Logic

Logic pdf epub mobi txt 电子书 下载 2025

出版者:Springer
作者:Daniele Mundici
出品人:
页数:140
译者:
出版时间:2012-2-24
价格:USD 49.95
装帧:Paperback
isbn号码:9788847023604
丛书系列:
图书标签:
  • 计算机科学 
  • 数学 
  • Logic 
  • Springer 
  • 2012 
  •  
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This short book, geared towards undergraduate students ofcomputer science and mathematics, is specifically designed for a first course in mathematical logic.A proof of G del's completeness theorem and its main consequences is given using Robinson's completeness theorem and G del's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. The mathematical prerequisites are minimal: the book is accessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book also interesting to a wide range of students of philosophy and linguistics.

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