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Perspectives in logic: logical foundations of proof complexity

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Author(s): Cook, Stephen; Nguyen, Phuong
Series: PERSPECTIVES IN LOGIC
Publisher: Cambridge Univ. Press
Year: 2010

Language: English
Pages: 479
City: Cambridge
Tags: Beweistheorie.;Konstruktive Mathematik.

Content: 1. Introduction
2. The predicate calculus and the system
3. Peano arithmetic and its subsystems
4. Two-sorted logic and complexity classes
5. The theory V0 and AC0
6. The theory V1 and polynomial time
7. Propositional translations
8. Theories for polynomial time and beyond
9. Theories for small classes
10. Proof systems and the reflection principle
11. Computation models.