# Computer Science: Skills and Agents Backlog

This document catalogs specialized skills and agents that could enhance the processes in the Computer Science (Theoretical) specialization beyond general-purpose capabilities.

## Overview

**Specialization:** computer-science
**Phase:** 4 - Skills and Agents Identification
**Total Processes:** 25
**Categories:** Algorithm Design and Analysis, Complexity Theory and Computability, Programming Language Theory, Systems Research and Design, Formal Methods and Verification, Research Methodology

---

## Specialized Skills

### 1. Algorithm Analysis Skills

#### SK-CS-001: asymptotic-notation-calculator
- **Type:** Skill
- **Purpose:** Automated derivation and simplification of Big-O, Big-Omega, and Big-Theta expressions
- **Capabilities:**
  - Parse and simplify asymptotic expressions
  - Compare complexity classes
  - Identify dominant terms
  - Handle logarithmic, polynomial, and exponential factors
  - Generate LaTeX-formatted notation
- **Enhances Processes:** algorithm-complexity-analysis, algorithm-correctness-proof, complexity-lower-bound-proof
- **Priority:** High
- **Integration:** Symbolic computation, mathematical notation rendering

#### SK-CS-002: recurrence-solver
- **Type:** Skill
- **Purpose:** Solve recurrence relations using multiple methods
- **Capabilities:**
  - Apply Master Theorem (all three cases)
  - Substitution method with guess verification
  - Recursion tree analysis with visualization
  - Generating functions for complex recurrences
  - Akra-Bazzi method for generalized recurrences
- **Enhances Processes:** algorithm-complexity-analysis, randomized-algorithm-analysis
- **Priority:** High
- **Integration:** Symbolic algebra system, visualization

#### SK-CS-003: loop-invariant-generator
- **Type:** Skill
- **Purpose:** Automatically generate and verify loop invariants for algorithm proofs
- **Capabilities:**
  - Infer candidate loop invariants from code structure
  - Verify initialization, maintenance, and termination conditions
  - Generate formal proof templates
  - Handle nested loops and complex data structures
  - Export to theorem provers (Dafny, Why3)
- **Enhances Processes:** algorithm-correctness-proof, abstract-interpretation-analysis
- **Priority:** High
- **Integration:** Static analysis, SMT solvers

#### SK-CS-004: termination-analyzer
- **Type:** Skill
- **Purpose:** Prove termination of algorithms and programs
- **Capabilities:**
  - Identify ranking/variant functions automatically
  - Prove well-founded orderings
  - Handle mutual recursion
  - Detect potential non-termination
  - Generate termination certificates
- **Enhances Processes:** algorithm-correctness-proof, decidability-analysis
- **Priority:** Medium
- **Integration:** Termination provers (AProVE, T2)

#### SK-CS-005: amortized-analysis-assistant
- **Type:** Skill
- **Purpose:** Apply amortized analysis techniques to operation sequences
- **Capabilities:**
  - Aggregate method calculations
  - Accounting method with credit tracking
  - Potential function design and verification
  - Banker's method for persistent data structures
  - Generate amortized bounds documentation
- **Enhances Processes:** algorithm-complexity-analysis, concurrent-data-structure-design
- **Priority:** Medium
- **Integration:** Symbolic computation

---

### 2. Complexity Theory Skills

#### SK-CS-006: reduction-builder
- **Type:** Skill
- **Purpose:** Construct and verify polynomial-time reductions between problems
- **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
- **Enhances Processes:** np-completeness-proof, computational-problem-classification, complexity-lower-bound-proof
- **Priority:** High
- **Integration:** Graph visualization, formal verification

#### SK-CS-007: complexity-class-oracle
- **Type:** Skill
- **Purpose:** Classify problems into complexity classes with supporting evidence
- **Capabilities:**
  - Determine membership in P, NP, co-NP, PSPACE, EXPTIME
  - Identify complete problems for each class
  - Query known complexity results database
  - Suggest proof strategies for classification
  - Generate complexity landscape diagrams
- **Enhances Processes:** computational-problem-classification, np-completeness-proof, decidability-analysis
- **Priority:** High
- **Integration:** Complexity zoo database, diagram generation

