Lectures On The Logic Of Computer Programming

Author : Zohar Manna
Publisher : SIAM
Page : 53 pages
File Size : 41,6 Mb
Release : 1980-01-01
Category : Computers
ISBN : 1611970385

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Lectures on the Logic of Computer Programming by Zohar Manna Pdf

This monograph deals with aspects of the computer programming process that involve techniques derived from mathematical logic. The author focuses on proving that a given program produces the intended result whenever it halts, that a given program will eventually halt, that a given program is partially correct and terminates, and that a system of rewriting rules always halts. Also, the author describes the intermediate behavior of a given program, and discusses constructing a program to meet a given specification.

Author : Steven Homer,Anil Nerode,Richard A. Platek,Gerald E. Sacks,Andre Scedrov
Publisher : Springer
Page : 158 pages
File Size : 44,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540471356

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Logic and Computer Science by Steven Homer,Anil Nerode,Richard A. Platek,Gerald E. Sacks,Andre Scedrov Pdf

The courses given at the 1st C.I.M.E. Summer School of 1988 dealt with the main areas on the borderline between applied logic and theoretical computer science. These courses are recorded here in five expository papers: S. Homer: The Isomorphism Conjecture and its Generalization.- A. Nerode: Some Lectures on Intuitionistic Logic.- R.A. Platek: Making Computers Safe for the World. An Introduction to Proofs of Programs. Part I. - G.E. Sacks: Prolog Programming.- A. Scedrov: A Guide to Polymorphic Types.

Author : Rex Page,Ruben Gamboa
Publisher : MIT Press
Page : 305 pages
File Size : 43,5 Mb
Release : 2019-01-08
Category : Computers
ISBN : 9780262039185

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Essential Logic for Computer Science by Rex Page,Ruben Gamboa Pdf

An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory. Computer scientists use logic for testing and verification of software and digital circuits, but many computer science students study logic only in the context of traditional mathematics, encountering the subject in a few lectures and a handful of problem sets in a discrete math course. This book offers a more substantive and rigorous approach to logic that focuses on applications in computer science. Topics covered include predicate logic, equation-based software, automated testing and theorem proving, and large-scale computation. Formalism is emphasized, and the book employs three formal notations: traditional algebraic formulas of propositional and predicate logic; digital circuit diagrams; and the widely used partially automated theorem prover, ACL2, which provides an accessible introduction to mechanized formalism. For readers who want to see formalization in action, the text presents examples using Proof Pad, a lightweight ACL2 environment. Readers will not become ALC2 experts, but will learn how mechanized logic can benefit software and hardware engineers. In addition, 180 exercises, some of them extremely challenging, offer opportunities for problem solving. There are no prerequisites beyond high school algebra. Programming experience is not required to understand the book's equation-based approach. The book can be used in undergraduate courses in logic for computer science and introduction to computer science and in math courses for computer science students.

Author : R. Goldblatt
Publisher : Lecture Notes in Computer Science
Page : 324 pages
File Size : 54,8 Mb
Release : 1982-03
Category : Computers
ISBN : UCAL:B4109800

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Axiomatising the Logic of Computer Programming by R. Goldblatt Pdf

Author : Genesereth Michael,Kao Eric
Publisher : Springer Nature
Page : 155 pages
File Size : 54,5 Mb
Release : 2013-08-16
Category : Mathematics
ISBN : 9783031017995

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Introduction to Logic, Second Edition by Genesereth Michael,Kao Eric Pdf

This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. The approach to teaching logic used here emerged from more than 20 years of teaching logic to students at Stanford University and from teaching logic to tens of thousands of others via online courses on the World Wide Web. The approach differs from that taken by other books in logic in two essential ways, one having to do with content, the other with form. Like many other books on logic, this one covers logical syntax and semantics and proof theory plus induction. However, unlike other books, this book begins with Herbrand semantics rather than the more traditional Tarskian semantics. This approach makes the material considerably easier for students to understand and leaves them with a deeper understanding of what logic is all about. In addition to this text, there are online exercises (with automated grading), online logic tools and applications, online videos of lectures, and an online forum for discussion. They are available at logic.stanford.edu/intrologic/

Author : Andrea Iacona
Publisher : Springer Nature
Page : 228 pages
File Size : 55,9 Mb
Release : 2021-05-10
Category : Philosophy
ISBN : 9783030648114

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LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science by Andrea Iacona Pdf

This textbook is a logic manual which includes an elementary course and an advanced course. It covers more than most introductory logic textbooks, while maintaining a comfortable pace that students can follow. The technical exposition is clear, precise and follows a paced increase in complexity, allowing the reader to get comfortable with previous definitions and procedures before facing more difficult material. The book also presents an interesting overall balance between formal and philosophical discussion, making it suitable for both philosophy and more formal/science oriented students. This textbook is of great use to undergraduate philosophy students, graduate philosophy students, logic teachers, undergraduates and graduates in mathematics, computer science or related fields in which logic is required.

