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Language Proof and Logic

Language  Proof  and Logic Book
Author : Dave Barker-Plummer,Jon Barwise,John Etchemendy
Publisher : Stanford Univ Center for the Study
Release : 2011
ISBN : 9781575866321
Language : En, Es, Fr & De

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Book Description :

Rev. ed. of: Language, proof, and logic / Jon Barwise & John Etchemendy.

The Language of First Order Logic Including the Macintosh Program Tarski s World 4 0

The Language of First Order Logic  Including the Macintosh Program Tarski s World 4 0 Book
Author : Jon Barwise,John Etchemendy
Publisher : Center for the Study of Language and Information Publications
Release : 1993-08-01
ISBN : 9780937073995
Language : En, Es, Fr & De

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Book Description :

The Language of First-Order Logic is a complete introduction to first-order symbolic logic, consisting of a computer program and a text. The program, an aid to learning and using symbolic notation, allows one to construct symbolic sentences and possible worlds, and verify that a sentence is well formed. The truth or falsity of a sentence can be determined by playing a deductive game with the computer.

Principia Mathematica

Principia Mathematica Book
Author : Alfred North Whitehead,Bertrand Russell
Publisher : Unknown
Release : 1910
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Principia Mathematica book written by Alfred North Whitehead,Bertrand Russell, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

A Concise Introduction to Logic

A Concise Introduction to Logic Book
Author : Craig DeLancey
Publisher : Open SUNY Textbooks
Release : 2017-02-06
ISBN : 9781942341437
Language : En, Es, Fr & De

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Book Description :

Download A Concise Introduction to Logic book written by Craig DeLancey, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Logic Language and Security

Logic  Language  and Security Book
Author : Vivek Nigam,Tajana Ban Kirigin,Carolyn Talcott,Joshua Guttman,Stepan Kuznetsov,Boon Thau Loo,Mitsuhiro Okada
Publisher : Springer Nature
Release : 2020-10-28
ISBN : 3030620778
Language : En, Es, Fr & De

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Book Description :

This Festschrift was published in honor of Andre Scedrov on the occasion of his 65th birthday. The 11 technical papers and 3 short papers included in this volume show the many transformative discoveries made by Andre Scedrov in the areas of linear logic and structural proof theory; formal reasoning for networked systems; and foundations of information security emphasizing cryptographic protocols. These papers are authored by researchers around the world, including North America, Russia, Europe, and Japan, that have been directly or indirectly impacted by Andre Scedrov. The chapter “A Small Remark on Hilbert's Finitist View of Divisibility and Kanovich-Okada-Scedrov's Logical Analysis of Real-Time Systems” is available open access under a CC BY 4.0 license at link.springer.com.

Symbolic Logic

Symbolic Logic Book
Author : David W. Agler
Publisher : Rowman & Littlefield
Release : 2012-11
ISBN : 1442217421
Language : En, Es, Fr & De

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Book Description :

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs.

Proof and Disproof in Formal Logic

Proof and Disproof in Formal Logic Book
Author : Richard Bornat
Publisher : OUP Oxford
Release : 2005-07-21
ISBN : 0191586765
Language : En, Es, Fr & De

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Book Description :

Proof and Disproof in Formal Logic is a lively and entertaining introduction to formal logic providing an excellent insight into how a simple logic works. Formal logic allows you to check a logical claim without considering what the claim means. This highly abstracted idea is an essential and practical part of computer science. The idea of a formal system—a collection of rules and axioms which define a universe of logical proofs—is what gives us programming languages and modern-day programming. This book concentrates on using logic as a tool: making and using formal proofs and disproofs of particular logical claims. The logic it uses—natural deduction—is very small and very simple; working with it helps you see how large mathematical universes can be built on small foundations. The book is divided into four parts: · Part I "Basics" gives an introduction to formal logic with a short history of logic and explanations of some technical words. · Part II "Formal syntactic proof" show you how to do calculations in a formal system where you are guided by shapes and never need to think about meaning. Your experiments are aided by Jape, which can operate as both inquisitor and oracle. · Part III "Formal semantic disproof" shows you how to construct mathematical counterexamples to show that proof is impossible. Jape can check the counterexamples you build. · Part IV "Program specification and proof" describes how to apply your logical understanding to a real computer science problem, the accurate description and verification of programs. Jape helps, as far as arithmetic allows. Aimed at undergraduates and graduates in computer science, logic, mathematics, and philosophy, the text includes reference to and exercises based on the computer software package Jape, an interactive teaching and research tool designed and hosted by the author that is freely available on the web.

