Logical Foundations of Proof Complexity PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Logical Foundations of Proof Complexity PDF full book. Access full book title Logical Foundations of Proof Complexity by Stephen Cook. Download full books in PDF and EPUB format.
Author: Stephen Cook
Publisher: Cambridge University Press
ISBN: 1139486306
Category : Mathematics
Languages : en
Pages : 496
Get Book Here
Book Description
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: Stephen Cook
Publisher: Cambridge University Press
ISBN: 1139486306
Category : Mathematics
Languages : en
Pages : 496
Get Book Here
Book Description
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: Pavel Pudlák
Publisher: Springer Science & Business Media
ISBN: 3319001191
Category : Mathematics
Languages : en
Pages : 699
Get Book Here
Book Description
The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability. Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs. Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.
Author: Jan Krajíček
Publisher: Cambridge University Press
ISBN: 1108416845
Category : Computers
Languages : en
Pages : 533
Get Book Here
Book Description
Offers a self-contained work presenting basic ideas, classical results, current state of the art and possible future directions in proof complexity.
Author: Stephen Cook
Publisher: Cambridge University Press
ISBN: 9780521517294
Category : Mathematics
Languages : en
Pages : 496
Get Book Here
Book Description
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: Jan Krajicek
Publisher: Cambridge University Press
ISBN: 0521452058
Category : Computers
Languages : en
Pages : 361
Get Book Here
Book Description
Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.
Author: Stephen Cook
Publisher:
ISBN: 9780511683633
Category : Computational complexity
Languages : en
Pages : 479
Get Book Here
Book Description
A treatise on bounded arithmetic and propositional proof complexity by the leader in the field.
Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 696
Get Book Here
Book Description
Author: Sanjeev Arora
Publisher: Cambridge University Press
ISBN: 0521424267
Category : Computers
Languages : en
Pages : 609
Get Book Here
Book Description
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Author: André Platzer
Publisher: Springer
ISBN: 9783319635873
Category : Mathematics
Languages : en
Pages : 639
Get Book Here
Book Description
Cyber-physical systems (CPSs) combine cyber capabilities, such as computation or communication, with physical capabilities, such as motion or other physical processes. Cars, aircraft, and robots are prime examples, because they move physically in space in a way that is determined by discrete computerized control algorithms. Designing these algorithms is challenging due to their tight coupling with physical behavior, while it is vital that these algorithms be correct because we rely on them for safety-critical tasks. This textbook teaches undergraduate students the core principles behind CPSs. It shows them how to develop models and controls; identify safety specifications and critical properties; reason rigorously about CPS models; leverage multi-dynamical systems compositionality to tame CPS complexity; identify required control constraints; verify CPS models of appropriate scale in logic; and develop an intuition for operational effects. The book is supported with homework exercises, lecture videos, and slides.
Author: Jean H. Gallier
Publisher: Courier Dover Publications
ISBN: 0486780821
Category : Mathematics
Languages : en
Pages : 532
Get Book Here
Book Description
This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.
