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Formal Languages in Logic

Formal Languages in Logic
Author: Catarina Dutilh Novaes
Publisher: Cambridge University Press
Total Pages: 285
Release: 2012-11-08
Genre: Computers
ISBN: 1107020913

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Examines the cognitive impact on formal languages for human reasoning, drawing on philosophy, historical development, psychology and cognitive science.


Introduction to Languages, Machines and Logic

Introduction to Languages, Machines and Logic
Author: Alan P. Parkes
Publisher: Springer Science & Business Media
Total Pages: 352
Release: 2012-12-06
Genre: Computers
ISBN: 144710143X

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A well-written and accessible introduction to the most important features of formal languages and automata theory. It focuses on the key concepts, illustrating potentially intimidating material through diagrams and pictorial representations, and this edition includes new and expanded coverage of topics such as: reduction and simplification of material on Turing machines; complexity and O notation; propositional logic and first order predicate logic. Aimed primarily at computer scientists rather than mathematicians, algorithms and proofs are presented informally through examples, and there are numerous exercises (many with solutions) and an extensive glossary.


Introduction to Formal Languages

Introduction to Formal Languages
Author: György E. Révész
Publisher: Courier Corporation
Total Pages: 208
Release: 2015-03-17
Genre: Mathematics
ISBN: 0486169375

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Covers all areas, including operations on languages, context-sensitive languages, automata, decidability, syntax analysis, derivation languages, and more. Numerous worked examples, problem exercises, and elegant mathematical proofs. 1983 edition.


Finite Automata, Formal Logic, and Circuit Complexity

Finite Automata, Formal Logic, and Circuit Complexity
Author: Howard Straubing
Publisher: Springer Science & Business Media
Total Pages: 235
Release: 2012-12-06
Genre: Computers
ISBN: 1461202892

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The study of the connections between mathematical automata and for mal logic is as old as theoretical computer science itself. In the founding paper of the subject, published in 1936, Turing showed how to describe the behavior of a universal computing machine with a formula of first order predicate logic, and thereby concluded that there is no algorithm for deciding the validity of sentences in this logic. Research on the log ical aspects of the theory of finite-state automata, which is the subject of this book, began in the early 1960's with the work of J. Richard Biichi on monadic second-order logic. Biichi's investigations were extended in several directions. One of these, explored by McNaughton and Papert in their 1971 monograph Counter-free Automata, was the characterization of automata that admit first-order behavioral descriptions, in terms of the semigroup theoretic approach to automata that had recently been developed in the work of Krohn and Rhodes and of Schiitzenberger. In the more than twenty years that have passed since the appearance of McNaughton and Papert's book, the underlying semigroup theory has grown enor mously, permitting a considerable extension of their results. During the same period, however, fundamental investigations in the theory of finite automata by and large fell out of fashion in the theoretical com puter science community, which moved to other concerns.


Formal Languages and Compilation

Formal Languages and Compilation
Author: Stefano Crespi Reghizzi
Publisher: Springer Science & Business Media
Total Pages: 408
Release: 2013-10-16
Genre: Mathematics
ISBN: 1447155149

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This revised and expanded new edition elucidates the elegance and simplicity of the fundamental theory underlying formal languages and compilation. Retaining the reader-friendly style of the 1st edition, this versatile textbook describes the essential principles and methods used for defining the syntax of artificial languages, and for designing efficient parsing algorithms and syntax-directed translators with semantic attributes. Features: presents a novel conceptual approach to parsing algorithms that applies to extended BNF grammars, together with a parallel parsing algorithm (NEW); supplies supplementary teaching tools at an associated website; systematically discusses ambiguous forms, allowing readers to avoid pitfalls; describes all algorithms in pseudocode; makes extensive usage of theoretical models of automata, transducers and formal grammars; includes concise coverage of algorithms for processing regular expressions and finite automata; introduces static program analysis based on flow equations.


An Introduction to Formal Logic

An Introduction to Formal Logic
Author: Peter Smith
Publisher: Cambridge University Press
Total Pages: 370
Release: 2003-11-06
Genre: Mathematics
ISBN: 9780521008044

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Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.


Handbook of Formal Languages

Handbook of Formal Languages
Author: Grzegorz Rozenberg
Publisher: Springer Science & Business Media
Total Pages: 636
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642591264

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The need for a comprehensive survey-type exposition on formal languages and related mainstream areas of computer science has been evident for some years. In the early 1970s, when . the book Formal Languages by the second mentioned editor appeared, it was still quite feasible to write a comprehensive book with that title and include also topics of current research interest. This would not be possible anymore. A standard-sized book on formal languages would either have to stay on a fairly low level or else be specialized and restricted to some narrow sector of the field. The setup becomes drastically different in a collection of contributions, where the best authorities in the world join forces, each of them concentrat ing on their own areas of specialization. The present three-volume Handbook constitutes such a unique collection. In these three volumes we present the current state of the art in formal language theory. We were most satisfied with the enthusiastic response given to our request for contributions by specialists representing various subfields. The need for a Handbook of Formal Languages was in many answers expressed in different ways: as an easily accessible his torical reference, a general source of information, an overall course-aid, and a compact collection of material for self-study. We are convinced that the final result will satisfy such various needs. The theory of formal languages constitutes the stem or backbone of the field of science now generally known as theoretical computer science.


Forall X

Forall X
Author: P. D. Magnus
Publisher:
Total Pages: 0
Release: 2023
Genre: Logic
ISBN:

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Formal Approaches and Natural Language in Medieval Logic

Formal Approaches and Natural Language in Medieval Logic
Author: Laurent Cesalli
Publisher: Brepols
Total Pages: 0
Release: 2016
Genre: Logic, Medieval
ISBN: 9782503567358

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Is medieval logic formal? And if yes, in what sense? There are striking affinities between medieval and contemporary theories of language. Authors from the two periods share formal ambitions and maintain complex, and at time uneasy, relations with natural language. However, modern scholars became careful not to overlook the specificities of theories developed more than five hundred years apart, in particular with respect to their 'formal' character. In 1972, Alfonso Maieru noted that the efforts of medieval logicians to identify logical structures in language formal enough to become objects of scientific consideration. He also stressed that the language investigated is a historical one, Latin, so that one can legitimately wonder to which extent ... one is allowed to speak of 'formal logic' in the middle ages. In other words, medieval logic is characterized by a tension between 'formalist ambitions' and constraints proper to natural language. Today, our knowledge of the field has considerably expanded, calling for a new assessment of the question.