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ZX-Calculus:Trace-Indexed Dependent Types and Epistemic Semantics

Announce Type: new Abstract: We propose ZX-Calculus (Knowledge Evolution Calculus), a conservative extension of Martin-Lof Dependent Type Theory (MLTT) integrating trace-indexed types, presheaf non-monotone semantics, and constructive AGM belief revision. A Coq mechanisation accompanies the paper (34 complete proofs; zero admits for the two central results). FinTrace(s0,sn) is an inductive family of typed execution traces.

arXiv CS 7d ago