositional-logic problems in mathematical logic.

Decision Tree

  1. Identify Formula Structure

    • Classify: tautology, contradiction, or contingent?
    • Main connective: AND, OR, IMPLIES, NOT, IFF?
    • z3_solve.py sat "formula" to check satisfiability

  2. Truth Table Method

    • For small formulas (<=4 variables): enumerate all valuations
    • sympy_compute.py truthtable "p & (p -> q) -> q"
    • Tautology = all T, Contradiction = all F

  3. Natural Deduction

    • Apply inference rules: Modus Ponens, Modus Tollens
    • Conditional proof: assume antecedent, derive consequent
    • z3_solve.py prove "Implies(And(p, Implies(p,q)), q)"

  4. Semantic Tableaux

    • Build tree by decomposing formula
    • Closed branches = contradictions
    • All branches closed = valid argument

Tool Commands

Z3_Sat
bash
uv run python -m runtime.harness scripts/z3_solve.py sat "And(p, Implies(p, q), Not(q))"
Z3_Tautology
bash
uv run python -m runtime.harness scripts/z3_solve.py prove "Implies(And(p, Implies(p, q)), q)"
Sympy_Truthtable
bash
uv run python -m runtime.harness scripts/sympy_compute.py truthtable "p & (p >> q) >> q"
Z3_Modus_Ponens
bash
uv run python -m runtime.harness scripts/z3_solve.py prove "Implies(And(p, Implies(p,q)), q)"

Cognitive Tools Reference

See .claude/skills/math-mode/SKILL.md for full tool documentation.

© parcadei, MIT. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file

Files

Just SKILL.md in .claude/skills/math/mathematical-logic/propositional-logic of parcadei/Continuous-Claude-v3.

Open the folder on GitHubat commit d07ff4b

Used in 2 other repositories

We found 2 copies of this SKILL.md (exact, near-identical or edited) in other folders, from 2 other GitHub owners. This page covers the copy in parcadei/Continuous-Claude-v3, which our catalogue first saw on October 7, 2026.

Compare with similar skills

Propositional Logic next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

Propositional Logic compared with similar skills
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Propositional Logic this skillparcadei/Continuous-Claude-v33.9k2 repos~410Automated safety check: NotesMIT
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GitHub Deep Researchbytedance/deer-flow84k4 repos~1.3kAutomated safety check: PassMIT
Nature Paper CardYuan1z0825/nature-skills47k2 repos~2.1kAutomated safety check: PassApache-2.0
Content Research Writerweapp-tailwindcss/weapp-tailwindcss1.9k25 repos~3.5kAutomated safety check: PassMIT
Peer Reviewspacering-net/codeg3.9k17 repos~5.9kAutomated safety check: NotesMIT

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Categories

Questions about Propositional Logic

What does Propositional Logic do?

Problem-solving strategies for propositional logic in mathematical logic. Propositional Logic is an agent skill from parcadei/Continuous-Claude-v3.

When should I use Propositional Logic?

Propositional Logic fits situations like: research & Science work in your project.

How do I install Propositional Logic in Claude Code?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill propositional-logic -a claude-code`. Or copy the skill folder (.claude/skills/math/mathematical-logic/propositional-logic in parcadei/Continuous-Claude-v3) into .claude/skills/propositional-logic in your project. Claude Code loads it when a task matches its description.

How do I install Propositional Logic in Codex?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill propositional-logic -a codex`. Or copy the skill folder (.claude/skills/math/mathematical-logic/propositional-logic in parcadei/Continuous-Claude-v3) into .agents/skills/propositional-logic in your project. Codex loads it when a task matches its description.

Can I use Propositional Logic in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add parcadei/Continuous-Claude-v3 --skill propositional-logic -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/propositional-logic, .gemini/skills/propositional-logic, .github/skills/propositional-logic and .opencode/skills/propositional-logic in your project.

What does Propositional Logic need to run?

Going by SKILL.md and its folder, Propositional Logic needs the command-line tools its instructions call (uv). Our summary lists: Python 3. Its frontmatter pre-approves these tools: Bash, Read.

Does Propositional Logic access the network?

SKILL.md contains no URLs. Its commands use uv, which can reach the network depending on how they are called. This is read from the text; nothing was executed.

Is Propositional Logic safe to install?

Our automated static check of SKILL.md found notes only (pre-approves every shell command (allowed-tools: bash)), nothing it rates as a warning. It is not a guarantee. Review the folder before installing.

What licence does Propositional Logic use?

Propositional Logic is published under the MIT licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.

How many tokens does Propositional Logic use?

About 410 tokens (SKILL.md is roughly 1.6k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Propositional Logic?

Skills that share tags, products or a category with Propositional Logic: Hypothesis Generation (spacering-net/codeg, 3.9k stars), GitHub Deep Research (bytedance/deer-flow, 84k stars), Nature Paper Card (Yuan1z0825/nature-skills, 47k stars) and Content Research Writer (weapp-tailwindcss/weapp-tailwindcss, 1.9k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Propositional Logic?

parcadei (a GitHub user) maintains it in parcadei/Continuous-Claude-v3, which has 3,943 GitHub stars. The repository holds 141 skills in this directory. The repository was last updated on January 26, 2026.

Source: parcadei/Continuous-Claude-v3 on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.