Titlebook: Logic, Language, Information, and Computation; 28th International W Agata Ciabattoni,Elaine Pimentel,Ruy J. G. B. de Q Conference proceedin

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,Combinatorial Flows as?Bicolored Atomic Flows,ess criterion that allows to reconstruct the derivation from the flow. In fact, combinatorial flows form a proof system in the sense of Cook and Reckhow. We show how to translate between open deduction derivations and combinatorial flows, and we show how they are related to combinatorial proofs with cuts.

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,Embedding Kozen-Tiuryn Logic into?Residuated One-Sorted Kleene Algebra with?Tests,lternative to Kleene algebra with tests that expands Kleene algebra with an operator that allows to construct a Boolean subalgebra of tests. In this paper we show that Kozen and Tiuryn’s logic embeds into the equational theory of the expansion of . with residuals of Kleene algebra multiplication and the upper adjoint of the codomain operator.

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