discover-systems-theory

name: discover-systems-theory description: Automatically discover eBPF, compiler, programming language theory, information retrieval, and formal verification skills when working with kernel tracing, parsers, type systems, Z3, Lean, or theorem proving license: MIT metadata: author: rand version: "4.0" compatibility: claude-code: ">=1.0.0"

Systems Theory & Language Design Skills Discovery

When This Skill Activates

• eBPF, kernel tracing, XDP, kprobes, BPF
• Compilers, parsers, interpreters, AST, bytecode
• Type systems, type theory, programming language design
• LLVM, IR, SSA, code generation, optimization passes
• Information retrieval, search, ranking, vector search
• Formal verification, theorem proving, model checking
• SAT, SMT, Z3, Lean, constraint solving

Available Skills (32 total)

eBPF (4 skills)

1. ebpf-fundamentals - eBPF programs, verifier, maps
2. ebpf-networking - XDP, TC, socket filtering
3. ebpf-security-monitoring - LSM hooks, syscall tracing
4. ebpf-tracing-observability - kprobes, tracepoints, profiling

Information Retrieval (5 skills)

1. ir-search-fundamentals - Indexing, tokenization, TF-IDF, BM25
2. ir-query-understanding - Query parsing, expansion, intent
3. ir-ranking-reranking - Learning to rank, cross-encoders
4. ir-vector-search - Embeddings, ANN, HNSW, FAISS
5. ir-recommendation-systems - Collaborative/content-based filtering

Programming Language Theory (13 skills)

1. type-systems - Type theory, inference, polymorphism
2. lambda-calculus - Lambda calculus, reduction, Church encodings
3. curry-howard - Propositions as types, proofs as programs
4. dependent-types - Dependent types, refinement types
5. operational-semantics - Small-step, big-step semantics
6. program-verification - Hoare logic, invariants, correctness
7. structure-editors - Structural editing, projectional editors
8. hazelnut-calculus - Hazelnut typed holes calculus
9. live-programming-holes - Live programming with typed holes
10. typed-holes-foundations - Typed holes theory and foundations
11. typed-holes-interaction - Interactive typed hole filling
12. typed-holes-llm - LLM-powered typed hole completion
13. typed-holes-semantics - Typed holes formal semantics

Formal Methods (10 skills)

1. z3-solver-basics - Z3 SMT solver, constraints, assertions
2. sat-solving-strategies - SAT solving, DPLL, CDCL
3. smt-theory-applications - SMT theories, bitvectors, arrays
4. lean-proof-basics - Lean 4 basics, tactics, terms
5. lean-tactics - Advanced Lean tactics and automation
6. lean-theorem-proving - Theorem proving patterns in Lean
7. lean-mathlib4 - Mathlib4 library usage
8. csp-modeling - Constraint satisfaction problems
9. constraint-propagation - Arc consistency, propagation
10. backtracking-search - Backtracking, branch and bound

Load Full Category Details

Read ../ebpf/INDEX.md Read ../ir/INDEX.md Read ../plt/INDEX.md Read ../formal/INDEX.md

Progressive Loading

• Level 1: This gateway loads automatically (~70 lines)
• Level 2: Load category INDEX.md for full skill listings
• Level 3: Load specific skills as needed