Download or read book The Prefix Hierarchy of First order Logic written by Dale Wayne Myers and published by . This book was released on 1972 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book SEPARATION PRINCIPLES IN THE HIERARCHY THEORY OF PURE FIRST ORDER LOGIC written by Melven Robert Krom and published by . This book was released on 1962 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computer Science Logic written by Jacques Duparc and published by Springer Science & Business Media. This book was released on 2007-08-30 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 21st International Workshop on Computer Science Logic, CSL 2007, held as the 16th Annual Conference of the EACSL in Lausanne, Switzerland. The 36 revised full papers presented together with the abstracts of six invited lectures are organized in topical sections on logic and games, expressiveness, games and trees, logic and deduction, lambda calculus, finite model theory, linear logic, proof theory, and game semantics.
Download or read book Parameterized Complexity in the Polynomial Hierarchy written by Ronald de Haan and published by Springer Nature. This book was released on 2019-12-30 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parameterized Complexity in the Polynomial Hierarchy was co-recipient of the E.W. Beth Dissertation Prize 2017 for outstanding dissertations in the fields of logic, language, and information. This work extends the theory of parameterized complexity to higher levels of the Polynomial Hierarchy (PH). For problems at higher levels of the PH, a promising solving approach is to develop fixed-parameter tractable reductions to SAT, and to subsequently use a SAT solving algorithm to solve the problem. In this dissertation, a theoretical toolbox is developed that can be used to classify in which cases this is possible. The use of this toolbox is illustrated by applying it to analyze a wide range of problems from various areas of computer science and artificial intelligence.
Download or read book First Order Logic written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2023-06-25 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: What Is First Order Logic First-order logic is a collection of formal systems that are utilized in the fields of mathematics, philosophy, linguistics, and computer science. Other names for first-order logic include predicate logic, quantificational logic, and first-order predicate calculus. In first-order logic, quantified variables take precedence over non-logical objects, and the use of sentences that contain variables is permitted. As a result, rather than making assertions like "Socrates is a man," one can make statements of the form "there exists x such that x is Socrates and x is a man," where "there exists" is a quantifier and "x" is a variable. This is in contrast to propositional logic, which does not make use of quantifiers or relations; propositional logic serves as the basis for first-order logic in this sense. How You Will Benefit (I) Insights, and validations about the following topics: Chapter 1: First-order logic Chapter 2: Axiom Chapter 3: Propositional calculus Chapter 4: Peano axioms Chapter 5: Universal quantification Chapter 6: Conjunctive normal form Chapter 7: Consistency Chapter 8: Zermelo–Fraenkel set theory Chapter 9: Interpretation (logic) Chapter 10: Quantifier rank (II) Answering the public top questions about first order logic. (III) Real world examples for the usage of first order logic in many fields. 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 first order logic.
Download or read book First order Logic written by Leigh S. Cauman and published by Walter de Gruyter. This book was released on 1998 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to principles and notation of modern symbolic logic, for those with no prior courses. The structure of material follows that of Quine's Methods of Logic, and may be used as an introduction to that work, with sections on truth-functional logic, predicate logic, relational logic, and identity and description. Exercises are based on problems designed by authors including Quine, John Cooley, Richard Jeffrey, and Lewis Carroll. Annotation copyrighted by Book News, Inc., Portland, OR
Download or read book Fragments of First order Logic written by Ian Pratt-Hartmann and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sentence of first-order logic is satisfiable if it is true in some structure, and finitely satisfiable if it is true in some finite structure. For which fragments of first-order logic is there an effective method for determining satisfiability or finite satisfiability? Furthermore, if these problems are decidable for a particular fragment, what is their computational complexity? This book provides an up-to-date survey of the principal axes of research into these questions. Part I focusses on fragments defined by restricting the set of available formulas. Starting with the Aristotelian syllogistic and its relatives, we proceed to consider the two-variable fragment, the guarded fragment, the quantifier-prefix fragments and the fluted fragment. Part II investigates logics with counting quantifiers. We begin with De Morgan's numerical generalization of the Aristotelian syllogistic, before giving a detailed treatment of the two-variable fragment with counting quantifiers and its guarded subfragment, explaining the application of the latter to ontology-based query answering. Part III concerns logics characterized by semantic constraints, limiting the available interpretations of certain predicates. The origins of this idea lie in propositional modal logic, and therefore we start with a survey of modal and graded modal logics. We then investigate two-variable first-order logic in which certain distinguished binary predicates are interpreted as equivalence relations or transitive relations, extending these results to incorporate counting quantifiers. We finish, slightly breaching the bounds of first-order logic proper, with a chapter on logics interpreted over trees.
Download or read book First Order Logic written by Raymond R. Smullyan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Except for this preface, this study is completely self-contained. It is intended to serve both as an introduction to Quantification Theory and as an exposition of new results and techniques in "analytic" or "cut-free" methods. We use the term "analytic" to apply to any proof procedure which obeys the subformula principle (we think of such a procedure as "analysing" the formula into its successive components). Gentzen cut-free systems are perhaps the best known example of ana lytic proof procedures. Natural deduction systems, though not usually analytic, can be made so (as we demonstrated in [3]). In this study, we emphasize the tableau point of view, since we are struck by its simplicity and mathematical elegance. Chapter I is completely introductory. We begin with preliminary material on trees (necessary for the tableau method), and then treat the basic syntactic and semantic fundamentals of propositional logic. We use the term "Boolean valuation" to mean any assignment of truth values to all formulas which satisfies the usual truth-table conditions for the logical connectives. Given an assignment of truth-values to all propositional variables, the truth-values of all other formulas under this assignment is usually defined by an inductive procedure. We indicate in Chapter I how this inductive definition can be made explicit-to this end we find useful the notion of a formation tree (which we discuss earlier).
