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Weighted GKAT: Completeness and Complexity

Published 29 Apr 2025 in cs.LO, cs.FL, and cs.PL | (2504.20385v1)

Abstract: We propose Weighted Guarded Kleene Algebra with Tests (wGKAT), an uninterpreted weighted programming language equipped with branching, conditionals, and loops. We provide an operational semantics for wGKAT using a variant of weighted automata and introduce a sound and complete axiomatization. We also provide a polynomial time decision procedure for bisimulation equivalence.

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