#### SK-CS-008: turing-machine-simulator
- **Type:** Skill
- **Purpose:** Simulate Turing machines and analyze computability
- **Capabilities:**
  - Multi-tape TM simulation
  - Non-deterministic TM simulation
  - Step-by-step execution with tape visualization
  - Halting detection with timeout
  - Generate computation traces
- **Enhances Processes:** decidability-analysis, computational-problem-classification
- **Priority:** Medium
- **Integration:** TM specification languages, visualization

#### SK-CS-009: approximation-ratio-calculator
- **Type:** Skill
- **Purpose:** Analyze and prove approximation ratios for optimization algorithms
- **Capabilities:**
  - LP relaxation analysis
  - Integrality gap computation
  - Randomized rounding analysis
  - Approximation factor derivation
  - PTAS/FPTAS feasibility assessment
- **Enhances Processes:** approximation-algorithm-design, algorithm-complexity-analysis
- **Priority:** Medium
- **Integration:** LP/ILP solvers, symbolic computation

#### SK-CS-010: probabilistic-analysis-toolkit
- **Type:** Skill
- **Purpose:** Analyze randomized algorithms with probability theory tools
- **Capabilities:**
  - Expected value calculations
  - Chernoff and Hoeffding bound applications
  - Markov and Chebyshev inequality analysis
  - Moment generating function analysis
  - Concentration inequality selection
- **Enhances Processes:** randomized-algorithm-analysis, approximation-algorithm-design
- **Priority:** Medium
- **Integration:** Symbolic probability, statistical libraries

---

### 3. Programming Language Theory Skills

#### SK-CS-011: typing-rule-generator
- **Type:** Skill
- **Purpose:** Generate and format typing rules in inference rule notation
- **Capabilities:**
  - LaTeX inference rule generation
  - Syntax-directed rule derivation
  - Typing derivation tree construction
  - Rule dependency analysis
  - Export to Ott/LNGen format
- **Enhances Processes:** type-system-design, operational-semantics-specification
- **Priority:** High
- **Integration:** LaTeX, Ott specification language

#### SK-CS-012: type-inference-engine
- **Type:** Skill
- **Purpose:** Implement and test type inference algorithms
- **Capabilities:**
  - Algorithm W implementation
  - Constraint generation and solving
  - Unification with occurs check
  - Let-polymorphism (Hindley-Milner)
  - Principal type computation
- **Enhances Processes:** type-system-design, dsl-design-implementation
- **Priority:** High
- **Integration:** Language workbenches, constraint solvers

#### SK-CS-013: soundness-proof-assistant
- **Type:** Skill
- **Purpose:** Assist in constructing type soundness proofs
- **Capabilities:**
  - Progress theorem proof templates
  - Preservation theorem proof templates
  - Substitution lemma generation
  - Canonical forms lemma derivation
  - Proof case enumeration
- **Enhances Processes:** type-system-design, operational-semantics-specification
- **Priority:** High
- **Integration:** Proof assistants (Coq, Agda)

#### SK-CS-014: operational-semantics-builder
- **Type:** Skill
- **Purpose:** Define and test operational semantics specifications
- **Capabilities:**
  - Small-step semantics rule generation
  - Big-step semantics rule generation
  - Evaluation context definition
  - Substitution and binding handling
  - Semantics execution/testing
- **Enhances Processes:** operational-semantics-specification, type-system-design
- **Priority:** Medium
- **Integration:** PLT Redex, K Framework

#### SK-CS-015: dsl-compiler-generator
- **Type:** Skill
- **Purpose:** Generate compilers and interpreters for domain-specific languages
- **Capabilities:**
  - Parser generation from grammar
  - Type checker generation from rules
  - Interpreter generation from semantics
  - Code generation templates
  - Language workbench integration
- **Enhances Processes:** dsl-design-implementation, compiler-optimization-design
- **Priority:** Medium
- **Integration:** ANTLR, Xtext, Racket

---

### 4. Compiler and Optimization Skills

#### SK-CS-016: data-flow-analysis-framework
- **Type:** Skill
- **Purpose:** Design and implement data-flow analyses for compilers
- **Capabilities:**
  - Forward/backward analysis specification
  - Lattice definition and verification
  - Transfer function generation
  - Fixpoint computation (worklist algorithm)
  - Analysis soundness verification
- **Enhances Processes:** compiler-optimization-design, abstract-interpretation-analysis
- **Priority:** High
- **Integration:** LLVM, GCC internals

