[PDF.81wz] Basic Proof Theory (Cambridge Tracts in Theoretical Computer Science)

Basic Proof Theory (Cambridge Tracts in Theoretical Computer Science)

[PDF.db51] Basic Proof Theory (Cambridge Tracts in Theoretical Computer Science)

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 | #1424811 in Books |  Cambridge University Press |  2000-07-31 | Ingredients: Example Ingredients | Original language:English | PDF # 1 |  8.98 x.94 x5.98l,1.39 | File type: PDF | 432 pages

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||42 of 44 people found the following review helpful.| Useful but a bit mis-pitched|By William Stirton|This is a very bread-and-butter introduction to proof theory. Apart from digressions, it is not until we are five-sixths of the way through the book that we begin to meet formal systems in which any actual mathematics can be formalized (chapter 10). The first nine chapters are devoted to studying, in great detail, a plethora o| |'This is a fine book. Any computer scientist with some logical background will benefit from studying it. It is written by two of the experts in the field and comes up to their usual standards of precision and care.' Ray Turner, Computer Journal

This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of first-order logic formalization. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic, logic programming theory, category theory, modal logic, linear logic, first-order arithmetic and second-order logic. In each case the authors illustrate the methods in relatively simple situations and then...

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