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Denotational Semantics A Methodology for Language Development 1st editon by David Schmidt 0697068498 978-0697068491

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Denotational Semantics A Methodology for Language Development David A. Schmidt Digital Instant Download

Author(s): David A. Schmidt
ISBN(s): 9780697068491, 0697068498
Edition: free web version
File Details: PDF, 1.13 MB
Year: 2009
Language: english
SKU: EB-6749028 Categories: , Tag:

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ISBN 10: 0697068498
ISBN 13: 978-0697068491
Author: David A. Schmidt

Denotational semantics is a methodology for giving mathematical meaning to programming languages and systems. It was developed by Christopher Strachey’s Programming Research Group at Oxford University in the 1960s. The method combines mathematical rigor, due to the work of Dana Scott, with notational elegance, due to Strachey. Originally used as an analysis tool, denotational semantics has grown in use as a tool for language design and implementation. This book was written to make denotational semantics accessible to a wider audience and to update existing texts in the area. It presents the topic from an engineering viewpoint, emphasizing the descriptional and implementational aspects. The relevant mathematics is also included, for it gives rigor and validity to the method and provides a foundation for further research.

Denotational Semantics A Methodology for Language Development 1st Table of contents:

Chapter 0

INTRODUCTION

Methods for Semantics Specification 2

Suggested Readings 3

Chapter 1

SYNTAX

1.1 Abstract Syntax Definitions 9

1.2 Mathematical and Structural Induction 12

Suggested Readings 15

Exercises 15

Chapter 2

SETS, FUNCTIONS, AND DOMAINS

2.1 Sets 17

2.1.1 Constructions on Sets 18

2.2 Functions 20

2.2.1 Representing Functions as Sets 21

Representing Functions as Equations 24

2.3 Semantic Domains 25

2.3.1 Semantic Algebras 25

Suggested Readings 27

Exercises 27

Chapter 3

DOMAIN THEORY I: SEMANTIC ALGEBRAS

3.1 Primitive Domains 30

3.2 Compound Domains 34

3.2.1 Product 34

3.2.2 Disjoint Union 35

3.2.3 Function Space 39

3.2.4 Lifted Domains and Strictness 42

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