Inductive Semantics and Syntax

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Publisher :
ISBN 13 : 9783111747484
Total Pages : 316 pages
Book Rating : 4.7/5 (474 download)

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Book Synopsis Inductive Semantics and Syntax by : Leo Zawadowski

Download or read book Inductive Semantics and Syntax written by Leo Zawadowski and published by . This book was released on 1975 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Formal Semantics of Programming Languages

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Publisher : MIT Press
ISBN 13 : 9780262731034
Total Pages : 388 pages
Book Rating : 4.7/5 (31 download)

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Book Synopsis The Formal Semantics of Programming Languages by : Glynn Winskel

Download or read book The Formal Semantics of Programming Languages written by Glynn Winskel and published by MIT Press. This book was released on 1993-02-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Formal Semantics of Programming Languages provides the basic mathematical techniques necessary for those who are beginning a study of the semantics and logics of programming languages. These techniques will allow students to invent, formalize, and justify rules with which to reason about a variety of programming languages. Although the treatment is elementary, several of the topics covered are drawn from recent research, including the vital area of concurency. The book contains many exercises ranging from simple to miniprojects.Starting with basic set theory, structural operational semantics is introduced as a way to define the meaning of programming languages along with associated proof techniques. Denotational and axiomatic semantics are illustrated on a simple language of while-programs, and fall proofs are given of the equivalence of the operational and denotational semantics and soundness and relative completeness of the axiomatic semantics. A proof of Godel's incompleteness theorem, which emphasizes the impossibility of achieving a fully complete axiomatic semantics, is included. It is supported by an appendix providing an introduction to the theory of computability based on while-programs. Following a presentation of domain theory, the semantics and methods of proof for several functional languages are treated. The simplest language is that of recursion equations with both call-by-value and call-by-name evaluation. This work is extended to lan guages with higher and recursive types, including a treatment of the eager and lazy lambda-calculi. Throughout, the relationship between denotational and operational semantics is stressed, and the proofs of the correspondence between the operation and denotational semantics are provided. The treatment of recursive types - one of the more advanced parts of the book - relies on the use of information systems to represent domains. The book concludes with a chapter on parallel programming languages, accompanied by a discussion of methods for specifying and verifying nondeterministic and parallel programs.

Concrete Semantics

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Publisher : Springer
ISBN 13 : 3319105426
Total Pages : 304 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Concrete Semantics by : Tobias Nipkow

Download or read book Concrete Semantics written by Tobias Nipkow and published by Springer. This book was released on 2014-12-03 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.

Certified Programming with Dependent Types

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Publisher : MIT Press
ISBN 13 : 0262317885
Total Pages : 437 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Certified Programming with Dependent Types by : Adam Chlipala

Download or read book Certified Programming with Dependent Types written by Adam Chlipala and published by MIT Press. This book was released on 2013-12-06 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A handbook to the Coq software for writing and checking mathematical proofs, with a practical engineering focus. The technology of mechanized program verification can play a supporting role in many kinds of research projects in computer science, and related tools for formal proof-checking are seeing increasing adoption in mathematics and engineering. This book provides an introduction to the Coq software for writing and checking mathematical proofs. It takes a practical engineering focus throughout, emphasizing techniques that will help users to build, understand, and maintain large Coq developments and minimize the cost of code change over time. Two topics, rarely discussed elsewhere, are covered in detail: effective dependently typed programming (making productive use of a feature at the heart of the Coq system) and construction of domain-specific proof tactics. Almost every subject covered is also relevant to interactive computer theorem proving in general, not just program verification, demonstrated through examples of verified programs applied in many different sorts of formalizations. The book develops a unique automated proof style and applies it throughout; even experienced Coq users may benefit from reading about basic Coq concepts from this novel perspective. The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book. All of the code appearing in the book is freely available online.

Syntactic Structures

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112316002
Total Pages : 120 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Syntactic Structures by : Noam Chomsky

Download or read book Syntactic Structures written by Noam Chomsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Syntactic Structures".

The Semantics of Programming Languages

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Publisher :
ISBN 13 : 9780783763811
Total Pages : 157 pages
Book Rating : 4.7/5 (638 download)

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Book Synopsis The Semantics of Programming Languages by : Matthew Hennessy

Download or read book The Semantics of Programming Languages written by Matthew Hennessy and published by . This book was released on 1990 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semantics of Programming Languages

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Publisher : MIT Press
ISBN 13 : 9780262570954
Total Pages : 450 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis Semantics of Programming Languages by : Carl A. Gunter

Download or read book Semantics of Programming Languages written by Carl A. Gunter and published by MIT Press. This book was released on 1992 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semantics of Programming Languages exposes the basic motivations and philosophy underlying the applications of semantic techniques in computer science. It introduces the mathematical theory of programming languages with an emphasis on higher-order functions and type systems. Designed as a text for upper-level and graduate-level students, the mathematically sophisticated approach will also prove useful to professionals who want an easily referenced description of fundamental results and calculi. Basic connections between computational behavior, denotational semantics, and the equational logic of functional programs are thoroughly and rigorously developed. Topics covered include models of types, operational semantics, category theory, domain theory, fixed point (denotational). semantics, full abstraction and other semantic correspondence criteria, types and evaluation, type checking and inference, parametric polymorphism, and subtyping. All topics are treated clearly and in depth, with complete proofs for the major results and numerous exercises.

Inductive Semantics and Syntax

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Publisher : Hague : Mouton
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Inductive Semantics and Syntax by : Leon Zawadowski

Download or read book Inductive Semantics and Syntax written by Leon Zawadowski and published by Hague : Mouton. This book was released on 1975 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Inductive Semantics and Syntax".

Algol-like Languages

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Publisher : Springer Science & Business Media
ISBN 13 : 147573851X
Total Pages : 345 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Algol-like Languages by : Peter O'Hearn

Download or read book Algol-like Languages written by Peter O'Hearn and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: To construct a compiler for a modern higher-level programming languagel one needs to structure the translation to a machine-like intermediate language in a way that reflects the semantics of the language. little is said about such struc turing in compiler texts that are intended to cover a wide variety of program ming languages. More is said in the Iiterature on semantics-directed compiler construction [1] but here too the viewpoint is very general (though limited to 1 languages with a finite number of syntactic types). On the other handl there is a considerable body of work using the continuation-passing transformation to structure compilers for the specific case of call-by-value languages such as SCHEME and ML [21 3]. ln this paperl we will describe a method of structuring the translation of ALGOL-like languages that is based on the functor-category semantics devel oped by Reynolds [4] and Oles [51 6]. An alternative approach using category theory to structure compilers is the early work of F. L. Morris [7]1 which anticipates our treatment of boolean expressionsl but does not deal with procedures. 2 Types and Syntax An ALGOL-like language is a typed lambda calculus with an unusual repertoire of primitive types. Throughout most of this paper we assume that the primi tive types are comm(and) int(eger)exp(ression) int(eger)acc(eptor) int(eger)var(iable) I and that the set 8 of types is the least set containing these primitive types and closed under the binary operation -.

Mathematical Foundations of Advanced Informatics

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Publisher : Springer
ISBN 13 : 3319683977
Total Pages : 249 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Mathematical Foundations of Advanced Informatics by : Bernhard Steffen

Download or read book Mathematical Foundations of Advanced Informatics written by Bernhard Steffen and published by Springer. This book was released on 2018-03-20 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The books in this trilogy capture the foundational core of advanced informatics. The authors make the foundations accessible, enabling students to become effective problem solvers. This first volume establishes the inductive approach as a fundamental principle for system and domain analysis. After a brief introduction to the elementary mathematical structures, such as sets, propositional logic, relations, and functions, the authors focus on the separation between syntax (representation) and semantics (meaning), and on the advantages of the consistent and persistent use of inductive definitions. They identify compositionality as a feature that not only acts as a foundation for algebraic proofs but also as a key for more general scalability of modeling and analysis. A core principle throughout is invariance, which the authors consider a key for the mastery of change, whether in the form of extensions, transformations, or abstractions. This textbook is suitable for undergraduate and graduate courses in computer science and for self-study. Most chapters contain exercises and the content has been class-tested over many years in various universities.

Induction, Algorithmic Learning Theory, and Philosophy

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Publisher : Springer Science & Business Media
ISBN 13 : 1402061277
Total Pages : 296 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Induction, Algorithmic Learning Theory, and Philosophy by : Michèle Friend

Download or read book Induction, Algorithmic Learning Theory, and Philosophy written by Michèle Friend and published by Springer Science & Business Media. This book was released on 2007-08-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to collect essays from philosophers, mathematicians and computer scientists working at the exciting interface of algorithmic learning theory and the epistemology of science and inductive inference. Readable, introductory essays provide engaging surveys of different, complementary, and mutually inspiring approaches to the topic, both from a philosophical and a mathematical viewpoint.

Syntax

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Publisher : Cambridge University Press
ISBN 13 : 9780521499156
Total Pages : 744 pages
Book Rating : 4.4/5 (991 download)

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Book Synopsis Syntax by : Robert D. Van Valin (Jr.)

Download or read book Syntax written by Robert D. Van Valin (Jr.) and published by Cambridge University Press. This book was released on 1997-12-11 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to syntactic theory and analysis.

Inductive Logic Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 3540005676
Total Pages : 361 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Inductive Logic Programming by : Stan Matwin

Download or read book Inductive Logic Programming written by Stan Matwin and published by Springer Science & Business Media. This book was released on 2003-02-12 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 12th International Conference on Inductive Logic Programming, ILP 2002, held in Sydney, Australia in July 2002. The 22 revised full papers presented were carefully selected during two rounds of reviewing and revision from 45 submissions. Among the topics addressed are first order decision lists, learning with description logics, bagging in ILP, kernel methods, concept learning, relational learners, description logic programs, Bayesian classifiers, knowledge discovery, data mining, logical sequences, theory learning, stochastic logic programs, machine discovery, and relational pattern discovery.

The Implications of Induction

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Publisher : Routledge
ISBN 13 : 1000735001
Total Pages : 261 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis The Implications of Induction by : L. Jonathan Cohen

Download or read book The Implications of Induction written by L. Jonathan Cohen and published by Routledge. This book was released on 2019-10-30 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1973. This book presents a valid mode of reasoning that is different to mathematical probability. This inductive logic is investigated in terms of scientific investigation. The author presents his criteria of adequacy for analysing inductive support for hypotheses and discusses each of these criteria in depth. The chapters cover philosophical problems and paradoxes about experimental support, probability and justifiability, ending with a system of logical syntax of induction. Each section begins with a summary of its contents and there is a glossary of technical terms to aid the reader.

Formal Description of Programming Concepts

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540539612
Total Pages : 532 pages
Book Rating : 4.5/5 (396 download)

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Book Synopsis Formal Description of Programming Concepts by : Erich Neuhold

Download or read book Formal Description of Programming Concepts written by Erich Neuhold and published by Springer Science & Business Media. This book was released on 1991-10-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: In software engineering there is a growing need for formalization as a basis for developing powerful computer assisted methods. This volume contains seven extensive lectures prepared for a series of IFIP seminars on the Formal Description of Programming Concepts. The authors are experts in their fields and have contributed substantially to the state of the art in numerous publications. The lectures cover a wide range in the theoretical foundations of programming and give an up-to-date account of the semantic models and the related tools which have been developed in order to allow a rigorous discussion of the problems met in the construction of correct programs. In particular, methods for the specification and transformation of programs are considered in detail. One lecture is devoted to the formalization of concurrency and distributed systems and reflects their great importance in programming. Further topics are the verification of programs and the use of sophisticated type systems in programming. This compendium on the theoretical foundations of programming is also suitable as a textbook for special seminars on different aspects of this broad subject.

Elements of Formal Semantics

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Publisher : Edinburgh University Press
ISBN 13 : 0748677771
Total Pages : 272 pages
Book Rating : 4.7/5 (486 download)

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Book Synopsis Elements of Formal Semantics by : Yoad Winter

Download or read book Elements of Formal Semantics written by Yoad Winter and published by Edinburgh University Press. This book was released on 2016-04-08 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing some of the foundational concepts, principles and techniques in the formal semantics of natural language, Elements of Formal Semantics outlines the mathematical principles that underlie linguistic meaning. Making use of a wide range of concrete English examples, the book presents the most useful tools and concepts of formal semantics in an accessible style and includes a variety of practical exercises so that readers can learn to utilise these tools effectively. For readers with an elementary background in set theory and linguistics or with an interest in mathematical modelling, this fascinating study is an ideal introduction to natural language semantics. Designed as a quick yet thorough introduction to one of the most vibrant areas of research in modern linguistics today this volume reveals the beauty and elegance of the mathematical study of meaning.

Types and Programming Languages

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Publisher : MIT Press
ISBN 13 : 9780262162098
Total Pages : 656 pages
Book Rating : 4.1/5 (62 download)

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Book Synopsis Types and Programming Languages by : Benjamin C. Pierce

Download or read book Types and Programming Languages written by Benjamin C. Pierce and published by MIT Press. This book was released on 2002-01-04 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to type systems and programming languages. A type system is a syntactic method for automatically checking the absence of certain erroneous behaviors by classifying program phrases according to the kinds of values they compute. The study of type systems—and of programming languages from a type-theoretic perspective—has important applications in software engineering, language design, high-performance compilers, and security. This text provides a comprehensive introduction both to type systems in computer science and to the basic theory of programming languages. The approach is pragmatic and operational; each new concept is motivated by programming examples and the more theoretical sections are driven by the needs of implementations. Each chapter is accompanied by numerous exercises and solutions, as well as a running implementation, available via the Web. Dependencies between chapters are explicitly identified, allowing readers to choose a variety of paths through the material. The core topics include the untyped lambda-calculus, simple type systems, type reconstruction, universal and existential polymorphism, subtyping, bounded quantification, recursive types, kinds, and type operators. Extended case studies develop a variety of approaches to modeling the features of object-oriented languages.