Add formal verification of multiparty choreography types and projection#32
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Add formal verification of multiparty choreography types and projection#32
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…tted) Formalize multiparty choreography types and projection following Honda-Yoshida-Carbone (2008/2016 JACM) MPST theory. ChoreographyTypes.v (150 Qed): - Global choreography types with roles, message passing, binary choice, recursion - Local session types with send/recv/select/offer - Local type duality with involutive proof - Projection function: global -> local per role - Projection preserves duality at interaction points - Well-formedness (no self-interaction) - Network definitions and choreography deadlock freedom - Example choreographies (request-response, delegation, choice, recursive) ChoreographyProjection.v (100 Qed): - Mergeability condition for external choice branches - Projection determinism (unique by construction) - Operational semantics (GlobalStep, LocalStep) - Subject reduction: stepping preserves projection - Global progress: well-formed non-terminal types always step - Protocol fidelity and session fidelity (HYC properties) - Substitution properties for recursion - Merge compatibility for uninvolved roles https://claude.ai/code/session_01RBfTEumbZAeZ1TLTy2rUH9
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Summary
Adds comprehensive formal verification of multiparty session type (MPST) choreography theory following Honda-Yoshida-Carbone (2008/2016 JACM). Includes 250+ proven theorems covering global choreography types, local session types, projection, duality, well-formedness, and communication safety properties.
Changes
ChoreographyTypes.v (1120 lines, 150+ theorems): Formalizes core MPST theory
ChoreographyProjection.v (872 lines, 100+ theorems): Formalizes projection correctness
_CoqProject: Register new proof files in build system
Type
Testing
makein02_FORMAL/coq/)AdmittedstatementsChecklist
Admittedin Coq proofshttps://claude.ai/code/session_01RBfTEumbZAeZ1TLTy2rUH9