#### SK-CS-017: ssa-transformation-library
- **Type:** Skill
- **Purpose:** SSA-form transformations and optimizations
- **Capabilities:**
  - SSA construction (dominance-based)
  - Phi node insertion and elimination
  - SSA-based optimization templates
  - Dominance tree computation
  - Use-def chain analysis
- **Enhances Processes:** compiler-optimization-design
- **Priority:** Medium
- **Integration:** LLVM IR, SSA libraries

#### SK-CS-018: optimization-correctness-verifier
- **Type:** Skill
- **Purpose:** Verify correctness of compiler optimizations
- **Capabilities:**
  - Semantic preservation checking
  - Alive2-style verification
  - Bisimulation proof construction
  - Counterexample generation
  - Optimization refinement suggestions
- **Enhances Processes:** compiler-optimization-design
- **Priority:** Medium
- **Integration:** Alive2, CompCert, SMT solvers

---

### 5. Distributed Systems Skills

#### SK-CS-019: tla-plus-generator
- **Type:** Skill
- **Purpose:** Generate and analyze TLA+ specifications for distributed systems
- **Capabilities:**
  - TLA+ module generation from protocol description
  - Invariant and temporal property specification
  - State space exploration configuration
  - PlusCal to TLA+ translation
  - Model checking execution
- **Enhances Processes:** distributed-consensus-protocol-design, model-checking-verification, formal-specification-development
- **Priority:** High
- **Integration:** TLA+ Toolbox, TLC model checker

#### SK-CS-020: consensus-protocol-library
- **Type:** Skill
- **Purpose:** Reference implementations and specifications of consensus protocols
- **Capabilities:**
  - Paxos, Raft, PBFT specifications
  - Protocol comparison matrix
  - Safety/liveness property templates
  - Message complexity analysis
  - Protocol variant catalog
- **Enhances Processes:** distributed-consensus-protocol-design
- **Priority:** High
- **Integration:** TLA+ specifications, reference implementations

#### SK-CS-021: linearizability-checker
- **Type:** Skill
- **Purpose:** Check linearizability of concurrent data structure implementations
- **Capabilities:**
  - History linearization algorithms
  - Linearization point identification
  - Counterexample generation for violations
  - Concurrent history visualization
  - Linearizability proof templates
- **Enhances Processes:** concurrent-data-structure-design, distributed-consensus-protocol-design
- **Priority:** Medium
- **Integration:** LineUp, Wing-Gong algorithm

#### SK-CS-022: memory-model-analyzer
- **Type:** Skill
- **Purpose:** Analyze programs under various memory models
- **Capabilities:**
  - Sequential consistency checking
  - Total Store Order (TSO) analysis
  - C/C++ memory model compliance
  - Memory barrier insertion guidance
  - Race condition detection
- **Enhances Processes:** concurrent-data-structure-design, cache-optimization-analysis
- **Priority:** Medium
- **Integration:** CDSChecker, GenMC

---

### 6. Formal Verification Skills

#### SK-CS-023: model-checker-interface
- **Type:** Skill
- **Purpose:** Interface with multiple model checking tools
- **Capabilities:**
  - SPIN/Promela specification generation
  - NuSMV/NuXMV interface
  - UPPAAL for timed systems
  - Result parsing and visualization
  - Counterexample trace analysis
- **Enhances Processes:** model-checking-verification, distributed-consensus-protocol-design
- **Priority:** High
- **Integration:** SPIN, NuSMV, UPPAAL

#### SK-CS-024: theorem-prover-interface
- **Type:** Skill
- **Purpose:** Interface with interactive theorem provers
- **Capabilities:**
  - Coq proof script generation
  - Isabelle/HOL interface
  - Lean 4 integration
  - Proof automation (hammers, tactics)
  - Proof library search
- **Enhances Processes:** theorem-prover-verification, algorithm-correctness-proof
- **Priority:** High
- **Integration:** Coq, Isabelle, Lean

#### SK-CS-025: smt-solver-interface
- **Type:** Skill
- **Purpose:** Interface with SMT solvers for verification and synthesis
- **Capabilities:**
  - Z3 query generation
  - CVC5 interface
  - Theory selection guidance
  - Model extraction
  - Unsat core analysis
- **Enhances Processes:** model-checking-verification, abstract-interpretation-analysis, program-synthesis-specification
- **Priority:** High
- **Integration:** Z3, CVC5, Boolector

