This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of firstorder logic formalization. Examples are given of several areas of application, namely: the metamathematics of pure firstorder logic, logic programming theory, category theory, modal logic, linear logic, firstorder arithmetic and secondorder logic. In each case the authors illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. For the new edition, they have rewritten many sections to improve clarity, added new sections on cut elimination, and included solutions to selected exercises. In general, the only prerequisite is a standard course in firstorder logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence.
About A. S. Troelstra
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Author  :  A. S. Troelstra 
Publisher  :  Cambridge University Press 
Data Published  :  27 July 2000 
ISBN  :  0521779111 
EAN  :  9780521779111 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  432 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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