skills.rest
ArabelaTso
ArabelaTsoCOMMUNITY
Explore all skills by this author →
WebsiteGitHub

abstract-domain-explorer

Perform static analysis of program variables using abstract interpretation domains.

142|14|Updated Feb 14, 2026
Search Tags:#static analysis#code analysis#program analysis#abstract interpretation#invariant inference#abstract domains
One-click install
npx skills add https://github.com/ArabelaTso/Skills-4-SE --skill abstract-domain-explorer
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: abstract-domain-explorer
Source: https://github.com/ArabelaTso/Skills-4-SE/tree/main/skills/abstract-domain-explorer
Command: npx skills add https://github.com/ArabelaTso/Skills-4-SE --skill abstract-domain-explorer

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

This Skill automates the static analysis of program variables to infer invariants, value ranges, and relationships, helping to detect potential errors and understand program properties without execution.

Core Features & Use Cases

  • Abstract Interpretation: Applies various abstract domains (intervals, octagons, polyhedra, sign, congruence) for static analysis.
  • Invariant Inference: Infers loop invariants, variable ranges, and inter-variable relationships.
  • Error Detection: Helps identify potential errors like division by zero or array out-of-bounds access.
  • Use Case: When analyzing a complex loop, use this Skill to determine the precise range of a loop counter or to prove that a pointer will always remain within array bounds.

Quick Start

Analyze the provided C code snippet using the interval domain to determine the possible range of variable 'x'.

Frequently Asked Questions about abstract-domain-explorer

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

FAQPage Schema
How do I infer loop invariants and variable ranges using static analysis?▼

Static analysis using abstract interpretation infers loop invariants and variable ranges by evaluating program code across abstract domains like intervals and polyhedra without executing the program. It identifies program properties and value ranges for error detection.

What's the best way to detect array out-of-bounds access or division by zero in code?▼

Detect array out-of-bounds access or division by zero by applying abstract interpretation to infer variable ranges and inter-variable relationships. Proving that variables remain within specific bounds ensures potential errors are identified without running the program.

How do I choose between intervals, octagons, and polyhedra for program analysis?▼

Choose abstract domains for program analysis based on your specific goals: intervals for simple value ranges, octagons for basic inter-variable relationships, and polyhedra for complex relational constraints. Selecting the appropriate domain balances analysis precision with computational cost.

How do I ensure loop termination during static analysis with abstract interpretation?▼

Ensure loop termination during static analysis by utilizing widening techniques within the abstract interpretation process. Widening accelerates the convergence of fixpoint computations, preventing infinite loops when analyzing complex program loops across abstract domains.

Can I use abstract interpretation to analyze C code snippets and determine variable ranges?▼

Yes, you can analyze C code snippets using abstract interpretation to determine the precise range of variables. By applying domains like intervals to the code, static analysis evaluates possible values and infers properties without program execution.

Related Skills

Explore More Software Engineering Skills→
rainoftimerainoftime
17

abstract-interpretation-engine

Implement abstract interpretation for static program analysis with abstract domains and fixpoint computation.

Community
Advanced
ArabelaTsoArabelaTso
142

abstract-trace-summarizer

Summarize program execution traces and behavior using abstract interpretation.

Community
Advanced
scooter-lacroixscooter-lacroix
8

TLDR Deep Analysis

Analyze code functions via AST, call graph, CFG, DFG, and program slicing.

Community
Advanced
curiositechcuriositech
2

runtime-verification-for-agents

Compile formal invariants into runtime monitors for agent coordination daemons.

Official
Advanced