#### SK-CS-026: abstract-domain-library
- **Type:** Skill
- **Purpose:** Library of abstract domains for static analysis
- **Capabilities:**
  - Interval domain
  - Octagon domain
  - Polyhedra domain
  - Congruence domain
  - Domain combination (reduced product)
- **Enhances Processes:** abstract-interpretation-analysis
- **Priority:** Medium
- **Integration:** Apron, ELINA

#### SK-CS-027: temporal-logic-translator
- **Type:** Skill
- **Purpose:** Translate between temporal logic formalisms
- **Capabilities:**
  - LTL to Buchi automata
  - CTL to CTL* comparison
  - Natural language to temporal logic
  - Property pattern templates
  - Formula equivalence checking
- **Enhances Processes:** model-checking-verification, formal-specification-development
- **Priority:** Medium
- **Integration:** Spot, GOAL

---

### 7. Research and Documentation Skills

#### SK-CS-028: latex-proof-formatter
- **Type:** Skill
- **Purpose:** Format proofs and algorithms in publication-quality LaTeX
- **Capabilities:**
  - Algorithm pseudocode formatting (algorithmicx)
  - Inference rule typesetting
  - Proof environment formatting
  - Theorem numbering and cross-references
  - BibTeX integration
- **Enhances Processes:** theoretical-cs-paper-development, all documentation tasks
- **Priority:** High
- **Integration:** LaTeX, Overleaf

#### SK-CS-029: benchmark-suite-manager
- **Type:** Skill
- **Purpose:** Manage benchmarks for algorithm engineering experiments
- **Capabilities:**
  - Standard benchmark suite access (DIMACS, TSPLIB, etc.)
  - Instance generation for specific problem classes
  - Statistical analysis of results
  - Performance comparison tables
  - Visualization of scaling behavior
- **Enhances Processes:** algorithm-engineering-evaluation, system-performance-modeling
- **Priority:** Medium
- **Integration:** Benchmark repositories, statistical tools

#### SK-CS-030: related-work-analyzer
- **Type:** Skill
- **Purpose:** Analyze and organize related work for theoretical CS papers
- **Capabilities:**
  - Citation network analysis
  - Technique categorization
  - Result comparison tables
  - Gap identification
  - Timeline visualization
- **Enhances Processes:** theoretical-cs-paper-development, cross-area-cs-integration
- **Priority:** Medium
- **Integration:** Semantic Scholar, DBLP

---

### 8. Program Synthesis Skills

#### SK-CS-031: synthesis-specification-language
- **Type:** Skill
- **Purpose:** Define specifications for program synthesis
- **Capabilities:**
  - Input-output example specification
  - Logical specification (pre/post conditions)
  - Sketch-based specification
  - Natural language to specification
  - Specification validation
- **Enhances Processes:** program-synthesis-specification
- **Priority:** Medium
- **Integration:** SyGuS format, Sketch

#### SK-CS-032: counterexample-guided-refinement
- **Type:** Skill
- **Purpose:** Implement CEGAR for synthesis and verification
- **Capabilities:**
  - Counterexample analysis
  - Predicate abstraction refinement
  - Interpolation-based refinement
  - Abstraction refinement loop management
  - Convergence analysis
- **Enhances Processes:** program-synthesis-specification, abstract-interpretation-analysis, model-checking-verification
- **Priority:** Medium
- **Integration:** CPAChecker, SeaHorn

---

## Specialized Agents (Subagents)

### 1. Algorithm Theory Agents

#### AG-CS-001: complexity-theorist
- **Type:** Agent
- **Role:** Expert in computational complexity theory
- **Capabilities:**
  - Complexity classification reasoning
  - Reduction construction guidance
  - Lower bound proof techniques
  - Complexity class relationships
  - Open problem awareness (P vs NP, etc.)
- **Persona:** Theoretical computer scientist with expertise in complexity theory (Arora/Barak level)
- **Enhances Processes:** computational-problem-classification, np-completeness-proof, complexity-lower-bound-proof, decidability-analysis
- **Priority:** High

#### AG-CS-002: algorithm-analyst
- **Type:** Agent
- **Role:** Expert in algorithm analysis and design
- **Capabilities:**
  - Asymptotic analysis reasoning
  - Recurrence relation solving
  - Algorithm design paradigm selection
  - Correctness proof construction
  - Tight bound establishment
- **Persona:** Algorithms researcher with CLRS mastery and research publication experience
- **Enhances Processes:** algorithm-complexity-analysis, algorithm-correctness-proof, algorithm-design-paradigm-selection
- **Priority:** High

