Basic proof theory

Description

"This introduction to the basic ideas of structural proof theory contains a through discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic." "In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text." "In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence."--Jacket.

Subjects

Series Statement

• Cambridge tracts in theoretical computer science ;
• 43

Links

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Other Editions

• Basic proof theoryCambridge University Press1996-01-01
• Basic proof theoryCambridge University Press2000-01-01
• Basic Proof TheoryUniversity of Cambridge ESOL Examinations2000-01-01
• Basic Proof TheoryCambridge University Press2012-01-01