Download or read book Fields of Logic and Computation written by Andreas Blass and published by Springer Science & Business Media. This book was released on 2010-08-05 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume, published in honor of Yuri Gurevich on the occasion of his 70th birthday, contains contributions, written by his colleagues. The collection of articles herein begins with an academic biography, an annotated list of Yuri's publications and reports, and a personal tribute by Jan Van den Bussche. These are followed by 28 technical contributions. These articles - though they cover a broad range of topics - represent only a fraction of Yuri Gurevich’s multiple areas of interest.
Download or read book Quantifiers in Action written by Antonio Badia and published by Springer Science & Business Media. This book was released on 2009-04-03 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The database industry is a multi-billion, world-wide, all-encompassing part of the software world. Quantifiers in Action: Generalized Quantification in Query, Logical and Natural Languages introduces a query language called GQs—Generalized Quantification in Query. Most query languages are simply versions of First Order Logic (FOL). GQs are an extension of the idea of quantifier in FOL. GQs are a perfect example of a practical theory within databases. This book provides a brief background in logic and introduces the concept of GQs, and then develops a query language based on GQs. Using Query Language with Generalized Quantifiers, the reader explores the efficient implementation of the concept, always a primary consideration in databases. This professional book also includes several extensions for use with documents employing question and answer techniques. Designed for practitioners and researchers within the database management field; also suitable for advanced-level students in computer science.
Download or read book Computer Science Logic written by Jörg Flum and published by Springer Science & Business Media. This book was released on 1999-09-08 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1999 Annual Conference of the European Association for Computer Science Logic, CSL’99, was held in Madrid, Spain, on September 20-25, 1999. CSL’99 was the 13th in a series of annual meetings, originally intended as Internat- nal Workshops on Computer Science Logic, and the 8th to be held as the - nual Conference of the EACSL. The conference was organized by the Computer Science Departments (DSIP and DACYA) at Universidad Complutense in M- rid (UCM). The CSL’99 program committee selected 34 of 91 submitted papers for p- sentation at the conference and publication in this proceedings volume. Each submitted paper was refereed by at least two, and in almost all cases, three di erent referees. The second refereeing round, previously required before a - per was accepted for publication in the proceedings, was dropped following a decision taken by the EACSL membership meeting held during CSL’98 (Brno, Czech Republic, August 25, 1998).
Download or read book Logic and Automata written by Jörg Flum and published by Amsterdam University Press. This book was released on 2008 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical logic and automata theory are two scientific disciplines with a fundamentally close relationship. The authors of Logic and Automata take the occasion of the sixtieth birthday of Wolfgang Thomas to present a tour d’horizon of automata theory and logic. The twenty papers in this volume cover many different facets of logic and automata theory, emphasizing the connections to other disciplines such as games, algorithms, and semigroup theory, as well as discussing current challenges in the field.
Download or read book Inductive Logic Programming written by Stephen Muggleton and published by Springer. This book was released on 2012-07-20 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 21st International Conference on Inductive Logic Programming, ILP 2011, held in Windsor Great Park, UK, in July/August 2011. The 24 revised full papers were carefully reviewed and selected from 66 submissions. Also included are five extended abstracts and three invited talks. The papers represent the diversity and vitality in present ILP research including ILP theory, implementations, probabilistic ILP, biological applications, sub-group discovery, grammatical inference, relational kernels, learning of Petri nets, spatial learning, graph-based learning, and learning of action models.
Download or read book The Bulletin of Symbolic Logic written by and published by . This book was released on 2006 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in the present volume go beyond 'classical' extensional logic with respect to one important factor: they all include among the semantic constituents representations of so-called 'possible worlds'. The inclusion of such 'indices' has turned out to be the semantic mainstay in dealing with a number of issues having to do with intensional features of natural and artificial languages. It is, of course, an open question whether 'possible world' semantics is in the final analysis the proper solution to the many problems and puzzles intensional constructions raise for the logical analysis of the many varieties of discourse. At present, there seem to be about as many opponents as proponents with regard to the usefulness of having the semantics of intensional languages based on possible world constructs. Some attempts to come to grips with intensional phenomena which are not couched in the possible world framework are discussed in Volume IV of the Handbook. Chapter 1 is an extensive survey of the main systems of (propositional) modal logic including the most important meta-mathematical results and the techniques used in establishing these. It introduces the basic terminology and semantic machinery applied in one way or another in many of the subsequent chapters. Chapter 2 discusses the most significant developments in (propositional) tense logic which can of course be regarded as a special kind of modal logic, where the possible world indices are simply (ordered) moments of time.
Download or read book The Classical Decision Problem written by Egon Börger and published by Springer Science & Business Media. This book was released on 2001-08-28 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive treatment of the classical decision problem of mathematical logic and of the role of the classical decision problem in modern computer science. The text presents a revealing analysis of the natural order of decidable and undecidable cases and includes a number of simple proofs and exercises.
Download or read book STACS 2001 written by Afonso Ferreira and published by Springer. This book was released on 2003-06-29 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 18th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2001, held in Dresden, Germany in February 2001. The 46 revised full papers presented together with three invited papers were carefully reviewed and selected from a total of 153 submissions. The papers address foundational aspects from all current areas of theoretical computer science including algorithms, data structures, automata, formal languages, complexity, verification, logic, graph theory, optimization, etc.
