ZX-Calculus:Trace-Indexed Dependent Types and Epistemic Semantics
Researchers have introduced ZX-Calculus, an extension of Martin-Lof Dependent Type Theory, that integrates trace-indexed types, presheaf semantics, and belief revision. The calculus includes formal proofs for trace types, sheaf semantics, and AGM belief revision postulates, with a significant portion verified in Coq. A key finding is the failure of B^AGM to satisfy the sheaf composition law for sequential revision, highlighting a previously unrecognized tension between path-dependent belief revision and functor consistency. AI