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Add comprehensive academic proofs and formal verification#25

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hyperpolymath merged 1 commit intomainfrom
claude/academic-proofs-verification-AX1pY
Dec 31, 2025
Merged

Add comprehensive academic proofs and formal verification#25
hyperpolymath merged 1 commit intomainfrom
claude/academic-proofs-verification-AX1pY

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This commit adds extensive academic documentation covering all theoretical foundations required for rigorous academic scrutiny of the Oblibeny oblivious computing ecosystem.

Documentation includes:

Foundations:

  • Set-theoretic foundations and memory models
  • Type-theoretic security (information flow, linear types, effects)
  • Categorical semantics (monads, functors, natural transformations)
  • Probability theory (concentration bounds, negligible functions)
  • Algebra and number theory (groups, fields, lattices, elliptic curves)
  • Logic and proof theory (modal, temporal, separation logic)

Cryptography:

  • ORAM security proofs (Path ORAM, Circuit ORAM, recursive ORAM)
  • Encryption primitives (AES-GCM, PRFs, Merkle trees, commitments)

Formal Methods:

  • Formal verification (Hoare logic, refinement, model checking)
  • Program analysis (abstract interpretation, taint tracking)
  • Concurrency theory (linearizability, consensus, Byzantine FT)

Complexity and Information Theory:

  • Time/space/communication complexity with lower bounds
  • Information-theoretic leakage analysis
  • Statistical security methodology

Engineering:

  • RISC-V ISA extensions for oblivious computing
  • Protocol specifications (client-server, filesystem)

Also includes:

  • Technical white paper with complete system overview
  • Index with reading guides for different audiences
  • Consolidated TODO list with prioritized future work

Total: 19 AsciiDoc files covering all academic requirements

This commit adds extensive academic documentation covering all theoretical
foundations required for rigorous academic scrutiny of the Oblibeny
oblivious computing ecosystem.

Documentation includes:

Foundations:
- Set-theoretic foundations and memory models
- Type-theoretic security (information flow, linear types, effects)
- Categorical semantics (monads, functors, natural transformations)
- Probability theory (concentration bounds, negligible functions)
- Algebra and number theory (groups, fields, lattices, elliptic curves)
- Logic and proof theory (modal, temporal, separation logic)

Cryptography:
- ORAM security proofs (Path ORAM, Circuit ORAM, recursive ORAM)
- Encryption primitives (AES-GCM, PRFs, Merkle trees, commitments)

Formal Methods:
- Formal verification (Hoare logic, refinement, model checking)
- Program analysis (abstract interpretation, taint tracking)
- Concurrency theory (linearizability, consensus, Byzantine FT)

Complexity and Information Theory:
- Time/space/communication complexity with lower bounds
- Information-theoretic leakage analysis
- Statistical security methodology

Engineering:
- RISC-V ISA extensions for oblivious computing
- Protocol specifications (client-server, filesystem)

Also includes:
- Technical white paper with complete system overview
- Index with reading guides for different audiences
- Consolidated TODO list with prioritized future work

Total: 19 AsciiDoc files covering all academic requirements
@hyperpolymath hyperpolymath merged commit ed7478d into main Dec 31, 2025
3 of 5 checks passed
@hyperpolymath hyperpolymath deleted the claude/academic-proofs-verification-AX1pY branch December 31, 2025 13:16
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2 participants