Titlebook: Automated Reasoning; 7th International Jo Stéphane Demri,Deepak Kapur,Christoph Weidenbach Conference proceedings 2014 Springer Internation

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Why is Global Surveillance Necessary?,mpleteness theorem for first-order logic established through a Gentzen system. The core of the proof establishes an abstract property of possibly infinite derivation trees, independently of the concrete syntax or inference rules. This separation of concerns simplifies the presentation. The abstract

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https://doi.org/10.1007/978-1-4615-0071-1uality reasoning. Classical reasoning is enabled by extending the system with rules for . and the axiom of choice. The resulting system is proved sound with respect to Church’s simple type theory. The soundness proof has been formalized in Agda. A theorem prover based on bottom-up search in the calc

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https://doi.org/10.1007/978-1-4419-9168-3ented the extraction of proofs for the original formula. Such proofs are required to independently validate correctness of the preprocessor’s rewritings and the solver’s result. Especially for universal expansion proof checking was not possible so far. In this paper, we introduce a unified proof sys

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Bifurcation from Infinity in Hilbert Spaces,sfiability procedures available for the component theories. This is the purpose of the combination method introduced by Nelson and Oppen. However, in its initial presentation, the Nelson-Oppen combination method requires the theories to be signature-disjoint and stably infinite (to guarantee the exi

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https://doi.org/10.1007/BFb0082943ning, like planning and diagnosis, and although the subject has been extensively studied (and still is) in propositional logic, very few have approached the problem in more expressive logics because of its intrinsic complexity. This paper presents one such approach for flat ground equational logic.

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