Propositional Logic

Q: What is a Claude Code skill and how does the Propositional Logic skill fit in?

A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Propositional Logic is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Content category. Learn more at https://claudskills.com/learn/what-is-skill-md/.

Category: Content · Sub-category: translation · Last updated: 2026-05-21

The logic of sentential connectives -- and, or, not, if-then, if-and-only-if -- as a formal system. Covers syntax (well-formed formulas), semantics (truth tables), satisfiability, validity, logical equivalence, normal forms (CNF, DNF), natural-deduction rules, and common translation pitfalls. Use when formalizing arguments with propositional structure, checking validity mechanically, or teaching the foundations of formal reasoning.

Security AStatic scan found no risk patternsHow grading works ›

About this skill (catalog notes)

Propositional Logic includes explicit scope boundaries (an explicit 'when not to use' or 'out of scope' section); at least one code block. At roughly 1,778 words the SKILL.md is on the longer end of the catalog distribution.

Indexed lastmod: 2026-05-21
Catalog position: Content · translation
Indexed related skills: 10

How Propositional Logic fits the catalog

Propositional Logic sits in the Content category under the translation sub-topic in the ClaudSkills catalog. There are 10 related skills indexed alongside it; comparing a few before installing usually reveals which fits your workflow best.

These notes are auto-generated from features detected in the SKILL.md file and from this catalog's structure — they aren't part of the source repository.

From the source SKILL.md

Propositional logic (also called sentential logic or zeroth-order logic) is the formal study of how truth values combine under sentential connectives. It is the entry point to formal logic and the foundation of every downstream system: predicate logic extends it with quantifiers, modal logic extends it with possibility and necessity, and computer science uses it everywhere from circuit design to SAT solvers. This skill covers the syntax, semantics, proof theory, and translation discipline of propositional logic as taught in introductory logic courses.

What this skill does

Propositional Logic is a community-contributed Claude Code skill in the translation sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/propositional-logic/ and loads when your prompt matches the skill's trigger.

When to invoke it: Use when formalizing arguments with propositional structure, checking validity mechanically, or teaching the foundations of formal reasoning.

Who uses this skill

The Propositional Logic Claude Code skill is built for content creators, marketers, copywriters, SEO professionals, and editorial teams. It's part of ClaudSkills (also referred to as Claude Skills or Claude Code Skills) — the open community-curated registry of 115,000+ SKILL.md files for Anthropic's Claude Code agent and the wider Claude ecosystem (Claude API, Claude Agent SDK).

How to install

Free

Manual install (2 steps)

mkdir -p ~/.claude/skills/propositional-logic
curl -L https://claudskills.com/skills/propositional-logic/SKILL.md \
  -o ~/.claude/skills/propositional-logic/SKILL.md

Or just download SKILL.md directly and drop it into ~/.claude/skills/propositional-logic/. Claude Code auto-discovers it on next session.

Skills live at ~/.claude/skills/propositional-logic/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\propositional-logic\SKILL.md on Windows. See the full install guide for step-by-step instructions.

📱 Install from your phone or desktop Telegram

Open @claudskills_bot on Telegram, tap Open Desktop App, and the desktop app installs this skill for you. Or share the bot link with a colleague — they get the same one-tap install. Learn more →

Pro

One-click install via the desktop app

The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.

Pro

For the full experience including quality scoring and one-click install features for each skill — upgrade to Pro.

See pricing → Download desktop app

Frequently asked questions

How do I install the Propositional Logic Claude Code skill?

Install via the ClaudSkills desktop app (one click) or copy SKILL.md from the source repository to ~/.claude/skills/propositional-logic/SKILL.md and restart Claude Code. Both flows are detailed at claudskills.com/install/.

What does the Propositional Logic skill do?

Is this skill free to install?

Yes. ClaudSkills is an open registry — every skill keeps its source repository's license, and manual install via copy is free. ClaudSkills Pro ($9/mo, $79/yr, or $149 one-time) adds one-click install via the desktop app and a multi-signal Quality Score.

When should I use the Propositional Logic skill?

Use Propositional Logic when your Claude Code task falls under the Content category — specifically in the translation area. Claude Code auto-discovers installed skills and invokes the right one based on the task description, so you can also ask Claude directly (e.g. "use Propositional Logic" or describe the task and let Claude pick). Browse related skills at /category/content/.

What is a Claude Code skill and how does the Propositional Logic skill fit in?

A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Propositional Logic is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Content category. Learn more at /learn/what-is-a-claude-skill/.

Cite this skill

If you reference this skill in a blog post, paper, or documentation, you can cite it as:

APA

ClaudSkills. (2026). Propositional Logic [Claude Code skill]. ClaudSkills. https://claudskills.com/skills/propositional-logic/

BibTeX

@misc{propositional-logic-2026,
  author    = {ClaudSkills},
  title     = {Propositional Logic [Claude Code skill]},
  year      = {2026},
  publisher = {ClaudSkills},
  url       = {https://claudskills.com/skills/propositional-logic/}
}

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Security scan

Grade A · scanned 2026-06-13 — free static scan against the OWASP Agentic Skills Top 10.

No risk patterns were found in any of the ten OWASP-aligned categories. How grading works ›

✓ Prompt injection
✓ Data exfiltration
✓ Supply chain
✓ Reverse shell
✓ Credentials
✓ Execution
✓ Filesystem
✓ Persistence
✓ Obfuscation
✓ Network

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