Book of Proof

Book of Proof Book
Author : Richard H. Hammack
Publisher : Unknown
Release : 2016-01-01
ISBN : 9780989472111
Language : En, Es, Fr & De

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Book Description :

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

Proofs and Algorithms

Proofs and Algorithms Book
Author : Gilles Dowek
Publisher : Springer Science & Business Media
Release : 2011-01-11
ISBN : 0857291211
Language : En, Es, Fr & De

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Book Description :

Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation. Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself. Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

Language Truth and Logic

Language  Truth and Logic Book
Author : Alfred Jules Ayer
Publisher : Courier Corporation
Release : 2012-04-18
ISBN : 0486113094
Language : En, Es, Fr & De

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Book Description :

"A delightful book … I should like to have written it myself." — Bertrand Russell First published in 1936, this first full-length presentation in English of the Logical Positivism of Carnap, Neurath, and others has gone through many printings to become a classic of thought and communication. It not only surveys one of the most important areas of modern thought; it also shows the confusion that arises from imperfect understanding of the uses of language. A first-rate antidote for fuzzy thought and muddled writing, this remarkable book has helped philosophers, writers, speakers, teachers, students, and general readers alike. Mr. Ayers sets up specific tests by which you can easily evaluate statements of ideas. You will also learn how to distinguish ideas that cannot be verified by experience — those expressing religious, moral, or aesthetic experience, those expounding theological or metaphysical doctrine, and those dealing with a priori truth. The basic thesis of this work is that philosophy should not squander its energies upon the unknowable, but should perform its proper function in criticism and analysis.

Logic Deductive and Inductive

Logic  Deductive and Inductive Book
Author : Carveth Read
Publisher : Unknown
Release : 1901
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Logic Deductive and Inductive book written by Carveth Read, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Forall X

Forall X Book
Author : P. D. Magnus
Publisher : State University of New York Oer Services
Release : 2018-07-25
ISBN : 9781641760263
Language : En, Es, Fr & De

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Book Description :

"Forall x is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. This books treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven. Throughout the book, I have tried to highlight the choices involved in developing sentential and predicate logic. Students should realize that these two are not the only possible formal languages. In translating to a formal language, we simplify and profit in clarity. The simplification comes at a cost, and different formal languages are suited to translating different parts of natural language. The book is designed to provide a semester's worth of material for an introductory college course. It would be possible to use the book only for sentential logic, by skipping chapters 4-5 and parts of chapter 6"--Open Textbook Library.

Articulating Medieval Logic

Articulating Medieval Logic Book
Author : Terence Parsons
Publisher : Oxford University Press
Release : 2014-02
ISBN : 0199688842
Language : En, Es, Fr & De

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Book Description :

Studies the development and logical complexity of medieval logic, the expansion of Aristotle's notation by medieval logicians, and the development of additional logical principle--

Diagrammatic Representation and Inference

Diagrammatic Representation and Inference Book
Author : Gem Stapleton,John Howse,John Lee
Publisher : Springer Science & Business Media
Release : 2008-09-10
ISBN : 3540877290
Language : En, Es, Fr & De

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Book Description :

Diagrams is an international and interdisciplinary conference series, covering all aspects of research on the theory and application of diagrams. Recent technological advances have enabled the large-scale adoption of d- grams in a diverse range of areas. Increasingly sophisticated visual represen- tions are emerging and, to enable e?ective communication, insight is required into how diagrams are used and when they are appropriate for use. The per- sive, everyday use of diagrams for communicating information and ideas serves to illustrate the importance of providing a sound understanding of the role that diagrams can, and do, play. Research in the ?eld of diagrams aims to improve our understanding of the role of diagrams, sketches and other visualizations in communication, computation, cognition, creative thought, and problem solving. These concerns have triggered a surge of interest in the study of diagrams. The study of diagrammatic communication as a whole must be pursued as an interdisciplinary endeavour.Diagrams 2008 was the ?fth event in this conf- ence series, which was launched in Edinburghduring September 2000.Diagrams attracts a large number of researchers from virtually all related ?elds, placing the conference as a major international event in the area. Diagrams is the only conference that provides a united forum for all areas that are concerned with the study of diagrams: for example, architecture, - ti?cial intelligence, cartography, cognitive science, computer science, education, graphicdesign,historyofscience,human-computerinteraction,linguistics,logic, mathematics,philosophy,psychology,andsoftwaremodelling.Weseeissuesfrom all of these ?elds discussed in the papers collected in the present volume.

