Proof Complexity PDF Download
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| Author | : Jan Krajíček |
| Publisher | : Cambridge University Press |
| Total Pages | : 533 |
| Release | : 2019-03-28 |
| Genre | : Mathematics |
| ISBN | : 1108266126 |
Download Proof Complexity Book in PDF, ePub and Kindle
Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. It stresses a view of proof complexity as a whole entity rather than a collection of various topics held together loosely by a few notions, and it favors more generalizable statements. Lower bounds for lengths of proofs, often regarded as the key issue in proof complexity, are of course covered in detail. However, upper bounds are not neglected: this book also explores the relations between bounded arithmetic theories and proof systems and how they can be used to prove upper bounds on lengths of proofs and simulations among proof systems. It goes on to discuss topics that transcend specific proof systems, allowing for deeper understanding of the fundamental problems of the subject.
| Author | : Paul W. Beame |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 335 |
| Release | : 1998 |
| Genre | : Computational complexity |
| ISBN | : 0821805770 |
Download Proof Complexity and Feasible Arithmetics Book in PDF, ePub and Kindle
The 16 papers reflect some of the breakthroughs over the past dozen years in understanding whether or not logical inferences can be made in certain situations and what resources are necessary to make such inferences, questions that play a large role in computer science and artificial intelligence. They discuss such aspects as lower bounds in proof complexity, witnessing theorems and proof systems for feasible arithmetic, algebraic and combinatorial proof systems, and the relationship between proof complexity and Boolean circuit complexity. No index. Member prices are $47 for institutions and $35 for individuals. Annotation copyrighted by Book News, Inc., Portland, OR.
| Author | : Stephen Cook |
| Publisher | : Cambridge University Press |
| Total Pages | : 0 |
| Release | : 2014-03-06 |
| Genre | : Mathematics |
| ISBN | : 9781107694118 |
Download Logical Foundations of Proof Complexity Book in PDF, ePub and Kindle
This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven chapters include the necessary logical background for the material and are suitable for a graduate course. Associated with each of many complexity classes are both a two-sorted predicate calculus theory, with induction restricted to concepts in the class, and a propositional proof system. The result is a uniform treatment of many systems in the literature, including Buss's theories for the polynomial hierarchy and many disparate systems for complexity classes such as AC0, AC0(m), TC0, NC1, L, NL, NC, and P.
| Author | : Stephen Cook |
| Publisher | : Cambridge University Press |
| Total Pages | : 496 |
| Release | : 2010-01-25 |
| Genre | : Mathematics |
| ISBN | : 1139486306 |
Download Logical Foundations of Proof Complexity Book in PDF, ePub and Kindle
This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven chapters include the necessary logical background for the material and are suitable for a graduate course. The result is a uniform treatment of many systems in the literature.
| Author | : Sanjeev Arora |
| Publisher | : Cambridge University Press |
| Total Pages | : 609 |
| Release | : 2009-04-20 |
| Genre | : Computers |
| ISBN | : 0521424267 |
Download Computational Complexity Book in PDF, ePub and Kindle
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
| Author | : Jan Krajicek |
| Publisher | : Cambridge University Press |
| Total Pages | : 361 |
| Release | : 1995-11-24 |
| Genre | : Computers |
| ISBN | : 0521452058 |
Download Bounded Arithmetic, Propositional Logic and Complexity Theory Book in PDF, ePub and Kindle
Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.
| Author | : David A. Plaisted |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 179 |
| Release | : 2013-11-11 |
| Genre | : Computers |
| ISBN | : 3663078477 |
Download The Efficiency of Theorem Proving Strategies Book in PDF, ePub and Kindle
Dieses Buch in englischer Sprache widmet sich dem Thema der Effizienz von Beweisstrategien und bietet eine vergleichende und asymptotische Analyse. Das Werk stellt erstmalig asymptotische Schranken für die Größe der von vielen gebräuchlichen Beweisstrategien erzeugten Suchfelder bereit. Auf diese Weise erlaubt es ein theoretisches Verständnis der Effizienz unterschiedlicher Beweisverfahren. Es wird ein fundamental neues Werkzeug für den Effizienzvergleich von Beweisstrategien bereitgestellt. Die zweite Auflage wurde gegenüber der ersten leicht verbessert, neuere Literaturhinweise zudem berücksichtigt. This book is unique in that it gives asymptotic bounds on the sizes of the search spaces generated by many common theorem proving strategies. Thus it permits one to gain a theoretical unterstanding of the efficiencies of many different theorem proving methods. This is a fundamental new tool in the comparative study of theorem proving strategies.
| Author | : Peter Clote |
| Publisher | : Clarendon Press |
| Total Pages | : 442 |
| Release | : 1993-05-06 |
| Genre | : Mathematics |
| ISBN | : 9780198536901 |
Download Arithmetic, Proof Theory, and Computational Complexity Book in PDF, ePub and Kindle
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.
| Author | : Alfred North Whitehead |
| Publisher | : |
| Total Pages | : 696 |
| Release | : 1910 |
| Genre | : Logic, Symbolic and mathematical |
| ISBN | : |
Download Principia Mathematica Book in PDF, ePub and Kindle
| Author | : Jan Kratochvil |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 493 |
| Release | : 2010-05-20 |
| Genre | : Computers |
| ISBN | : 3642135617 |
Download Theory and Applications of Models of Computation Book in PDF, ePub and Kindle
This book constitutes the refereed proceedings of the 7th International Conference on Theory and Applications of Models of Computation, TAMC 2010, held in Prague, Czech Republic, in June 2010. The 35 revised full papers presented together with 5 contributions of special sessions as well as 2 plenary talks were carefully reviewed and selected from 76 submissions. The papers address the three main themes of the conference which were computability, complexity, and algorithms and present current research in these fields with aspects to theoretical computer science, algorithmic mathematics, and applications to the physical sciences.
