Titlebook: Automated Reasoning; 12th International J Christoph Benzmüller,Marijn J.H. Heule,Renate A. S Conference proceedings‘‘‘‘‘‘‘‘ 2024 The Editor

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A Proof Theory of?(,-)Context-Free Languages, via?Non-wellfounded Proofson of the resulting equational theory, complete for inclusions of context-free languages. Finally, we extend our syntax by greatest fixed points, now computing .-context-free languages. We show the soundness and completeness of the corresponding system using a mixture of proof-theoretic and game-theoretic techniques.

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Abraham Mendoza,José A. Venturae of an equivalent PCE definition for a given ID is undecidable, but we identify necessary conditions that are decidable. The algorithm has been implemented, and experimental results are reported on a benchmark, including significant examples from ..

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Uniform Substitution for?Differential Refinement Logicross the proof calculus. The uniform substitution rule can then be used to instantiate all axioms soundly. Access to differential variables in . enables more control over the notion of refinement, which is shown to be decidable on a fragment of hybrid programs.

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