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Computational Logic and Set Theory: Applying Formalized by Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo,Martin PDF

By Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo,Martin Davis

This must-read textual content offers the pioneering paintings of the overdue Professor Jacob (Jack) T. Schwartz on computational common sense and set thought and its software to evidence verification concepts, culminating within the ÆtnaNova procedure, a prototype machine application designed to make sure the correctness of mathematical proofs awarded within the language of set concept. issues and contours: describes intensive how a particular first-order conception could be exploited to version and perform reasoning in branches of desktop technology and arithmetic; provides an particular procedure for computerized evidence verification in large-scale software program structures; integrates very important proof-engineering matters, reflecting the ambitions of large-scale verifiers; comprises an appendix exhibiting formalized proofs of ordinals, of varied homes of the transitive closure operation, of finite and transfinite induction rules, and of Zorn’s lemma.

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Computational Logic and Set Theory: Applying Formalized Logic to Analysis by Jacob T. Schwartz,Domenico Cantone,Eugenio G. Omodeo,Martin Davis


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