The Logical Basis for Computer Programming: Deductive reasoning PDF Download

Author: Zohar Manna
Publisher: Addison-Wesley Professional
ISBN:
Category : Computers
Languages : en
Pages : 642

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Author: Zohar Manna
Publisher:
ISBN:
Category : Computer programming
Languages : en
Pages : 664

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Mathematical logic; Theories with induction.

Author: Edward P. Stabler
Publisher: MIT Press
ISBN: 9780262193153
Category : Language Arts & Disciplines
Languages : en
Pages : 468

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Book Description
By formalizing recent syntactic theories for natural languages Stabler shows how their complexity can be handled without guesswork or oversimplification. By formalizing recent syntactic theories for natural languages in the tradition of Chomsky's Barriers, Stabler shows how their complexity can be handled without guesswork or oversimplification. He introduces logical representations of these theories together with special deductive techniques for exploring their consequences that will provide linguists with a valuable tool for deriving and testing theoretical predictions and for experimenting with alternative formulations of grammatical principles. Stabler's novel approach allows results to be deduced with straightforward calculations and provides a systematic framework for tackling the problem of how speakers can infer the properties of an utterance from principles of the grammar. The special treatment of equality, induction principles, and inclusion of a general method for collecting structures from proofs means that sophisticated linguistic arguments can be carried out in detail, giving a rich perspective to issues in linguistic theory and parsing.

Author: Friedrich L. Bauer
Publisher: Springer Science & Business Media
ISBN: 3642767990
Category : Computers
Languages : en
Pages : 493

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Book Description
The Marktoberdorf Summer Schools on Informatics were started in 1970, with the intention to convene every second or third year a group of top researchers in computing, devoted to preach their most recent results to an elite of advanced students - young and most promising people - and prepared to stand their questions, criticism and suggestions. The themes of these Advanced Study In stitutes under the sponsorship of the NATO Scientific Affairs Division varied slightly over the years, oscillating more or less around Programming Methodo logy, as the following list shows: 1970 Data Structures and Computer Systems 1971 Program Structures and Fundamental Concepts of Programming 1973 Structured Programming and Programmed Structures 1975 Language Hierarchies and Interfaces 1978 Program Construction 1981 Theoretical Foundations of Programming Methodology 1984 Control Flow and Data Flow: Concepts of Distributed Programming 1986 Logic of Programming and Calculi of Discrete Design 1988 Constructive Methods in Computing Science 1989 Logic, Algebra, and Computation Logic, Algebra, and Computation is the theme of the summer school to which this volume is devoted. It is the tenth in succession, but it is also the first in a new series (the "blue" series) that is intended to alternate in future with the traditional (the "red" series) arrangement; in fact the tenth summer school in the "red" series with the title "Programming and Mathematical Method" , held in 1990, was the subject of celebrating both its serial number and the twenty years of Marktoberdorf Summer Schools altogether.

Author: Nachum Dershowitz
Publisher: Springer
ISBN: 3540399100
Category : Computers
Languages : en
Pages : 798

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Book Description
This festschrift volume constitutes a unique tribute to Zohar Manna on the occasion of his 64th birthday. Like the scientific work of Zohar Manna, the 32 research articles span the entire scope of the logical half of computer science. Also included is a paean to Zohar Manna by the volume editor. The articles presented are devoted to the theory of computing, program semantics, logics of programs, temporal logic, automated deduction, decision procedures, model checking, concurrent systems, reactive systems, hardware and software verification, testing, software engineering, requirements specification, and program synthesis.

Author: Kees Doets
Publisher: College Publications
ISBN:
Category : Haskell (Computer program language)
Languages : en
Pages : 448

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Long ago, when Alexander the Great asked the mathematician Menaechmus for a crash course in geometry, he got the famous reply ``There is no royal road to mathematics.'' Where there was no shortcut for Alexander, there is no shortcut for us. Still, the fact that we have access to computers and mature programming languages means that there are avenues for us that were denied to the kings and emperors of yore. The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming in Haskell. Haskell emerged in the 1990s as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvelous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures. This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book, the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others. This is the updated, expanded, and corrected second edition of a much-acclaimed textbook. Praise for the first edition: 'Doets and van Eijck's ``The Haskell Road to Logic, Maths and Programming'' is an astonishingly extensive and accessible textbook on logic, maths, and Haskell.' Ralf Laemmel, Professor of Computer Science, University of Koblenz-Landau

Author: Kung-Kiu Lau
Publisher: Springer Science & Business Media
ISBN: 1447135601
Category : Computers
Languages : en
Pages : 282

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Book Description
Logic program synthesis and transformation are topics of central importance to the software industry. The demand for software can not be met by the current supply, in terms of volume, complexity, or reliability. The most promising solution seems to be the increased automation of software production: programmer productivity would improve, and correctness could be ensured by the application of mathematical methods. Because of their mathematical foundations, logic programs lend themselves particularly well to machine-assisted development techniques, and therefore to automation. This volume contains the proceedings of the second International Workshop on Logic Program Synthesis and Transformation (LOPSTR 92), held at the University of Manchester, 2-3 July 1992. The LOPSTR workshops are the only international meetings devoted to these two important areas. A variety of new techniques were described at the workshop, all of which promise to revolutionize the software industry once they become standard practise. These include techniques for the transformation of an inefficient program into an equivalent, efficient one, and the synthesis of a program from a formal specification of its required behaviour. Among the topics covered in this volume are: optimal transformation of logic programs; logic program synthesis via proof planning; deductive synthesis of programs for query answering; efficient compilation of lazy narrowing into Prolog; synthesis of narrowing programs; Logimix: a self-applicable partial evaluator for Prolog; proof nets; automatic termination analysis. Logic Program Synthesis and Transformation describes the latest advances in machine-assisted development of logic programs. It will provide essential reading for researchers and postgraduate students concerned with these two important areas.

Author: Artur S. D'Avila Garcez
Publisher: Springer Science & Business Media
ISBN: 3540732454
Category : Computers
Languages : en
Pages : 200

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This book explores why, regarding practical reasoning, humans are sometimes still faster than artificial intelligence systems. It is the first to offer a self-contained presentation of neural network models for many computer science logics.

Author: Lawrence C. Paulson
Publisher: Cambridge University Press
ISBN: 9780521395601
Category : Computers
Languages : en
Pages : 322

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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.

Author: Fernando C. N. Pereira
Publisher: Microtome Publishing
ISBN: 0971977704
Category : Computers
Languages : en
Pages : 262

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