Author : Uwe Schöning
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 48,9 Mb
Release : 2009-11-03
Category : Mathematics
ISBN : 9780817647636

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Logic for Computer Scientists by Uwe Schöning Pdf

This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. The classic text is replete with illustrative examples and exercises. It presents applications and themes of computer science research such as resolution, automated deduction, and logic programming in a rigorous but readable way. The style and scope of the work, rounded out by the inclusion of exercises, make this an excellent textbook for an advanced undergraduate course in logic for computer scientists.

Author : Joanna Golińska-Pilarek,Michał Zawidzki
Publisher : Springer
Page : 502 pages
File Size : 43,8 Mb
Release : 2018-12-08
Category : Philosophy
ISBN : 9783319978796

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Ewa Orłowska on Relational Methods in Logic and Computer Science by Joanna Golińska-Pilarek,Michał Zawidzki Pdf

This book is a tribute to Professor Ewa Orłowska, a Polish logician who was celebrating the 60th year of her scientific career in 2017. It offers a collection of contributed papers by different authors and covers the most important areas of her research. Prof. Orłowska made significant contributions to many fields of logic, such as proof theory, algebraic methods in logic and knowledge representation, and her work has been published in 3 monographs and over 100 articles in internationally acclaimed journals and conference proceedings. The book also includes Prof. Orłowska’s autobiography, bibliography and a trialogue between her and the editors of the volume, as well as contributors' biographical notes, and is suitable for scholars and students of logic who are interested in understanding more about Prof. Orłowska’s work.

Author : Michael Michael Genesereth,Vinay K. Vinay K. Chaudhri
Publisher : Springer Nature
Page : 199 pages
File Size : 46,7 Mb
Release : 2022-06-01
Category : Computers
ISBN : 9783031015861

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Introduction to Logic Programming by Michael Michael Genesereth,Vinay K. Vinay K. Chaudhri Pdf

Logic Programming is a style of programming in which programs take the form of sets of sentences in the language of Symbolic Logic. Over the years, there has been growing interest in Logic Programming due to applications in deductive databases, automated worksheets, Enterprise Management (business rules), Computational Law, and General Game Playing. This book introduces Logic Programming theory, current technology, and popular applications. In this volume, we take an innovative, model-theoretic approach to logic programming. We begin with the fundamental notion of datasets, i.e., sets of ground atoms. Given this fundamental notion, we introduce views, i.e., virtual relations; and we define classical logic programs as sets of view definitions, written using traditional Prolog-like notation but with semantics given in terms of datasets rather than implementation. We then introduce actions, i.e., additions and deletions of ground atoms; and we define dynamic logic programs as sets of action definitions. In addition to the printed book, there is an online version of the text with an interpreter and a compiler for the language used in the text and an integrated development environment for use in developing and deploying practical logic programs.

Author : Anita Wasilewska
Publisher : Springer
Page : 535 pages
File Size : 54,7 Mb
Release : 2018-11-03
Category : Computers
ISBN : 9783319925912

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Logics for Computer Science by Anita Wasilewska Pdf

Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists. Logics for Computer Science contains intuitive introductory chapters explaining the need for logical investigations, motivations for different types of logics and some of their history. They are followed by strict formal approach chapters. All chapters contain many detailed examples explaining each of the introduced notions and definitions, well chosen sets of exercises with carefully written solutions, and sets of homework. While many logic books are available, they were written by logicians for logicians, not for computer scientists. They usually choose one particular way of presenting the material and use a specialized language. Logics for Computer Science discusses Gentzen as well as Hilbert formalizations, first order theories, the Hilbert Program, Godel's first and second incompleteness theorems and their proofs. It also introduces and discusses some many valued logics, modal logics and introduces algebraic models for classical, intuitionistic, and modal S4 and S5 logics. The theory of computation is based on concepts defined by logicians and mathematicians. Logic plays a fundamental role in computer science, and this book explains the basic theorems, as well as different techniques of proving them in classical and some non-classical logics. Important applications derived from concepts of logic for computer technology include Artificial Intelligence and Software Engineering. In addition to Computer Science, this book may also find an audience in mathematics and philosophy courses, and some of the chapters are also useful for a course in Artificial Intelligence.

