Space In Weak Propositional Proof Systems

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Space In Weak Propositional Proof Systems
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Author : Ilario Bonacina
language : en
Publisher: Springer
Release Date : 2018-01-11
Space In Weak Propositional Proof Systems written by Ilario Bonacina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-11 with Computers categories.
This book considers logical proof systems from the point of view of their space complexity. After an introduction to propositional proof complexity the author structures the book into three main parts. Part I contains two chapters on resolution, one containing results already known in the literature before this work and one focused on space in resolution, and the author then moves on to polynomial calculus and its space complexity with a focus on the combinatorial technique to prove monomial space lower bounds. The first chapter in Part II addresses the proof complexity and space complexity of the pigeon principles. Then there is an interlude on a new type of game, defined on bipartite graphs, essentially independent from the rest of the book, collecting some results on graph theory. Finally Part III analyzes the size of resolution proofs in connection with the Strong Exponential Time Hypothesis (SETH) in complexity theory. The book is appropriate for researchers in theoretical computer science, in particular computational complexity.
Theory And Applications Of Models Of Computation
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Author : Jin-Yi Cai
language : en
Publisher: Springer
Release Date : 2006-05-05
Theory And Applications Of Models Of Computation written by Jin-Yi Cai and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-05 with Computers categories.
This book constitutes the refereed proceedings of the Third International Conference on Theory and Applications of Models of Computation, TAMC 2006, held in Beijing, China, in May 2006. The 75 revised full papers presented together with 7 plenary talks were carefully reviewed and selected from 319 submissions. All major areas in computer science, mathematics (especially logic) and the physical sciences particularly with regard to computation and computability theory are addressed.
Theory And Applications Of Models Of Computation
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Author : Jan Kratochvil
language : en
Publisher: Springer
Release Date : 2010-06-01
Theory And Applications Of Models Of Computation written by Jan Kratochvil and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-01 with Computers categories.
Annotation This book constitutes the refereed proceedings of the 7th InternationalConference on Theory and Applications of Models of Computation, TAMC2010, held in Prague, Czech Republic, in June 2010.The 35 revised full papers presented together with 5 contributions ofspecial sessions as well as 2 plenary talks were carefully reviewed andselected from 76 submissions. The papers address the three main themesof the conference which were computability, complexity, and algorithmsand present current research in these fields with aspects to theoreticalcomputer science, algorithmic mathematics, and applications to thephysical sciences.
Bounded Arithmetic Propositional Logic And Complexity Theory
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Author : Jan Krajicek
language : en
Publisher: Cambridge University Press
Release Date : 1995-11-24
Bounded Arithmetic Propositional Logic And Complexity Theory written by Jan Krajicek and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-24 with Computers categories.
Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.
Automata Languages And Programming
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Author : Peter Widmayer
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-06-26
Automata Languages And Programming written by Peter Widmayer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-26 with Computers categories.
This book constitutes the refereed proceedings of the 29th International Colloquium on Automata, Languages and Programming, ICALP 2002, held in Malaga, Spain, in July 2002. The 83 revised full papers presented together with 7 invited papers were carefully reviewed and selected from a total of 269 submissions. All current aspects of theoretical computer science are addressed and major new results are presented.
The Logico Algebraic Approach To Quantum Mechanics
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Author : C.A. Hooker
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Logico Algebraic Approach To Quantum Mechanics written by C.A. Hooker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The twentieth century has witnessed a striking transformation in the un derstanding of the theories of mathematical physics. There has emerged clearly the idea that physical theories are significantly characterized by their abstract mathematical structure. This is in opposition to the tradi tional opinion that one should look to the specific applications of a theory in order to understand it. One might with reason now espouse the view that to understand the deeper character of a theory one must know its abstract structure and understand the significance of that struc ture, while to understand how a theory might be modified in light of its experimental inadequacies one must be intimately acquainted with how it is applied. Quantum theory itself has gone through a development this century which illustrates strikingly the shifting perspective. From a collection of intuitive physical maneuvers under Bohr, through a formative stage in which the mathematical framework was bifurcated (between Schrödinger and Heisenberg) to an elegant culmination in von Neumann's Hilbert space formulation the elementary theory moved, flanked even at the later stage by the ill-understood formalisms for the relativistic version and for the field-theoretic altemative; after that we have a gradual, but constant, elaboration of all these quantal theories as abstract mathematical struc tures (their point of departure being von Neumann's formalism) until at the present time theoretical work is heavily preoccupied with the manip ulation of purely abstract structures.
Mathematical Foundations Of Computer Science 2013
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Author : Krishnendu Chatterjee
language : en
Publisher: Springer
Release Date : 2013-08-16
Mathematical Foundations Of Computer Science 2013 written by Krishnendu Chatterjee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-16 with Computers categories.
This book constitutes the thoroughly refereed conference proceedings of the 38th International Symposium on Mathematical Foundations of Computer Science, MFCS 2013, held in Klosterneuburg, Austria, in August 2013. The 67 revised full papers presented together with six invited talks were carefully selected from 191 submissions. Topics covered include algorithmic game theory, algorithmic learning theory, algorithms and data structures, automata, formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, databases and knowledge-based systems, foundations of computing, logic in computer science, models of computation, semantics and verification of programs, and theoretical issues in artificial intelligence.
Proof Complexity
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Author : Jan Krajíček
language : en
Publisher: Cambridge University Press
Release Date : 2019-03-28
Proof Complexity written by Jan Krajíček and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-28 with Computers categories.
Offers a self-contained work presenting basic ideas, classical results, current state of the art and possible future directions in proof complexity.
New Separations In Propositional Proof Complexity
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Author : Nathan Segerlind
language : en
Publisher:
Release Date : 2003
New Separations In Propositional Proof Complexity written by Nathan Segerlind and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Computational Complexity Theory
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Author : Steven Rudich
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Computational Complexity Theory written by Steven Rudich and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.
Computational Complexity Theory is the study of how much of a given resource is required to perform the computations that interest us the most. Four decades of fruitful research have produced a rich and subtle theory of the relationship between different resource measures and problems. At the core of the theory are some of the most alluring open problems in mathematics. This book presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on computational complexity. The first week gives a general introduction to the field, including descriptions of the basic mo.