Claude/add academic proofs g3z zu#3
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This commit adds exhaustive academic documentation covering the theoretical foundations of the Anvomidav DSL for figure skating choreography notation. ## Formal Specification - grammar.adoc: Complete EBNF grammar, lexical specification, parsing complexity - semantics.adoc: Operational, denotational, and axiomatic semantics - automata-theory.adoc: DFAs, PDAs, timed automata, tree automata ## Type Theory - type-system.adoc: Dependent types, refinement types, effect system, linear types - category-theory-foundations.adoc: CCCs, monads, adjunctions, fibred categories ## Domain Mathematics - rink-geometry.adoc: Coordinate systems, paths, collision detection, topology - temporal-specification.adoc: LTL, MTL, duration calculus, timed CSP - skating-physics.adoc: Mechanics, dynamics, biomechanics - numerical-analysis.adoc: Integration, error analysis, constraint handling ## Verification - rules-specification.adoc: Formal ISU rule encoding - verification-methodology.adoc: Theorem proving, model checking, runtime verification - abstract-interpretation.adoc: Abstract domains, Galois connections, static analysis - computational-complexity.adoc: Time/space bounds, decision problems, FPT ## Proofs - soundness-completeness.adoc: Type soundness, semantic correctness, compiler correctness ## White Papers - anvomidav-overview.adoc: Technical white paper summarizing the language Each document includes theorems, proofs (or proof sketches), definitions, and clearly marked TODO sections for areas requiring further development.
Comprehensive architecture document covering: - 14 crate workspace structure - Dependency graph between crates - Key Rust crate selections (logos, chumsky, z3, tower-lsp, etc.) - API sketches for each component - 6-phase development roadmap - Testing strategy (unit, property-based, snapshot, integration) - Error handling approach with miette
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