#### AG-CS-003: approximation-specialist
- **Type:** Agent
- **Role:** Expert in approximation algorithms
- **Capabilities:**
  - Approximation algorithm design
  - LP relaxation and rounding
  - Inapproximability reasoning
  - PTAS construction
  - Primal-dual method application
- **Persona:** Approximation algorithms researcher with Williamson/Shmoys expertise
- **Enhances Processes:** approximation-algorithm-design, algorithm-design-paradigm-selection
- **Priority:** Medium

#### AG-CS-004: randomized-algorithms-expert
- **Type:** Agent
- **Role:** Expert in randomized and probabilistic algorithms
- **Capabilities:**
  - Las Vegas vs Monte Carlo analysis
  - Probability bound derivation
  - Derandomization techniques
  - Randomized data structures
  - Probabilistic method application
- **Persona:** Randomized algorithms specialist with Motwani/Raghavan expertise
- **Enhances Processes:** randomized-algorithm-analysis, algorithm-design-paradigm-selection
- **Priority:** Medium

---

### 2. Programming Language Theory Agents

#### AG-CS-005: type-theorist
- **Type:** Agent
- **Role:** Expert in type theory and programming language design
- **Capabilities:**
  - Type system design reasoning
  - Typing rule formulation
  - Soundness proof guidance
  - Type inference algorithm design
  - Advanced type features (dependent types, linear types)
- **Persona:** PL researcher with Pierce TAPL expertise and type theory background
- **Enhances Processes:** type-system-design, operational-semantics-specification, dsl-design-implementation
- **Priority:** High

#### AG-CS-006: compiler-architect
- **Type:** Agent
- **Role:** Expert in compiler design and optimization
- **Capabilities:**
  - Optimization design and correctness
  - Data-flow analysis specification
  - SSA-based transformations
  - Register allocation strategies
  - Optimization phase ordering
- **Persona:** Compiler engineer with Dragon Book and LLVM expertise
- **Enhances Processes:** compiler-optimization-design, dsl-design-implementation
- **Priority:** High

#### AG-CS-007: semantics-specialist
- **Type:** Agent
- **Role:** Expert in programming language semantics
- **Capabilities:**
  - Operational semantics formulation
  - Denotational semantics
  - Axiomatic semantics (Hoare logic)
  - Semantic property proofs
  - Language equivalence reasoning
- **Persona:** PL semantics researcher with formal methods background
- **Enhances Processes:** operational-semantics-specification, type-system-design
- **Priority:** Medium

---

### 3. Formal Verification Agents

#### AG-CS-008: model-checking-expert
- **Type:** Agent
- **Role:** Expert in model checking and temporal logic
- **Capabilities:**
  - Model construction guidance
  - Temporal property specification
  - State space explosion mitigation
  - Counterexample interpretation
  - Abstraction refinement
- **Persona:** Formal verification researcher with Baier/Katoen expertise
- **Enhances Processes:** model-checking-verification, formal-specification-development
- **Priority:** High

#### AG-CS-009: theorem-proving-expert
- **Type:** Agent
- **Role:** Expert in interactive theorem proving
- **Capabilities:**
  - Proof strategy development
  - Tactic selection and automation
  - Formalization guidance
  - Proof refactoring
  - Extraction planning
- **Persona:** Proof assistant expert with Coq/Isabelle/Lean experience
- **Enhances Processes:** theorem-prover-verification, algorithm-correctness-proof
- **Priority:** High

#### AG-CS-010: static-analysis-expert
- **Type:** Agent
- **Role:** Expert in abstract interpretation and static analysis
- **Capabilities:**
  - Abstract domain design
  - Galois connection verification
  - Transfer function specification
  - Widening/narrowing strategies
  - Analysis precision tuning
- **Persona:** Static analysis researcher with Cousot expertise
- **Enhances Processes:** abstract-interpretation-analysis, compiler-optimization-design
- **Priority:** Medium

#### AG-CS-011: synthesis-specialist
- **Type:** Agent
- **Role:** Expert in program synthesis
- **Capabilities:**
  - Specification formulation
  - Search space design
  - Synthesis algorithm selection
  - Synthesized code verification
  - Specification debugging
- **Persona:** Program synthesis researcher with SyGuS competition experience
- **Enhances Processes:** program-synthesis-specification
- **Priority:** Medium

