Titlebook: Computational Logic; Ulrich Berger,Helmut Schwichtenberg Conference proceedings 1999 Springer-Verlag Berlin Heidelberg 1999 Complexity the

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Computers, Reasoning and Mathematical Practice,th autonomous vehicle guidance and the chess program Deep Blue, as one of the five most significant achievements of artificial intelligence [114]. Yet it is still the case that few mathematicians use such programs, and their impact outside certain specialised communities has been less than might have been hoped.

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Notes on the Simply Typed Lambda Calculus,types.The calculus can be viewed as a refined version of the purely implicational fragment of intuitionistic logic. The refinement consists in using terms of the untyped lambda calculus to represent formal derivations of the logic.

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Formalizing Decidability Theorems About Automata,en faithful to the best expositions of those results in the literature? This paper answers that question positively for theorems about decidable properties of finite automata. The exposition is from Hoperoft and Ullman’s classic 1969 textbook.This paper describes a successful formalization which is

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Computers, Reasoning and Mathematical Practice,s have been part of the dream of computational logic for many years. This dream is in part being realised by the success of endeavours such as the Mizar project [110], which has produced many volumes of formalised mathematics, and McCune’s recent proof of the Robbins conjecture [79], cited, along wi

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