Formal Languages in Logic

Formal Languages in Logic PDF Author: Catarina Dutilh Novaes
Publisher: Cambridge University Press
ISBN: 1107020913
Category : Computers
Languages : en
Pages : 285

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

Formal Languages in Logic

Formal Languages in Logic PDF Author: Catarina Dutilh Novaes
Publisher: Cambridge University Press
ISBN: 1107020913
Category : Computers
Languages : en
Pages : 285

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

Introduction to Formal Languages

Introduction to Formal Languages PDF Author: György E. Révész
Publisher: Courier Corporation
ISBN: 0486169375
Category : Mathematics
Languages : en
Pages : 208

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Book Description
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.

Introduction to Languages, Machines and Logic

Introduction to Languages, Machines and Logic PDF Author: Alan P. Parkes
Publisher: Springer Science & Business Media
ISBN: 144710143X
Category : Computers
Languages : en
Pages : 352

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Book Description
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.

Mathematical Aspects Of Natural And Formal Languages

Mathematical Aspects Of Natural And Formal Languages PDF Author: Gheorghe Paun
Publisher: World Scientific
ISBN: 9814518158
Category : Computers
Languages : en
Pages : 502

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Book Description
This book contains original reviews by well-known workers in the field of mathematical linguistics and formal language theory, written in honour of Professor Solomon Marcus on the occasion of his 70th birthday.Some of the papers deal with contextual grammars, a class of generative devices introduced by Marcus, motivated by descriptive linguistics. Others are devoted to grammar systems, a very modern branch of formal language theory. Automata theory and the algebraic approach to computer science are other well-represented areas. While the contributions are mathematically oriented, practical issues such as cryptography, grammatical inference and natural language processing are also discussed.

Formal Languages and Compilation

Formal Languages and Compilation PDF Author: Stefano Crespi Reghizzi
Publisher: Springer Science & Business Media
ISBN: 1447155149
Category : Mathematics
Languages : en
Pages : 408

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Book Description
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.

The Logic of Our Language

The Logic of Our Language PDF Author: Rodger L. Jackson
Publisher: Broadview Press
ISBN: 1460402782
Category : Philosophy
Languages : en
Pages : 354

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Book Description
The Logic of Our Language teaches the practical and everyday application of formal logic. Rather than overwhelming the reader with abstract theory, Jackson and McLeod show how the skills developed through the practice of logic can help us to better understand our own language and reasoning processes. The authors’ goal is to draw attention to the patterns and logical structures inherent in our spoken and written language by teaching the reader how to translate English sentences into formal symbols. Other logical tools, including truth tables, truth trees, and natural deduction, are then introduced as techniques for examining the properties of symbolized sentences and assessing the validity of arguments. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website.

An Introduction to Formal Logic

An Introduction to Formal Logic PDF Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 9780521008044
Category : Mathematics
Languages : en
Pages : 370

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Book Description
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.

Finite Automata, Formal Logic, and Circuit Complexity

Finite Automata, Formal Logic, and Circuit Complexity PDF Author: Howard Straubing
Publisher: Springer Science & Business Media
ISBN: 1461202892
Category : Computers
Languages : en
Pages : 235

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Book Description
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.

Handbook of Formal Languages

Handbook of Formal Languages PDF Author: Grzegorz Rozenberg
Publisher: Springer Science & Business Media
ISBN: 9783540606499
Category : Computers
Languages : en
Pages : 654

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Book Description
This third volume of the Handbook of Formal Languages discusses language theory beyond linear or string models: trees, graphs, grids, pictures, computer graphics. Many chapters offer an authoritative self-contained exposition of an entire area. Special emphasis is on interconnections with logic.

Quantifiers in Language and Logic

Quantifiers in Language and Logic PDF Author: Stanley Peters
Publisher: Oxford University Press
ISBN: 019929125X
Category : Language Arts & Disciplines
Languages : en
Pages : 549

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Book Description
Quantification is a topic which brings together linguistics, logic, and philosophy. Quantifiers are the essential tools with which, in language or logic, we refer to quantity of things or amount of stuff. In English they include such expressions as no, some, all, both, and many. Peters and Westerstahl present the definitive interdisciplinary exploration of how they work - their syntax, semantics, and inferential role.Quantifiers in Language and Logic is intended for everyone with a scholarly interest in the exact treatment of meaning. It presents a broad view of the semantics and logic of quantifier expressions in natural languages and, to a slightly lesser extent, in logical languages. The authors progress carefully from a fairly elementary level to considerable depth over the course of sixteen chapters; their book will be invaluable to a broad spectrum of readers, from those with a basicknowledge of linguistic semantics and of first-order logic to those with advanced knowledge of semantics, logic, philosophy of language, and knowledge representation in artificial intelligence.