Language  Proof  and Logic Book
Score: 5
From 1 Ratings

Language Proof and Logic

  • Author : Dave Barker-Plummer
  • Publisher : Stanford Univ Center for the Study
  • Release Date : 2011
  • Genre: Computers
  • Pages : 606
  • ISBN 10 : 1575866323

Language Proof and Logic Excerpt :

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

Logic  Language  and Security Book

Logic Language and Security

  • Author : Vivek Nigam
  • Publisher : Springer Nature
  • Release Date : 2020-10-28
  • Genre: Mathematics
  • Pages : 203
  • ISBN 10 : 9783030620776

Logic Language and Security Excerpt :

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

Symbolic Logic Book
Score: 1
From 1 Ratings

Symbolic Logic

  • Author : David W. Agler
  • Publisher : Rowman & Littlefield
  • Release Date : 2012-11
  • Genre: Mathematics
  • Pages : 397
  • ISBN 10 : 9781442217423

Symbolic Logic Excerpt :

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.

Hybrid Logic and its Proof Theory Book

Hybrid Logic and its Proof Theory

  • Author : Torben Braüner
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-11-17
  • Genre: Philosophy
  • Pages : 231
  • ISBN 10 : 9789400700024

Hybrid Logic and its Proof Theory Excerpt :

This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a series of statements about what happens at specific times. There is little consensus about proof-theory for ordinary modal logic. Many modal-logical proof systems lack important properties and the relationships between proof systems for different modal logics are often unclear. In the present book we demonstrate that hybrid-logical proof-theory remedies these deficiencies by giving a spectrum of well-behaved proof systems (natural deduction, Gentzen, tableau, and axiom systems) for a spectrum of different hybrid logics (propositional, first-order, intensional first-order, and intuitionistic).

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

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

  • Author : Jon Barwise
  • Publisher : Center for the Study of Language and Information Publications
  • Release Date : 1993-08-01
  • Genre: Mathematics
  • Pages : 336
  • ISBN 10 : 0937073997

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

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.

Basic Proof Theory Book

Basic Proof Theory

  • Author : A. S. Troelstra
  • Publisher : Cambridge University Press
  • Release Date : 2000-07-27
  • Genre: Computers
  • Pages : 436
  • ISBN 10 : 0521779111

Basic Proof Theory Excerpt :

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.

Proof and Disproof in Formal Logic Book

Proof and Disproof in Formal Logic

  • Author : Richard Bornat
  • Publisher : OUP Oxford
  • Release Date : 2005-07-21
  • Genre: Mathematics
  • Pages : 264
  • ISBN 10 : 9780191586767

Proof and Disproof in Formal Logic Excerpt :

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.

Forall X Book

Forall X

  • Author : P. D. Magnus
  • Publisher : State University of New York Oer Services
  • Release Date : 2018-07-25
  • Genre: Logic
  • Pages : 156
  • ISBN 10 : 1641760265

Forall X Excerpt :

"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.

Proof  Logic and Formalization Book

Proof Logic and Formalization

  • Author : Michael Detlefsen
  • Publisher : Routledge
  • Release Date : 2005-07-08
  • Genre: Philosophy
  • Pages : 256
  • ISBN 10 : 9781134975273

Proof Logic and Formalization Excerpt :

The mathematical proof is the most important form of justification in mathematics. It is not, however, the only kind of justification for mathematical propositions. The existence of other forms, some of very significant strength, places a question mark over the prominence given to proof within mathematics. This collection of essays, by leading figures working within the philosophy of mathematics, is a response to the challenge of understanding the nature and role of the proof.

Language  Truth and Logic Book
Score: 3.5
From 6 Ratings

Language Truth and Logic

  • Author : Alfred Jules Ayer
  • Publisher : Courier Corporation
  • Release Date : 2012-04-18
  • Genre: Philosophy
  • Pages : 160
  • ISBN 10 : 9780486113098

Language Truth and Logic Excerpt :

"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.

Proofs and Refutations Book

Proofs and Refutations

  • Author : Imre Lakatos
  • Publisher : Cambridge University Press
  • Release Date : 1976
  • Genre: Philosophy
  • Pages : 190
  • ISBN 10 : 0521290384

Proofs and Refutations Excerpt :

Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.

A Concise Introduction to Logic Book

A Concise Introduction to Logic

  • Author : Craig DeLancey
  • Publisher : Open SUNY Textbooks
  • Release Date : 2017-02-06
  • Genre: Uncategoriezed
  • Pages : null
  • ISBN 10 : 1942341431

A Concise Introduction to Logic Excerpt :

Language  Logic  and Mathematics in Schopenhauer Book

Language Logic and Mathematics in Schopenhauer

  • Author : Jens Lemanski
  • Publisher : Springer Nature
  • Release Date : 2020-06-08
  • Genre: Mathematics
  • Pages : 326
  • ISBN 10 : 9783030330903

Language Logic and Mathematics in Schopenhauer Excerpt :

The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic. Beginning with Schopenhauer’s philosophy of language, the chapters examine the individual aspects of his semantics, semiotics, translation theory, language criticism, and communication theory. Additionally, Schopenhauer’s anticipation of modern contextualism is analyzed. The second section then addresses his logic, examining proof theory, metalogic, system of natural deduction, conversion theory, logical geometry, and the history of logic. Special focus is given to the role of the Euler diagrams used frequently in his lectures and their significance to broader context of his logic. In the final section, chapters discuss Schopenhauer’s philosophy of mathematics while synthesizing all topics from the previous sections, emphasizing the relationship between intuition and concept. Aimed at a variety of academics, including researchers of Schopenhauer, philosophers, historians, logicians, mathematicians, and linguists, this title serves as a unique and vital resource for those interested in expanding their knowledge of Schopenhauer’s work as it relates to modern mathematical and logical study.

Book of Proof Book

Book of Proof

  • Author : Richard H. Hammack
  • Publisher : Unknown
  • Release Date : 2016-01-01
  • Genre: Mathematics
  • Pages : 314
  • ISBN 10 : 0989472116

Book of Proof Excerpt :

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.

Logic Primer  second edition Book

Logic Primer second edition

  • Author : Colin Allen
  • Publisher : MIT Press
  • Release Date : 2001-01-16
  • Genre: Computers
  • Pages : 215
  • ISBN 10 : 9780262511261

Logic Primer second edition Excerpt :

Logic Primer presents a rigorous introduction to natural deduction systems of sentential and first-order logic. Logic Primer presents a rigorous introduction to natural deduction systems of sentential and first-order logic. The text is designed to foster the student-instructor relationship. The key concepts are laid out in concise definitions and comments, with the expectation that the instructor will elaborate upon them. New to the second edition is the addition of material on the logic of identity in chapters 3 and 4. An innovative interactive Web site, consisting of a "Logic Daemon" and a "Quizmaster," encourages students to formulate their own proofs and links them to appropriate explanations in the book.