Fragments Of First Order Logic

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Fragments Of First Order Logic

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Author : Ian Pratt-Hartmann
language : en
Publisher: Oxford University Press
Release Date : 2023

Fragments Of First Order Logic written by Ian Pratt-Hartmann 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 2023 with Mathematics categories.

Pratt-Hartmann considers for which fragments of first-order logic there is an effective method for determining satisfiability or finite satisfiability. Furthermore, he asks, if these problems are decidable for some fragment, what is their computational complexity?

Fragments Of First Order Logic

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Author : Ian Pratt-Hartmann
language : en
Publisher:
Release Date : 2023

Fragments Of First Order Logic written by Ian Pratt-Hartmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with First-order logic categories.

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.

The Classical Decision Problem

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Author : Egon Börger
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-08-28

The Classical Decision Problem written by Egon Börger 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 2001-08-28 with Mathematics categories.

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.

Extensions Of First Order Logic

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Author : Maria Manzano
language : en
Publisher: Cambridge University Press
Release Date : 1996-03-29

Extensions Of First Order Logic written by Maria Manzano 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 1996-03-29 with Computers categories.

An introduction to many-sorted logic as an extension of first-order logic.

Model Theory For Infinitary Logic

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Author : Howard Jerome Keisler
language : en
Publisher:
Release Date : 1971

Model Theory For Infinitary Logic written by Howard Jerome Keisler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.

What Is Mathematical Logic

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Author : J. N. Crossley
language : en
Publisher: Courier Corporation
Release Date : 2012-08-29

What Is Mathematical Logic written by J. N. Crossley and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-29 with Mathematics categories.

A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg, Dirac, and others. 1972 edition.

Automated Deduction Cade 17

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Author : David McAllester
language : en
Publisher: Springer
Release Date : 2006-12-30

Automated Deduction Cade 17 written by David McAllester and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-30 with Computers categories.

For the past 25 years the CADE conference has been the major forum for the presentation of new results in automated deduction. This volume contains the papers and system descriptions selected for the 17th International Conference on Automated Deduction, CADE-17, held June 17-20, 2000,at Carnegie Mellon University, Pittsburgh, Pennsylvania (USA). Fifty-three research papers and twenty system descriptions were submitted by researchers from ?fteen countries. Each submission was reviewed by at least three reviewers. Twenty-four research papers and ?fteen system descriptions were accepted. The accepted papers cover a variety of topics related to t- orem proving and its applications such as proof carrying code, cryptographic protocol veri?cation, model checking, cooperating decision procedures, program veri?cation, and resolution theorem proving. The program also included three invited lectures: “High-level veri?cation using theorem proving and formalized mathematics” by John Harrison, “Sc- able Knowledge Representation and Reasoning Systems” by Henry Kautz, and “Connecting Bits with Floating-Point Numbers: Model Checking and Theorem Proving in Practice” by Carl Seger. Abstracts or full papers of these talks are included in this volume.In addition to the accepted papers, system descriptions, andinvited talks, this volumecontains one page summaries of four tutorials and ?ve workshops held in conjunction with CADE-17.

Frontiers Of Combining Systems

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Author : Cesare Tinelli
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-23

Frontiers Of Combining Systems written by Cesare Tinelli 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 2011-09-23 with Computers categories.

This book constitutes the refereed proceedings of the 8th International Symposium on Frontiers of Combining Systems, FroCoS 2011, held in Saarbrücken, Germany, in October 2011. The 15 revised full papers presented together with three invited papers were carefully reviewed and selected from 22 submissions. The event builds a common forum for research activities in the general area of combination, modularization and integration of systems, with emphasis on logic-based ones, and of their practical use.

Interactive Logic

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Author : J. F. A. K. van Benthem
language : en
Publisher: Amsterdam University Press
Release Date : 2007

Interactive Logic written by J. F. A. K. van Benthem and has been published by Amsterdam University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Philosophy categories.

Traditionally, logic has dealt with notions of truth and reasoning. In the past several decades, however, research focus in logic has shifted to the vast field of interactive logic—the domain of logics for both communication and interaction. The main applications of this move are logical approaches to games and social software; the wealth of these applications was the focus of the seventh Augustus de Morgan Workshop in November 2005. This collection of papers from the workshop serves as the initial volume in the new series Texts in Logics and Games—touching on research in logic, mathematics, computer science, and game theory. “A wonderful demonstration of contemporary topics in logic.”—Wiebe van der Hoek, University of Liverpool

Logical Foundations Of Computer Science

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Author : Sergei Artemov
language : en
Publisher: Springer
Release Date : 2007-06-30

Logical Foundations Of Computer Science written by Sergei Artemov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-30 with Computers categories.

This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2007, held in New York, NY, USA in June 2007. The volume presents 36 revised refereed papers that address all current aspects of logic in computer science.