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Logic and Complexity

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Cover of 'Logic and Complexity'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Propositional logic
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    Chapter 3 Deduction systems
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    Chapter 4 First-order logic
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    Chapter 5 Completeness of first order logic
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    Chapter 6 Models of computation
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    Chapter 7 Recursion and decidability
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    Chapter 8 Incompleteness of Peano arithmetic
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    Chapter 9 Complexity: time and space
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    Chapter 10 First-order definability
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    Chapter 11 Inductive definitions and second-order logic
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    Chapter 12 Time complexity: the classes P and NP
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    Chapter 13 Models of parallel computations
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    Chapter 14 Space complexity: the classes L, FL, NL and PSPACE
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    Chapter 15 Definability of optimization and counting problems
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    Chapter 16 Probabilistic Classes
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    Chapter 17 Probabilistic verification
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    Chapter 18 Approximation
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    Chapter 19 Classes beyond NP
Attention for Chapter 12: Time complexity: the classes P and NP
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