Monographs in Computer Science

Predicate Calculus and Program Semantics

Authors: Dijkstra, Edsger W., Scholten, Carel S.

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  • ISBN 978-1-4612-3228-5
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About this Textbook

This booklet presents a reasonably self-contained theory of predicate trans­ former semantics. Predicate transformers were introduced by one of us (EWD) as a means for defining programming language semantics in a way that would directly support the systematic development of programs from their formal specifications. They met their original goal, but as time went on and program derivation became a more and more formal activity, their informal introduction and the fact that many of their properties had never been proved became more and more unsatisfactory. And so did the original exclusion of unbounded nondeterminacy. In 1982 we started to remedy these shortcomings. This little monograph is a result of that work. A possible -and even likely- criticism is that anyone sufficiently versed in lattice theory can easily derive all of our results himself. That criticism would be correct but somewhat beside the point. The first remark is that the average book on lattice theory is several times fatter (and probably less self­ contained) than this booklet. The second remark is that the predicate transformer semantics provided only one of the reasons for going through the pains of publication.

Table of contents (12 chapters)

  • On structures

    Dijkstra, Edsger W. (et al.)

    Pages 1-9

  • On substitution and replacement

    Dijkstra, Edsger W. (et al.)

    Pages 11-16

  • On functions and equality

    Dijkstra, Edsger W. (et al.)

    Pages 17-20

  • On our proof format

    Dijkstra, Edsger W. (et al.)

    Pages 21-29

  • The calculus of boolean structures

    Dijkstra, Edsger W. (et al.)

    Pages 30-80

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4612-3228-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-1-4612-7924-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Predicate Calculus and Program Semantics
Authors
Series Title
Monographs in Computer Science
Copyright
1990
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4612-3228-5
DOI
10.1007/978-1-4612-3228-5
Softcover ISBN
978-1-4612-7924-2
Series ISSN
0172-603X
Edition Number
1
Number of Pages
XI, 220
Topics