axiomatic-semantics

Define program correctness using Hoare logic and weakest preconditions.

17|2|Updated Feb 16, 2026
One-click install
npx skills add https://github.com/rainoftime/pl-skills --skill axiomatic-semantics
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: axiomatic-semantics
Source: https://github.com/rainoftime/pl-skills/tree/main/axiomatic-semantics
Command: npx skills add https://github.com/rainoftime/pl-skills --skill axiomatic-semantics

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires hoare-logic-verifier, separation-logician, and includes references (resource) and scripts (resource) components.

What problem does it solve?

This Skill addresses the challenge of formally verifying program correctness by defining program meaning through logical assertions and proof rules, primarily using Hoare logic.

Core Features & Use Cases

  • Formal Verification: Prove that programs meet their specifications.
  • Specification: Define precise pre- and post-conditions for program segments.
  • Use Case: Ensuring a critical sorting algorithm always produces a correctly sorted list, regardless of input.

Quick Start

Use the axiomatic-semantics skill to define the weakest precondition for the given code snippet and assertion.

Frequently Asked Questions about axiomatic-semantics

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I prove program correctness using Hoare logic for a sorting algorithm?

Prove program correctness using Hoare logic by defining pre- and post-conditions to verify that a sorting algorithm always produces a correctly sorted list. This Skill applies logical assertions and proof rules to establish formal verification for your code.

What is axiomatic semantics and when do I need it for formal verification?

Axiomatic semantics defines program meaning using logical assertions and proof rules. You need it for formal verification when specifying program behavior and deriving correctness properties in domains like formal methods, compiler design, and security analysis.

How do I compute the weakest precondition for a given code snippet?

Compute the weakest precondition by using this Skill to apply Hoare logic rules to your code snippet and logical assertion. This process derives the exact conditions required before execution to guarantee the specified post-condition is met.

Do I need a Hoare logic verifier to define program semantics and specifications?

Yes, using a Hoare logic verifier is required as a dependency to define program semantics and specifications. This Skill relies on it alongside separation logic tools to execute formal correctness proofs and compute logical preconditions.

Can I use axiomatic semantics for security analysis and compiler design?

Yes, you can use axiomatic semantics for security analysis and compiler design. It defines program behavior through logical assertions and proof rules, allowing you to derive correctness properties and ensure secure program execution in these contexts.

What is the best way to specify precise pre- and post-conditions for program segments?

The best way to specify pre- and post-conditions is by applying Hoare logic proof rules to define logical assertions for program segments. This approach enables formal verification by ensuring the code satisfies the specified behavioral requirements.