Titlebook: Automated Reasoning; 10th International J Nicolas Peltier,Viorica Sofronie-Stokkermans Conference proceedings 2020 Springer Nature Switzerl

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Combined Covers and Beth Definabilitynted out in the literature. A successive parallel research line inside the automated reasoning community investigated uniform quantifier-free interpolants (sometimes referred to as “covers”) in first-order theories. In this paper, we investigate cover transfer to theory combinations in the disjoint

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A Knuth-Bendix-Like Ordering for Orienting Combinator Equationse resultant ordering is highly suited to parameterising the first-order superposition calculus when dealing with the theory of higher-order logic, as it prevents inferences between the combinator axioms. We prove a number of desirable properties about the ordering including it having the subterm pro

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The Resolution of Keller’s Conjecturesult implies that every unit cube tiling of . contains a facesharing pair of cubes. Since a faceshare-free unit cube tiling of . exists (which we also verify), this completely resolves Keller’s conjecture.

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How QBF Expansion Makes Strategy Extraction Hardtraction, we find this is conditional on a property studied in proof complexity theory. We show that strategy extraction on expansion based systems can only happen when the underlying propositional calculus has the property of feasible interpolation.