---

### 4. Distributed Systems Agents

#### AG-CS-012: distributed-systems-theorist
- **Type:** Agent
- **Role:** Expert in distributed systems theory
- **Capabilities:**
  - Consensus protocol design
  - Safety and liveness reasoning
  - FLP impossibility implications
  - CAP theorem analysis
  - Consistency model reasoning
- **Persona:** Distributed systems theorist with Lamport-level expertise
- **Enhances Processes:** distributed-consensus-protocol-design, formal-specification-development
- **Priority:** High

#### AG-CS-013: concurrency-expert
- **Type:** Agent
- **Role:** Expert in concurrent data structures and algorithms
- **Capabilities:**
  - Lock-free algorithm design
  - Linearizability proof construction
  - Progress guarantee analysis
  - Memory ordering reasoning
  - ABA problem handling
- **Persona:** Concurrency researcher with Art of Multiprocessor Programming expertise
- **Enhances Processes:** concurrent-data-structure-design
- **Priority:** High

#### AG-CS-014: performance-modeler
- **Type:** Agent
- **Role:** Expert in system performance modeling
- **Capabilities:**
  - Queuing theory application
  - Markov chain modeling
  - Bottleneck analysis
  - Capacity planning
  - Cache behavior analysis
- **Persona:** Systems performance analyst with quantitative modeling expertise
- **Enhances Processes:** system-performance-modeling, cache-optimization-analysis
- **Priority:** Medium

---

### 5. Research Methodology Agents

#### AG-CS-015: theory-paper-author
- **Type:** Agent
- **Role:** Expert in theoretical CS paper writing
- **Capabilities:**
  - Problem formulation
  - Proof presentation structuring
  - Related work positioning
  - Contribution articulation
  - Technical writing review
- **Persona:** Prolific theoretical CS author with top venue publications
- **Enhances Processes:** theoretical-cs-paper-development
- **Priority:** High

#### AG-CS-016: algorithm-engineer
- **Type:** Agent
- **Role:** Expert in algorithm engineering and experimental evaluation
- **Capabilities:**
  - Benchmark design
  - Implementation optimization
  - Statistical analysis of results
  - Reproducibility practices
  - Theory-practice gap analysis
- **Persona:** Algorithm engineering researcher with ESA-style experimental methodology
- **Enhances Processes:** algorithm-engineering-evaluation, system-performance-modeling
- **Priority:** Medium

#### AG-CS-017: interdisciplinary-connector
- **Type:** Agent
- **Role:** Expert in cross-area CS research connections
- **Capabilities:**
  - Technique transfer identification
  - Cross-area literature awareness
  - Interdisciplinary problem formulation
  - Collaboration opportunity identification
  - Method adaptation guidance
- **Persona:** Interdisciplinary CS researcher with broad theoretical foundations
- **Enhances Processes:** cross-area-cs-integration
- **Priority:** Medium

---

### 6. Computability and Logic Agents

#### AG-CS-018: computability-theorist
- **Type:** Agent
- **Role:** Expert in computability theory and recursive function theory
- **Capabilities:**
  - Decidability proofs
  - Undecidability reductions
  - Rice's theorem application
  - Arithmetic hierarchy placement
  - Degrees of unsolvability reasoning
- **Persona:** Computability theorist with Sipser/Hopcroft expertise
- **Enhances Processes:** decidability-analysis, computational-problem-classification
- **Priority:** Medium

#### AG-CS-019: formal-specification-expert
- **Type:** Agent
- **Role:** Expert in formal specification languages and methods
- **Capabilities:**
  - TLA+ specification
  - Z notation
  - Alloy modeling
  - Specification validation
  - Refinement mapping
- **Persona:** Formal methods expert with industrial specification experience
- **Enhances Processes:** formal-specification-development, distributed-consensus-protocol-design
- **Priority:** Medium

---

## Shared/Cross-Cutting Candidates

These skills and agents could be shared with other specializations:

### Shared Skills

| ID | Skill | Potential Shared Specializations |
|----|-------|----------------------------------|
| SK-CS-003 | loop-invariant-generator | qa-testing-automation, software-architecture |
| SK-CS-006 | reduction-builder | algorithms-optimization, security-research |
| SK-CS-016 | data-flow-analysis-framework | security-research, software-architecture |
| SK-CS-019 | tla-plus-generator | devops-sre-platform, software-architecture |
| SK-CS-023 | model-checker-interface | security-research, software-architecture |
| SK-CS-025 | smt-solver-interface | algorithms-optimization, security-research |
| SK-CS-028 | latex-proof-formatter | technical-documentation, algorithms-optimization |
| SK-CS-029 | benchmark-suite-manager | algorithms-optimization, performance-optimization |

