Comparative Metric Semantics of Programming Languages

Nondeterminism and Recursion

Franck van Breughel (Autor)

Buch | Softcover

220 Seiten

2011
Springer-Verlag New York Inc.
978-1-4612-8680-6 (ISBN)

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During the last three decades several different styles of semantics for program ming languages have been developed. Besides non determinism our four example languages contain some form of recursion, a key ingredient of programming languages.

During the last three decades several different styles of semantics for program ming languages have been developed. This book compares two of them: the operational and the denotational approach. On the basis of several exam ples we show how to define operational and denotational semantic models for programming languages. Furthermore, we introduce a general technique for comparing various semantic models for a given language. We focus on different degrees of nondeterminism in programming lan guages. Nondeterminism arises naturally in concurrent languages. It is also an important concept in specification languages. In the examples discussed, the degree of non determinism ranges from a choice between two alternatives to a choice between a collection of alternatives indexed by a closed interval of the real numbers. The former arises in a language with nondeterministic choices. A real time language with dense choices gives rise to the latter. We also consider the nondeterministic random assignment and parallel composition, both couched in a simple language. Besides non determinism our four example languages contain some form of recursion, a key ingredient of programming languages.

Nondeterminism and recursion.- Operational semantics.- Denotational semantics.- Metric spaces.- Comparative semantics.- Bibliographic notes.- I.- 1 Domain equations.- 2 Linear and branching domains.- II.- 3 Operational semantics.- 4 Nondeterministic choice.- 5 Random assignment.- III.- 6 Generalized finiteness conditions.- 7 Dense choice.- 8 Second order communication.- A Metric spaces.- A.1 Metrics.- A.2 Completeness and contractiveness.- A.3 Hyperspaces.- A.4 Nonexpansive functions.- A.5 Bibliographic notes.- Author index.

Reihe/Serie	Progress in Theoretical Computer Science
Zusatzinfo	XX, 220 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Programmiersprachen / -werkzeuge
	Informatik ► Theorie / Studium ► Algorithmen
	Informatik ► Theorie / Studium ► Compilerbau
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	1-4612-8680-8 / 1461286808
ISBN-13	978-1-4612-8680-6 / 9781461286806
Zustand	Neuware