Bounded Arithmetic, Propositional Logic and Complexity Theory

Bounded Arithmetic, Propositional Logic and Complexity Theory

Author: Jan Krajicek

Publisher: Cambridge University Press

Published: 1995-11-24

Total Pages: 361

ISBN-13: 0521452058

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Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.


Book Synopsis Bounded Arithmetic, Propositional Logic and Complexity Theory by : Jan Krajicek

Download or read book Bounded Arithmetic, Propositional Logic and Complexity Theory written by Jan Krajicek and published by Cambridge University Press. This book was released on 1995-11-24 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.


Propositional and Predicate Calculus: A Model of Argument

Propositional and Predicate Calculus: A Model of Argument

Author: Derek Goldrei

Publisher: Springer Science & Business Media

Published: 2005-12-27

Total Pages: 315

ISBN-13: 1846282292

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Designed specifically for guided independent study. Features a wealth of worked examples and exercises, many with full teaching solutions, that encourage active participation in the development of the material. It focuses on core material and provides a solid foundation for further study.


Book Synopsis Propositional and Predicate Calculus: A Model of Argument by : Derek Goldrei

Download or read book Propositional and Predicate Calculus: A Model of Argument written by Derek Goldrei and published by Springer Science & Business Media. This book was released on 2005-12-27 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed specifically for guided independent study. Features a wealth of worked examples and exercises, many with full teaching solutions, that encourage active participation in the development of the material. It focuses on core material and provides a solid foundation for further study.


Propositional Logic

Propositional Logic

Author: Hans Kleine Büning

Publisher: Cambridge University Press

Published: 1999-08-28

Total Pages: 432

ISBN-13: 9780521630177

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This account of propositional logic concentrates on the algorithmic translation of important methods, especially of decision procedures for (subclasses of) propositional logic. Important classical results and a series of new results taken from the fields of normal forms, satisfiability and deduction methods are arranged in a uniform and complete theoretic framework. The algorithms presented can be applied to VLSI design, deductive databases and other areas. After introducing the subject the authors discuss satisfiability problems and satisfiability algorithms with complexity considerations, the resolution calculus with different refinements, and special features and procedures for Horn formulas. Then, a selection of further calculi and some results on the complexity of proof procedures are presented. The last chapter is devoted to quantified boolean formulas. The algorithmic approach will make this book attractive to computer scientists and graduate students in areas such as automated reasoning, logic programming, complexity theory and pure and applied logic.


Book Synopsis Propositional Logic by : Hans Kleine Büning

Download or read book Propositional Logic written by Hans Kleine Büning and published by Cambridge University Press. This book was released on 1999-08-28 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This account of propositional logic concentrates on the algorithmic translation of important methods, especially of decision procedures for (subclasses of) propositional logic. Important classical results and a series of new results taken from the fields of normal forms, satisfiability and deduction methods are arranged in a uniform and complete theoretic framework. The algorithms presented can be applied to VLSI design, deductive databases and other areas. After introducing the subject the authors discuss satisfiability problems and satisfiability algorithms with complexity considerations, the resolution calculus with different refinements, and special features and procedures for Horn formulas. Then, a selection of further calculi and some results on the complexity of proof procedures are presented. The last chapter is devoted to quantified boolean formulas. The algorithmic approach will make this book attractive to computer scientists and graduate students in areas such as automated reasoning, logic programming, complexity theory and pure and applied logic.


A Concise Introduction to Logic

A Concise Introduction to Logic

Author: Craig DeLancey

Publisher: Open SUNY Textbooks

Published: 2017-02-06

Total Pages:

ISBN-13: 9781942341437

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Book Synopsis A Concise Introduction to Logic by : Craig DeLancey

Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:


Discrete Mathematics

Discrete Mathematics

Author: Oscar Levin

Publisher: Createspace Independent Publishing Platform

Published: 2018-07-30

Total Pages: 238

ISBN-13: 9781724572639

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Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.


Book Synopsis Discrete Mathematics by : Oscar Levin

Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.