Author : Paul C. Gilmore
Publisher : Cambridge University Press
Page : 128 pages
File Size : 52,5 Mb
Release : 2017-03-30
Category : Mathematics
ISBN : 9781108676939

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Logicism Renewed by Paul C. Gilmore Pdf

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Logicism, as put forward by Bertrand Russell, was predicated on a belief that all of mathematics can be deduced from a very small number of fundamental logical principles. In this volume, the twenty-third publication in the Lecture Notes in Logic series, Paul C. Gilmore revisits logicism in light of recent advances in mathematical logic and theoretical computer science. Gilmore addresses the need for languages which can be understood by both humans and computers and, using Intensional Type Theory (ITT), provides a unified basis for mathematics and computer science. This yields much simpler foundations for recursion theory and the semantics of computer programs than those currently provided by category theory.

Author : Steven Homer,Anil Nerode,Richard A. Platek,Gerald E. Sacks,Andre Scedrov
Publisher : Springer
Page : 170 pages
File Size : 40,6 Mb
Release : 1990-07-17
Category : Mathematics
ISBN : 3540527346

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Logic and Computer Science by Steven Homer,Anil Nerode,Richard A. Platek,Gerald E. Sacks,Andre Scedrov Pdf

The courses given at the 1st C.I.M.E. Summer School of 1988 dealt with the main areas on the borderline between applied logic and theoretical computer science. These courses are recorded here in five expository papers: S. Homer: The Isomorphism Conjecture and its Generalization.- A. Nerode: Some Lectures on Intuitionistic Logic.- R.A. Platek: Making Computers Safe for the World. An Introduction to Proofs of Programs. Part I. - G.E. Sacks: Prolog Programming.- A. Scedrov: A Guide to Polymorphic Types.

Author : Luke Ong
Publisher : Springer
Page : 567 pages
File Size : 54,5 Mb
Release : 2005-09-07
Category : Computers
ISBN : 9783540318972

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Computer Science Logic by Luke Ong Pdf

The Annual Conference of the European Association for Computer Science Logic (EACSL), CSL 2005, was held at the University of Oxford on 22 –25 August 2005.

Author : Ed Brinksma,Holger Hermanns,Joost-Pieter Katoen
Publisher : Springer
Page : 434 pages
File Size : 44,7 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540446675

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Lectures on Formal Methods and Performance Analysis by Ed Brinksma,Holger Hermanns,Joost-Pieter Katoen Pdf

Traditionally, models and methods for the analysis of the functional correctness of reactive systems, and those for the analysis of their performance (and - pendability) aspects, have been studied by di?erent research communities. This has resulted in the development of successful, but distinct and largely unrelated modeling and analysis techniques for both domains. In many modern systems, however, the di?erence between their functional features and their performance properties has become blurred, as relevant functionalities become inextricably linked to performance aspects, e.g. isochronous data transfer for live video tra- mission. During the last decade, this trend has motivated an increased interest in c- bining insights and results from the ?eld of formal methods – traditionally - cused on functionality – with techniques for performance modeling and analysis. Prominent examples of this cross-fertilization are extensions of process algebra and Petri nets that allow for the automatic generation of performance models, the use of formal proof techniques to assess the correctness of randomized - gorithms, and extensions of model checking techniques to analyze performance requirements automatically. We believe that these developments markthe - ginning of a new paradigm for the modeling and analysis of systems in which qualitative and quantitative aspects are studied from an integrated perspective. We are convinced that the further worktowards the realization of this goal will be a growing source of inspiration and progress for both communities.

Author : Tamas Gergely,Laszlo Ury
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642582059

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First-Order Programming Theories by Tamas Gergely,Laszlo Ury Pdf

This work presents a purely classical first-order logical approach to the field of study in theoretical computer science sometimes referred to as the theory of programs, or programming theory. This field essentially attempts to provide a precise mathematical basis for the common activities involved in reasoning about computer programs and programming languages, and it also attempts to find practical applications in the areas of program specification, verification and programming language design. Many different approaches with different mathematical frameworks have been proposed as a basis for programming theory. They differ in the mathe matical machinery they use to define and investigate programs and program properties and they also differ in the concepts they deal with to understand the programming paradigm. Different approaches use different tools and viewpoints to characterize the data environment of programs. Most of the approaches are related to mathe matical logic and they provide their own logic. These logics, however, are very eclectic since they use special entities to reflect a special world of programs, and also, they are usually incomparable with each other. This Babel's mess irritated us and we decided to peel off the eclectic com ponents and try to answer all the questions by using classical first-order logic.