Add comprehensive academic proofs and formal verification #2
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This commit adds complete academic documentation for Eclexia including: - WHITEPAPER.md: Introduction to Economics-as-Code paradigm - PROOFS.md: Mathematical foundations and correctness proofs - Type safety (progress & preservation) - Dimensional correctness - Resource safety - Economic optimality - Termination bounds - SPECIFICATION.md: Formal language specification with EBNF grammar - FORMAL_VERIFICATION.md: Coq/Lean/Agda formalization roadmap - Logical relations proofs - Step-indexed semantics - Separation logic for memory safety - Quantitative type theory - THEORY.md: Type theory and categorical semantics - Dependent resource types - Graded monads for effects - Domain-theoretic semantics - Game semantics - Session types for resources - ALGORITHMS.md: Complexity analysis and optimization algorithms - Solution selection (O(n·m)) - Shadow price computation (O(m³)) - Multi-objective optimization - Carbon-aware scheduling - Online algorithms with competitive analysis - BIBLIOGRAPHY.md: Comprehensive academic references Updated STATE.scm to reflect 75% completion with new documentation.
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This commit adds complete academic documentation for Eclexia including:
Updated STATE.scm to reflect 75% completion with new documentation.