Propositional Logic
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Propositional Logic
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Author : Hans Kleine Büning
language : en
Publisher: Cambridge University Press
Release Date : 1999-08-28
Propositional Logic written by Hans Kleine Büning 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 1999-08-28 with Computers categories.
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.
Propositional And Predicate Calculus A Model Of Argument
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Author : Derek Goldrei
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-27
Propositional And Predicate Calculus A Model Of Argument written by Derek Goldrei 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 2005-12-27 with Mathematics categories.
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 Logics 3rd Edition
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Author : Richard L Epstein
language : en
Publisher: Advanced Reasoning Forum
Release Date : 2018-11-05
Propositional Logics 3rd Edition written by Richard L Epstein and has been published by Advanced Reasoning Forum this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Philosophy categories.
This book presents the history, philosophy, and mathematics of the major systems of propositional logic. Classical logic, modal logics, many-valued logics, intuitionism, paraconsistent logics, and dependent implication are examined in separate chapters. Each begins with a motivation in the originators' own terms, followed by the standard formal semantics, syntax, and completeness theorem. The chapters on the various logics are largely self-contained so that the book can be used as a reference. An appendix summarizes the formal semantics and axiomatizations of the logics. The view that unifies the exposition is that propositional logics comprise a spectrum: as the aspect of propositions under consideration varies, the logic varies. Each logic is shown to fall naturally within a general framework for semantics. A theory of translations between logics is presented that allows for further comparisons, and necessary conditions are given for a translation to preserve meaning. For this third edition the material has been re-organized to make the text easier to study, and a new section on paraconsistent logics with simple semantics has been added which challenges standard views on the nature of consequence relations. The text includes worked examples and hundreds of exercises, from routine to open problems, making the book with its clear and careful exposition ideal for courses or individual study.
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.
Elementary Logic Rev Ed P
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Author : W. V. QUINE
language : en
Publisher: Harvard University Press
Release Date : 2009-06-30
Elementary Logic Rev Ed P written by W. V. QUINE and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-30 with Philosophy categories.
Now much revised since its first appearance in 1941, this book, despite its brevity, is notable for its scope and rigor. It provides a single strand of simple techniques for the central business of modern logic. Basic formal concepts are explained, the paraphrasing of words into symbols is treated at some length, and a testing procedure is given for truth-function logic along with a complete proof procedure for the logic of quantifiers. Fully one third of this revised edition is new, and presents a nearly complete turnover in crucial techniques of testing and proving, some change of notation, and some updating of terminology. The study is intended primarily as a convenient encapsulation of minimum essentials, but concludes by giving brief glimpses of further matters.
The Semantic Foundations Of Logic Volume 1 Propositional Logics
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Author : R.L. Epstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
The Semantic Foundations Of Logic Volume 1 Propositional Logics written by R.L. Epstein 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 2013-11-11 with Philosophy categories.
This book grew out of my confusion. If logic is objective how can there be so many logics? Is there one right logic, or many right ones? Is there some underlying unity that connects them? What is the significance of the mathematical theorems about logic which I've learned if they have no connection to our everyday reasoning? The answers I propose revolve around the perception that what one pays attention to in reasoning determines which logic is appropriate. The act of abstracting from our reasoning in our usual language is the stepping stone from reasoned argument to logic. We cannot take this step alone, for we reason together: logic is reasoning which has some objective value. For you to understand my answers, or perhaps better, conjectures, I have retraced my steps: from the concrete to the abstract, from examples, to general theory, to further confirming examples, to reflections on the significance of the work.
Propositional Logic
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Author : Howard Pospesel
language : en
Publisher: Prentice Hall
Release Date : 1974
Propositional Logic written by Howard Pospesel and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Introduction To Mathematical Logic
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Author : Alonzo Church
language : en
Publisher: Princeton University Press
Release Date : 1996
Introduction To Mathematical Logic written by Alonzo Church and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
A classic account of mathematical logic from a pioneering giant in the field Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science. His first Princeton book, The Calculi of Lambda-Conversion (1941), established an invaluable tool that computer scientists still use today. Even beyond the accomplishment of that book, however, his second Princeton book, Introduction to Mathematical Logic, defined its subject for a generation. Originally published in Princeton's Annals of Mathematics Studies series, this book was revised in 1956 and reprinted a third time, in 1996, in the Princeton Landmarks in Mathematics series. Although new results in mathematical logic have been developed and other textbooks have been published, it remains, sixty years later, a basic source for understanding formal logic. Church was one of the principal founders of the Association for Symbolic Logic; he founded the Journal of Symbolic Logic in 1936 and remained an editor until 1979. At his death in 1995, Church was still regarded as the greatest mathematical logician in the world.
Logic For Philosophy
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Author : Theodore Sider
language : en
Publisher: Oxford University Press
Release Date : 2010-01-07
Logic For Philosophy written by Theodore Sider and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-07 with Philosophy categories.
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.
A Concise Introduction To Logic
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Author : Craig DeLancey
language : en
Publisher: Open SUNY Textbooks
Release Date : 2017-02-06
A Concise Introduction To Logic written by Craig DeLancey and has been published by Open SUNY Textbooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-06 with categories.