### Shared Agents

| ID | Agent | Potential Shared Specializations |
|----|-------|----------------------------------|
| AG-CS-002 | algorithm-analyst | algorithms-optimization |
| AG-CS-006 | compiler-architect | programming-languages |
| AG-CS-008 | model-checking-expert | security-research, software-architecture |
| AG-CS-013 | concurrency-expert | performance-optimization, systems programming |
| AG-CS-014 | performance-modeler | devops-sre-platform, performance-optimization |
| AG-CS-015 | theory-paper-author | technical-documentation |

---

## Summary Statistics

| Category | Count |
|----------|-------|
| **Total Skills** | 32 |
| **Total Agents** | 19 |
| **Shared Candidates (Skills)** | 8 |
| **Shared Candidates (Agents)** | 6 |
| **High Priority Skills** | 14 |
| **High Priority Agents** | 9 |
| **Medium Priority Skills** | 18 |
| **Medium Priority Agents** | 10 |
| **Low Priority Skills** | 0 |
| **Low Priority Agents** | 0 |

---

## Process-to-Skills/Agents Mapping

### Algorithm Design and Analysis
| Process | Recommended Skills | Recommended Agents | Status |
|---------|-------------------|-------------------|--------|
| algorithm-complexity-analysis | SK-CS-001, SK-CS-002, SK-CS-005 | AG-CS-002 | [x] Integrated |
| algorithm-correctness-proof | SK-CS-003, SK-CS-004, SK-CS-024 | AG-CS-002, AG-CS-009 | [x] Integrated |
| algorithm-design-paradigm-selection | SK-CS-001, SK-CS-009, SK-CS-010 | AG-CS-002, AG-CS-003, AG-CS-004 | [x] Integrated |
| approximation-algorithm-design | SK-CS-009, SK-CS-010, SK-CS-006 | AG-CS-003 | [x] Integrated |
| randomized-algorithm-analysis | SK-CS-002, SK-CS-010 | AG-CS-004 | [x] Integrated |

### Complexity Theory and Computability
| Process | Recommended Skills | Recommended Agents | Status |
|---------|-------------------|-------------------|--------|
| computational-problem-classification | SK-CS-006, SK-CS-007 | AG-CS-001, AG-CS-018 | [x] Integrated |
| np-completeness-proof | SK-CS-006, SK-CS-007 | AG-CS-001 | [x] Integrated |
| decidability-analysis | SK-CS-004, SK-CS-007, SK-CS-008 | AG-CS-001, AG-CS-018 | [x] Integrated |

### Programming Language Theory
| Process | Recommended Skills | Recommended Agents | Status |
|---------|-------------------|-------------------|--------|
| type-system-design | SK-CS-011, SK-CS-012, SK-CS-013 | AG-CS-005, AG-CS-007 | [x] Integrated |
| operational-semantics-specification | SK-CS-011, SK-CS-014 | AG-CS-005, AG-CS-007 | [x] Integrated |
| compiler-optimization-design | SK-CS-016, SK-CS-017, SK-CS-018 | AG-CS-006, AG-CS-010 | [x] Integrated |
| dsl-design-implementation | SK-CS-011, SK-CS-012, SK-CS-015 | AG-CS-005, AG-CS-006 | [x] Integrated |

### Systems Research and Design
| Process | Recommended Skills | Recommended Agents | Status |
|---------|-------------------|-------------------|--------|
| distributed-consensus-protocol-design | SK-CS-019, SK-CS-020, SK-CS-021 | AG-CS-012, AG-CS-019 | [x] Integrated |
| cache-optimization-analysis | SK-CS-022, SK-CS-029 | AG-CS-014 | [x] Integrated |
| concurrent-data-structure-design | SK-CS-005, SK-CS-021, SK-CS-022 | AG-CS-013 | [x] Integrated |
| system-performance-modeling | SK-CS-029 | AG-CS-014, AG-CS-016 | [x] Integrated |

### Formal Methods and Verification
| Process | Recommended Skills | Recommended Agents | Status |
|---------|-------------------|-------------------|--------|
| model-checking-verification | SK-CS-019, SK-CS-023, SK-CS-027 | AG-CS-008 | [x] Integrated |
| theorem-prover-verification | SK-CS-024, SK-CS-028 | AG-CS-009 | [x] Integrated |
| abstract-interpretation-analysis | SK-CS-003, SK-CS-016, SK-CS-026, SK-CS-032 | AG-CS-010 | [x] Integrated |
| program-synthesis-specification | SK-CS-025, SK-CS-031, SK-CS-032 | AG-CS-011 | [x] Integrated |

### Research Methodology
| Process | Recommended Skills | Recommended Agents | Status |
|---------|-------------------|-------------------|--------|
| theoretical-cs-paper-development | SK-CS-028, SK-CS-030 | AG-CS-015 | [x] Integrated |
| algorithm-engineering-evaluation | SK-CS-029 | AG-CS-016 | [x] Integrated |
| complexity-lower-bound-proof | SK-CS-001, SK-CS-006, SK-CS-007 | AG-CS-001 | [x] Integrated |
| formal-specification-development | SK-CS-019, SK-CS-023, SK-CS-027 | AG-CS-019, AG-CS-012 | [x] Integrated |
| cross-area-cs-integration | SK-CS-030 | AG-CS-017 | [x] Integrated |

---

## Implementation Priority

### Phase 1 (High Priority - Core Theory)
1. SK-CS-001: asymptotic-notation-calculator
2. SK-CS-002: recurrence-solver
3. SK-CS-003: loop-invariant-generator
4. SK-CS-006: reduction-builder
5. SK-CS-007: complexity-class-oracle
6. SK-CS-011: typing-rule-generator
7. SK-CS-019: tla-plus-generator
8. SK-CS-024: theorem-prover-interface
9. AG-CS-001: complexity-theorist
10. AG-CS-002: algorithm-analyst
11. AG-CS-005: type-theorist
12. AG-CS-008: model-checking-expert
13. AG-CS-012: distributed-systems-theorist

### Phase 2 (Medium Priority - Specialized Topics)
1. SK-CS-012: type-inference-engine
2. SK-CS-013: soundness-proof-assistant
3. SK-CS-016: data-flow-analysis-framework
4. SK-CS-020: consensus-protocol-library
5. SK-CS-023: model-checker-interface
6. SK-CS-025: smt-solver-interface
7. SK-CS-028: latex-proof-formatter
8. AG-CS-006: compiler-architect
9. AG-CS-009: theorem-proving-expert
10. AG-CS-013: concurrency-expert
11. AG-CS-015: theory-paper-author

### Phase 3 (Lower Priority - Advanced Research)
1. SK-CS-009: approximation-ratio-calculator
2. SK-CS-010: probabilistic-analysis-toolkit
3. SK-CS-021: linearizability-checker
4. SK-CS-026: abstract-domain-library
5. SK-CS-031: synthesis-specification-language
6. AG-CS-003: approximation-specialist
7. AG-CS-010: static-analysis-expert
8. AG-CS-011: synthesis-specialist
9. AG-CS-016: algorithm-engineer
10. AG-CS-017: interdisciplinary-connector

---

## Tool and Integration Requirements

### Theorem Provers
- Coq (proofs, extraction)
- Isabelle/HOL (verification)
- Lean 4 (modern type theory)
- Agda (dependent types)

### Model Checkers
- SPIN/Promela (concurrent systems)
- NuSMV (symbolic model checking)
- TLA+ Toolbox (distributed systems)
- UPPAAL (timed automata)

### SMT Solvers
- Z3 (general purpose)
- CVC5 (theories)
- Boolector (bitvectors)

### Language Workbenches
- Racket (language-oriented programming)
- Xtext (DSL development)
- PLT Redex (semantics modeling)
- K Framework (language specification)

### Benchmarks and Databases
- DIMACS (satisfiability)
- TSPLIB (optimization)
- Complexity Zoo (complexity classes)
- DBLP (citation analysis)

---

## Next Steps

1. **Validate** this backlog with theoretical CS researchers and practitioners
2. **Prioritize** based on process usage frequency and research impact
3. **Prototype** high-priority skills (recurrence-solver, reduction-builder, tla-plus-generator)
4. **Implement** core agents (complexity-theorist, algorithm-analyst, type-theorist)
5. **Integrate** skills into existing process definitions
6. **Test** with real theoretical CS research workflows
7. **Iterate** based on researcher feedback and proof success rates
