ReddRadar
Agent skill
reduction-builder
Construct and verify polynomial-time reductions between computational problems
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/computer-science/skills/reduction-builder
Metadata
Additional technical details for this skill
- phase
- 6
- domain
- science
- category
- complexity-theory
- specialization
- computer-science
SKILL.md
Reduction Builder
Purpose
Provides expert guidance on constructing polynomial-time reductions for NP-completeness proofs and problem classification.
Capabilities
- Gadget library for common reductions (3-SAT, Vertex Cover, etc.)
- Reduction verification (correctness in both directions)
- Polynomial-time verification
- Visualization of gadget constructions
- Generate reduction documentation
- Chain multiple reductions
Usage Guidelines
- Problem Analysis: Understand source and target problem structures
- Gadget Selection: Choose or design appropriate gadgets
- Reduction Construction: Build the polynomial-time mapping
- Correctness Proof: Prove both directions of the reduction
- Time Analysis: Verify polynomial running time
Tools/Libraries
- Graph visualization
- LaTeX documentation
- Formal verification tools
Recommended Agent Skills
Expand your agent's capabilities with these related and highly-rated skills.
a5c-ai/babysitter
gsd-tools
Central utility skill for GSD operations. Provides config parsing, slug generation, timestamps, path operations, and orchestrates calls to other specialized skills. Acts as the unified entry point that the original gsd-tools.cjs provided via its lib/ modules (commands, config, core, init).
a5c-ai/babysitter
model-profile-resolution
Resolve model profile (quality/balanced/budget) at orchestration start and map agents to specific models. Enables cost/quality tradeoffs by selecting appropriate AI models for each agent role.
a5c-ai/babysitter
verification-suite
Plan structure validation, phase completeness checks, reference integrity verification, and artifact existence confirmation. Provides the structured verification layer ensuring GSD artifacts are well-formed and complete.
a5c-ai/babysitter
state-management
STATE.md reading, writing, and field-level updates. Provides cross-session state persistence via .planning/STATE.md with structured fields for current task, completed phases, blockers, decisions, and quick tasks.
a5c-ai/babysitter
git-integration
Git commit patterns, formats, and conventions for GSD methodology. Provides atomic commits per task, structured commit messages, planning file commits, branch management, and milestone tag operations.
a5c-ai/babysitter
frontmatter-parsing
YAML frontmatter parsing and manipulation for .planning/ documents. Provides read, write, update, query, and validation operations on frontmatter blocks in GSD markdown artifacts.
Didn't find tool you were looking for?