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Agent skill

Predicate Logic

by parcadei in parcadei/Continuous-Claude-v3

Problem-solving strategies for predicate logic in mathematical logic

MITAuto-check: notes

Install Predicate Logic

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

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

GitHub CLI
$ gh skill install parcadei/Continuous-Claude-v3 predicate-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/predicate-logic .claude/skills/predicate-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
predicate-logic
GitHub stars
3.9k
Used in
1 other repo
Token cost
~440 tokens
SKILL.md length
131 words
Files
1
Skills in repo
141
Repo updated
First seen
Licence
MIT

At a glance

Problem-solving strategies for predicate logic in mathematical logic

  • Works in 5 steps: Quantifier Analysis → Prenex Normal Form → Skolemization (for Exists) → …
  • SKILL.md covers When to Use, Decision Tree, Tool Commands and Cognitive Tools Reference
  • Calls uv

What it does

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

Its SKILL.md is about 440 tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

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.

Example prompts

  • “/predicate-logic”

Requirements

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

Workflow steps

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

  1. Quantifier Analysis
  2. Prenex Normal Form
  3. Skolemization (for Exists)
  4. Resolution Proof
  5. Model Theory

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

Predicate Logic loads about 440 tokens when it runs. Until then it costs about 21 tokens; SKILL.md has 131 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~21
When it runs · the whole SKILL.md, loaded when a task matches
~440

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). 131 words, ~440 tokens.

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

Predicate Logic

When to Use

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

Decision Tree

  1. Quantifier Analysis

    • Identify: ForAll (universal), Exists (existential)
    • Scope of quantifiers and free/bound variables
    • z3_solve.py prove "ForAll([x], P(x)) implies P(a)"

  2. Prenex Normal Form

    • Move all quantifiers to front
    • Standardize variables to avoid capture
    • sympy_compute.py simplify "prenex(formula)"

  3. Skolemization (for Exists)

    • Replace existential quantifiers with Skolem functions
    • Exists x. P(x) -> P(c) or P(f(y)) depending on scope
    • Needed for resolution-based proofs

  4. Resolution Proof

    • Convert to CNF, negate conclusion
    • Apply resolution rule until empty clause or saturation
    • z3_solve.py prove "resolution_valid"

  5. Model Theory

    • Construct countermodel to refute invalid argument
    • Finite model for finite domain
    • z3_solve.py model "Exists([x], P(x) & Not(Q(x)))"

Tool Commands

Z3_Forall
bash
uv run python -m runtime.harness scripts/z3_solve.py prove "ForAll([x], Implies(P(x), Q(x)))"
Z3_Exists
bash
uv run python -m runtime.harness scripts/z3_solve.py sat "Exists([x], And(P(x), Not(Q(x))))"
Z3_Universal_Instantiation
bash
uv run python -m runtime.harness scripts/z3_solve.py prove "Implies(ForAll([x], P(x)), P(a))"
Z3_Model
bash
uv run python -m runtime.harness scripts/z3_solve.py model "Exists([x], P(x))"

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/predicate-logic of parcadei/Continuous-Claude-v3.

Open the folder on GitHubat commit d07ff4b

Used in 1 other repository

We found 1 copy of this SKILL.md (exact, near-identical or edited) in other folders, from 1 other GitHub owner. This page covers the copy in parcadei/Continuous-Claude-v3, which our catalogue first saw on October 7, 2026.

Compare with similar skills

Predicate 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.

Predicate Logic compared with similar skills
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Predicate Logic this skillparcadei/Continuous-Claude-v33.9k1 repos~440Automated safety check: NotesMIT
Good Strategy Bad Strategywondelai/skills2.4k—~4.8kAutomated safety check: PassMIT
Product Strategyphuryn/pm-skills27k—~1.2kAutomated safety check: PassMIT
Vc Problem Solvingwithkynam/vibecode-pro-max-kit1.1k2 repos~1.1kAutomated safety check: PassMIT
Launch Strategyalirezarezvani/claude-skills28k—~1.4kAutomated safety check: PassMIT
Pricing Strategyalirezarezvani/claude-skills28k1 repos~3.5kAutomated safety check: PassMIT

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Questions about Predicate Logic

What does Predicate Logic do?

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

How do I install Predicate Logic in Claude Code?

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

How do I install Predicate Logic in Codex?

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

Can I use Predicate 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 predicate-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/predicate-logic, .gemini/skills/predicate-logic, .github/skills/predicate-logic and .opencode/skills/predicate-logic in your project.

What does Predicate Logic need to run?

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

Does Predicate 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 Predicate 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 Predicate Logic use?

Predicate 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 Predicate Logic use?

About 440 tokens (SKILL.md is roughly 1.8k 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 Predicate Logic?

Skills that share tags, products or a category with Predicate Logic: Good Strategy Bad Strategy (wondelai/skills, 2.4k stars), Product Strategy (phuryn/pm-skills, 27k stars), Vc Problem Solving (withkynam/vibecode-pro-max-kit, 1.1k stars) and Launch Strategy (alirezarezvani/claude-skills, 28k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Predicate Logic?

parcadei (a GitHub user) maintains it in parcadei/Continuous-Claude-v3, which has 3,940 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.