Logic Language and Meaning Volume 1

Logic  Language  and Meaning  Volume 1 Book
Author : L. T. F. Gamut,L. T. F.,L. T. F.. Gamut,L. T. F. van Benthem
Publisher : University of Chicago Press
Release : 1991
ISBN : 9780226280844
Language : En, Es, Fr & De

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Book Description :

Although the two volumes of Logic, Language, and Meaning can be used independently of one another, together they provide a comprehensive overview of modern logic as it is used as a tool in the analysis of natural language. Both volumes provide exercises and their solutions. Volume 1, Introduction to Logic, begins with a historical overview and then offers a thorough introduction to standard propositional and first-order predicate logic. It provides both a syntactic and a semantic approach to inference and validity, and discusses their relationship. Although language and meaning receive special attention, this introduction is also accessible to those with a more general interest in logic. In addition, the volume contains a survey of such topics as definite descriptions, restricted quantification, second-order logic, and many-valued logic. The pragmatic approach to non-truthconditional and conventional implicatures are also discussed. Finally, the relation between logic and formal syntax is treated, and the notions of rewrite rule, automation, grammatical complexity, and language hierarchy are explained.

Logic Language Information and Computation

Logic  Language  Information  and Computation Book
Author : Rosalie Iemhoff,Michael Moortgat,Ruy de Queiroz
Publisher : Springer
Release : 2019-06-10
ISBN : 9783662595329
Language : En, Es, Fr & De

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Book Description :

Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 26th Workshop on Logic, Language, Information and Communication, WoLLIC 2019, held in Utrecht, The Netherlands, in July 2019. The 41 full papers together with 6 invited lectures presented were fully reviewed and selected from 60 submissions. The idea is to have a forum which is large enough in the number of possible interactions between logic and the sciences related to information and computation, and yet is small enough to allow for concrete and useful interaction among participants.

Logic and Computation

Logic and Computation Book
Author : Lawrence C. Paulson
Publisher : Cambridge University Press
Release : 1990-07-26
ISBN : 9780521395601
Language : En, Es, Fr & De

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Book Description :

This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program statements. Cambridge LCF is based on an earlier theorem-proving system, Edinburgh LCF, which introduced a design that gives the user flexibility to use and extend the system. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Part I outlines the mathematical preliminaries, elementary logic and domain theory, and explains them at an intuitive level, giving reference to more advanced reading; Part II provides sufficient detail to serve as a reference manual for Cambridge LCF. It will also be a useful guide for implementors of other programs based on the LCF approach.

Logic Made Easy How to Know When Language Deceives You

Logic Made Easy  How to Know When Language Deceives You Book
Author : Deborah J. Bennett
Publisher : W. W. Norton & Company
Release : 2005-07-17
ISBN : 0393347613
Language : En, Es, Fr & De

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Book Description :

"The best introduction to logic you will find."—Martin Gardner "Professor Bennett entertains as she instructs," writes Publishers Weekly about the penetrating yet practical Logic Made Easy. This brilliantly clear and gratifyingly concise treatment of the ancient Greek discipline identifies the illogical in everything from street signs to tax forms. Complete with puzzles you can try yourself, Logic Made Easy invites readers to identify and ultimately remedy logical slips in everyday life. Designed with dozens of visual examples, the book guides you through those hair-raising times when logic is at odds with our language and common sense. Logic Made Easy is indeed one of those rare books that will actually make you a more logical human being.

Mathematical Logic

Mathematical Logic Book
Author : H.-D. Ebbinghaus,J. Flum,Wolfgang Thomas
Publisher : Springer Science & Business Media
Release : 2013-03-14
ISBN : 1475723555
Language : En, Es, Fr & De

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Book Description :

This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.

Basic Proof Theory

Basic Proof Theory Book
Author : A. S. Troelstra,H. Schwichtenberg
Publisher : Cambridge University Press
Release : 2000-07-27
ISBN : 9780521779111
Language : En, Es, Fr & De

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Book Description :

This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.