Propositional Logic

Author : Hans Kleine Büning,Theodor Lettmann
Publisher : Cambridge University Press
Page : 432 pages
File Size : 48,7 Mb
Release : 1999-08-28
Category : Computers
ISBN : 0521630177

Get Book

Propositional Logic by Hans Kleine Büning,Theodor Lettmann Pdf

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.

Author : Craig DeLancey
Publisher : Open SUNY Textbooks
Page : 128 pages
File Size : 46,5 Mb
Release : 2017-02-06
Category : Electronic
ISBN : 1942341431

Get Book

A Concise Introduction to Logic by Craig DeLancey Pdf

Author : Jan Krajicek
Publisher : Cambridge University Press
Page : 361 pages
File Size : 47,5 Mb
Release : 1995-11-24
Category : Computers
ISBN : 9780521452052

Get Book

Bounded Arithmetic, Propositional Logic and Complexity Theory by Jan Krajicek Pdf

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

Author : Derek Goldrei
Publisher : Springer Science & Business Media
Page : 315 pages
File Size : 42,7 Mb
Release : 2005-12-27
Category : Mathematics
ISBN : 9781846282294

Get Book

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

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.

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 42,8 Mb
Release : 2018-07-30
Category : Electronic
ISBN : 1724572636

Get Book

Discrete Mathematics by Oscar Levin Pdf

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.

Author : Fouad Sabry
Publisher : One Billion Knowledgeable
Page : 154 pages
File Size : 44,5 Mb
Release : 2023-06-24
Category : Computers
ISBN : PKEY:6610000470242

Get Book

Propositional Logic by Fouad Sabry Pdf

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.

Author : Theodore Sider
Publisher : Oxford University Press
Page : 305 pages
File Size : 48,7 Mb
Release : 2010-01-07
Category : Philosophy
ISBN : 9780192658814

Get Book

Logic for Philosophy by Theodore Sider Pdf

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.

Author : Francesca Poggiolesi
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 45,6 Mb
Release : 2010-11-19
Category : Philosophy
ISBN : 9789048196708

Get Book

Gentzen Calculi for Modal Propositional Logic by Francesca Poggiolesi Pdf

The book is about Gentzen calculi for (the main systems of) modal logic. It is divided into three parts. In the first part we introduce and discuss the main philosophical ideas related to proof theory, and we try to identify criteria for distinguishing good sequent calculi. In the second part we present the several attempts made from the 50’s until today to provide modal logic with Gentzen calculi. In the third and and final part we analyse new calculi for modal logics, called tree-hypersequent calculi, which were recently introduced by the author. We show in a precise and clear way the main results that can be proved with and about them.

Author : Wei Li,Yuefei Sui
Publisher : Springer Nature
Page : 264 pages
File Size : 55,9 Mb
Release : 2023-03-27
Category : Mathematics
ISBN : 9789811986338

Get Book

R-Calculus, IV: Propositional Logic by Wei Li,Yuefei Sui Pdf

This fourth volume of the book series combines propositional logic and R-calculus for a new point of view to consider belief revision. It gives the R-calculi for propositional logic, description logics, propositional modal logic, logic programming, ⇝-propositional logic, semantic networks, and three-valued logic, etc.. Applications of R-calculus in logic of supersequents are also given. This book offers a rich blend of theory and practice. It is suitable for students, researchers and practitioners in the field of logic.

Author : Avicenna
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401026246

Get Book

The Propositional Logic of Avicenna by Avicenna Pdf

The main purpose of this work is to provide an English translation of and commentary on a recently published Arabic text dealing with con ditional propositions and syllogisms. The text is that of A vicenna (Abu represents his views on the subject as they were held throughout his life.

Author : R.L. Epstein
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 48,8 Mb
Release : 2013-11-11
Category : Philosophy
ISBN : 9789400905252

Get Book

The Semantic Foundations of Logic Volume 1: Propositional Logics by R.L. Epstein Pdf

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.

Author : Richard L Epstein
Publisher : Advanced Reasoning Forum
Page : 509 pages
File Size : 42,6 Mb
Release : 2018-11-05
Category : Philosophy
ISBN : 9780983452171

Get Book

Propositional Logics 3rd edition by Richard L Epstein Pdf

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.

Author : P. D. Magnus,Tim Button,Robert Trueman,Richard Zach
Publisher : Unknown
Page : 0 pages
File Size : 52,5 Mb
Release : 2023
Category : Logic
ISBN : OCLC:1410964102

Get Book

Forall X by P. D. Magnus,Tim Button,Robert Trueman,Richard Zach Pdf

Author : Howard Pospesel
Publisher : Prentice Hall
Page : 228 pages
File Size : 51,5 Mb
Release : 1974
Category : Mathematics
ISBN : PSU:000012773329

Get Book

Propositional Logic by Howard Pospesel Pdf

Author : Witold A. Pogorzelski,Piotr Wojtylak
Publisher : Springer Science & Business Media
Page : 178 pages
File Size : 43,5 Mb
Release : 2008-05-25
Category : Mathematics
ISBN : 9783764385187

Get Book

Completeness Theory for Propositional Logics by Witold A. Pogorzelski,Piotr Wojtylak Pdf

This book develops the theory of one of the most important notions in the methodology of formal systems. Particularly, completeness plays an important role in propositional logic where many variants of the notion have been defined. This approach allows also for a more profound view upon some essential properties of propositional systems. For these purposes, the theory of logical matrices, and the theory of consequence operations is exploited.