Propositional Logic

Propositional Logic

Author: Fouad Sabry

Publisher: One Billion Knowledgeable

Published: 2023-06-24

Total Pages: 154

ISBN-13:

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What Is Propositional Logic The field of logic that is known as propositional calculus. There are a few other names for it, including propositional logic, statement logic, sentential calculus, sentential logic, and occasionally zeroth-order logic. It examines propositions as well as the relations that exist between propositions, as well as the formulation of arguments that are founded on propositions. By combining individual statements with various logical connectives, one can create compound propositions. Atomic propositions are those that don't have any logical connectives in them, as the name suggests. How You Will Benefit (I) Insights, and validations about the following topics: Chapter 1: Propositional calculus Chapter 2: Axiom Chapter 3: First-order logic Chapter 4: Modus tollens Chapter 5: Consistency Chapter 6: Contradiction Chapter 7: Rule of inference Chapter 8: List of rules of inference Chapter 9: Deduction theorem Chapter 10: Theory (mathematical logic) (II) Answering the public top questions about propositional logic. (III) Real world examples for the usage of propositional logic in many fields. (IV) 17 appendices to explain, briefly, 266 emerging technologies in each industry to have 360-degree full understanding of propositional logic' technologies. Who This Book Is For Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of propositional logic.


Book Synopsis Propositional Logic by : Fouad Sabry

Download or read book Propositional Logic written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2023-06-24 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: What Is Propositional Logic The field of logic that is known as propositional calculus. There are a few other names for it, including propositional logic, statement logic, sentential calculus, sentential logic, and occasionally zeroth-order logic. It examines propositions as well as the relations that exist between propositions, as well as the formulation of arguments that are founded on propositions. By combining individual statements with various logical connectives, one can create compound propositions. Atomic propositions are those that don't have any logical connectives in them, as the name suggests. How You Will Benefit (I) Insights, and validations about the following topics: Chapter 1: Propositional calculus Chapter 2: Axiom Chapter 3: First-order logic Chapter 4: Modus tollens Chapter 5: Consistency Chapter 6: Contradiction Chapter 7: Rule of inference Chapter 8: List of rules of inference Chapter 9: Deduction theorem Chapter 10: Theory (mathematical logic) (II) Answering the public top questions about propositional logic. (III) Real world examples for the usage of propositional logic in many fields. (IV) 17 appendices to explain, briefly, 266 emerging technologies in each industry to have 360-degree full understanding of propositional logic' technologies. Who This Book Is For Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of propositional logic.


Logic for Philosophy

Logic for Philosophy

Author: Theodore Sider

Publisher: Oxford University Press

Published: 2010-01-07

Total Pages: 305

ISBN-13: 0192658816

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Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.


Book Synopsis Logic for Philosophy by : Theodore Sider

Download or read book Logic for Philosophy written by Theodore Sider and published by Oxford University Press. This book was released on 2010-01-07 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.


Propositional Logic

Propositional Logic

Author: Howard Pospesel

Publisher: Prentice Hall

Published: 1974

Total Pages: 228

ISBN-13:

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Book Synopsis Propositional Logic by : Howard Pospesel

Download or read book Propositional Logic written by Howard Pospesel and published by Prentice Hall. This book was released on 1974 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Language in Action

Language in Action

Author: Johan van Benthem

Publisher: MIT Press

Published: 1995

Total Pages: 390

ISBN-13: 9780262720243

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Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic of information flow, in tune with computational developments in artificial intelligence and cognitive science. Using the paradigm of categorial grammar, he describes the substructural logics driving the dynamics of natural language syntax and semantics. This is a general type-theoretic approach that lends itself easily to proof-theoretic and semantic studies in tandem with standard logic. The emphasis is on a broad landscape of substructural categorial logics and their proof-theoretical and semantic peculiarities. This provides a systematic theory for natural language understanding, admitting of significant mathematical results. Moreover, the theory makes possible dynamic interpretations that view natural languages as programming formalisms for various cognitive activities.


Book Synopsis Language in Action by : Johan van Benthem

Download or read book Language in Action written by Johan van Benthem and published by MIT Press. This book was released on 1995 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic of information flow, in tune with computational developments in artificial intelligence and cognitive science. Using the paradigm of categorial grammar, he describes the substructural logics driving the dynamics of natural language syntax and semantics. This is a general type-theoretic approach that lends itself easily to proof-theoretic and semantic studies in tandem with standard logic. The emphasis is on a broad landscape of substructural categorial logics and their proof-theoretical and semantic peculiarities. This provides a systematic theory for natural language understanding, admitting of significant mathematical results. Moreover, the theory makes possible dynamic interpretations that view natural languages as programming formalisms for various cognitive activities.


Forall X

Forall X

Author: P. D. Magnus

Publisher:

Published: 2023

Total Pages: 0

ISBN-13:

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Book Synopsis Forall X by : P. D. Magnus

Download or read book Forall X written by P. D. Magnus and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: