A Practical Introduction to Denotational Semantics

A Practical Introduction to Denotational Semantics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 132

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Book Description

A Practical Introduction to Denotational Semantics

A Practical Introduction to Denotational Semantics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 132

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Book Description


A Practical Introduction to Denotational Semantics

A Practical Introduction to Denotational Semantics PDF Author: Lloyd Allison
Publisher: Cambridge University Press
ISBN: 9780521314237
Category : Computers
Languages : en
Pages : 150

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Book Description
Basics - Notation - Lattices - A simple language - Direct semantics - Control - Data structures and data types - A prolog semantics - Miscellaneous.

The Denotational Description of Programming Languages

The Denotational Description of Programming Languages PDF Author: M.J.C. Gordon
Publisher: Springer Science & Business Media
ISBN: 1461262283
Category : Computers
Languages : en
Pages : 168

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Book Description
This book explains how to formally describe programming languages using the techniques of denotational semantics. The presentation is designed primarily for computer science students rather than for (say) mathematicians. No knowledge of the theory of computation is required, but it would help to have some acquaintance with high level programming languages. The selection of material is based on an undergraduate semantics course taught at Edinburgh University for the last few years. Enough descriptive techniques are covered to handle all of ALGOL 50, PASCAL and other similar languages. Denotational semantics combines a powerful and lucid descriptive notation (due mainly to Strachey) with an elegant and rigorous theory (due to Scott). This book provides an introduction to the descriptive techniques without going into the background mathematics at all. In some ways this is very unsatisfactory; reliable reasoning about semantics (e. g. correctness proofs) cannot be done without knowing the underlying model and so learning semantic notation without its model theory could be argued to be pointless. My own feeling is that there is plenty to be gained from acquiring a purely intuitive understanding of semantic concepts together with manipulative competence in the notation. For these equip one with a powerful conceptua1 framework-a framework enabling one to visualize languages and constructs in an elegant and machine-independent way. Perhaps a good analogy is with calculus: for many practical purposes (e. g. engineering calculations) an intuitive understanding of how to differentiate and integrate is all that is needed.

The Formal Semantics of Programming Languages

The Formal Semantics of Programming Languages PDF Author: Glynn Winskel
Publisher: MIT Press
ISBN: 9780262731034
Category : Computers
Languages : en
Pages : 388

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Book Description
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.

Formal Description of Programming Concepts

Formal Description of Programming Concepts PDF Author: Erich Neuhold
Publisher: Springer Science & Business Media
ISBN: 9783540539612
Category : Computers
Languages : en
Pages : 532

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Book Description
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.

Mathematical Foundations of Computer Science 1996

Mathematical Foundations of Computer Science 1996 PDF Author: Wojciech Penczek
Publisher: Springer Science & Business Media
ISBN: 9783540615507
Category : Computers
Languages : en
Pages : 614

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Book Description
This book constitutes the refereed proceedings of the 21st International Symposium on Mathematical Foundations of Computer Science, MFCS '96, held in Crakow, Poland in September 1996. The volume presents 35 revised full papers selected from a total of 95 submissions together with 8 invited papers and 2 abstracts of invited talks. The papers included cover issues from the whole area of theoretical computer science, with a certain emphasis on mathematical and logical foundations. The 10 invited presentations are of particular value.

Computational Semantics

Computational Semantics PDF Author: George Dekoulis
Publisher: BoD – Books on Demand
ISBN: 1837684650
Category : Computers
Languages : en
Pages : 164

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Book Description
This book analyzes the application of computer science and artificial intelligence (AI) techniques in the semantics’ analysis for linguistics, classical studies, and philosophy. Similar techniques can be implemented to incorporate the fields of education, psychology, humanities, law, maritime, data science and business intelligence. The book is suitable for the broader audience interested in the emerging scientific field of formal and Natural Language Processing (NLP). The significance of incorporating all aspects of logic design right at the beginning of the creation of a new NLP system is emphasized and analyzed throughout the book. NLP and AI systems offer an unprecedented set of virtues to society. However, the principles of ethical logic design and operation of primitive to deep learning NLP products must be considered in the future, even via the preparation of legislation if needed. As law applications are already taking advantage of the techniques mentioned, the manufacturers should apply the laws and the possible knowledge development of the NLP products could even be monitored after sales. This will minimize the drawbacks of implementing such intelligent technological solutions. NLP systems are a digital representation of ourselves and may even interact with each other in the future. Learning from them is also a way to improve ourselves.

Logic and Algebra of Specification

Logic and Algebra of Specification PDF Author: Friedrich L. Bauer
Publisher: Springer Science & Business Media
ISBN: 3642580416
Category : Computers
Languages : en
Pages : 449

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Book Description
For some years, specification of software and hardware systems has been influenced not only by algebraic methods but also by new developments in logic. These new developments in logic are partly based on the use of algorithmic techniques in deduction and proving methods, but are alsodue to new theoretical advances, to a great extent stimulated by computer science, which have led to new types of logic and new logical calculi. The new techniques, methods and tools from logic, combined with algebra-based ones, offer very powerful and useful tools for the computer scientist, which may soon become practical for commercial use, where, in particular, more powerful specification tools are needed for concurrent and distributed systems. This volume contains papers based on lectures by leading researchers which were originally given at an international summer school held in Marktoberdorf in 1991. The papers aim to give a foundation for combining logic and algebra for the purposes of specification under the aspects of automated deduction, proving techniques, concurrency and logic, abstract data types and operational semantics, and constructive methods.

Evolution of Semantic Systems

Evolution of Semantic Systems PDF Author: Bernd-Olaf Küppers
Publisher: Springer Science & Business Media
ISBN: 3642349978
Category : Computers
Languages : en
Pages : 242

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Book Description
Complex systems in nature and society make use of information for the development of their internal organization and the control of their functional mechanisms. Alongside technical aspects of storing, transmitting and processing information, the various semantic aspects of information, such as meaning, sense, reference and function, play a decisive part in the analysis of such systems. With the aim of fostering a better understanding of semantic systems from an evolutionary and multidisciplinary perspective, this volume collects contributions by philosophers and natural scientists, linguists, information and computer scientists. They do not follow a single research paradigm; rather they shed, in a complementary way, new light upon some of the most important aspects of the evolution of semantic systems. Evolution of Semantic Systems is intended for researchers in philosophy, computer science, and the natural sciences who work on the analysis or development of semantic systems, ontologies, or similar complex information structures. In the eleven chapters, they will find a broad discussion of topics ranging from underlying universal principles to representation and processing aspects to paradigmatic examples.

Transitions and Trees

Transitions and Trees PDF Author: Hans Hüttel
Publisher: Cambridge University Press
ISBN: 1139788590
Category : Computers
Languages : en
Pages : 291

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Book Description
Structural operational semantics is a simple, yet powerful mathematical theory for describing the behaviour of programs in an implementation-independent manner. This book provides a self-contained introduction to structural operational semantics, featuring semantic definitions using big-step and small-step semantics of many standard programming language constructs, including control structures, structured declarations and objects, parameter mechanisms and procedural abstraction, concurrency, nondeterminism and the features of functional programming languages. Along the way, the text introduces and applies the relevant proof techniques, including forms of induction and notions of semantic equivalence (including bisimilarity). Thoroughly class-tested, this book has evolved from lecture notes used by the author over a 10-year period at Aalborg University to teach undergraduate and graduate students. The result is a thorough introduction that makes the subject clear to students and computing professionals without sacrificing its rigour. No experience with any specific programming language is required.