Arithmetic Proof Theory And Computational Complexity
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Arithmetic, Proof Theory, and Computational Complexity
This book principally concerns the rapidly growing area of "Logical Complexity Theory", the study of bounded arithmetic, propositional proof systems, length of proof, etc and relations to computational complexity theory. Additional features of the book include (1) the transcription and translation of a recently discovered 1956 letter from K Godel to J von Neumann, asking about a polynomial time algorithm for the proof in k-symbols of predicate calculus formulas (equivalent to the P-NP question), (2) an OPEN PROBLEM LIST consisting of 7 fundamental and 39 technical questions contributed by many researchers, together with a bibliography of relevant references.
Arithmetic, Proof Theory, and Computational Complexity
This book principally concerns the area of "Logical Complexity Theory", the study of bounded arithmetic, propositional proof systems, length of proof, etc and relations to computational complexity theory. This includes an open problem list of 7 fundamental and 39 technical questions together with a bibliography of references.
Bounded Arithmetic, Propositional Logic and Complexity Theory
Author: Jan Krajicek
language: en
Publisher: Cambridge University Press
Release Date: 1995-11-24
Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.