Predicate Transformer Semantics

Cambridge Tracts in Theoretical Computer Science

by Ernest G. Manes

A central problem in the design of programming systems is to provide methods for verifying that computer code performs to specification. This book presents a rigorous foundation for defining Boolean categories, in which the relationship between specification and behaviour can be explored. Boolean categories provide a rich interface between program constructs and techniques familiar from algebra, for instance matrix- or ideal-theoretic methods. The book's distinction is that the approach relies on only a single program construct (the first-order theory of categories), the others being derived mathematically from four axioms. Development of these axioms (which are obeyed by an abundance of program paradigms) yields Boolean algebras of 'predicates', loop-free constructs, and a calculus of partial and total correctness which is shown to be the standard one of Hoare, Dijkstra, Pratt, and Kozen. The book is based in part on courses taught by the author, and will appeal to graduate students and researchers in theoretical computer science.

233 pages, Hardcover

First published August 28, 1992

Reviews

[Carter · Rating 3 out of 5]

I only skimmed this title to get a sense of what it was about. Seems to be a book on boolean categories(categories as in category theory) more so than a book on predicate transformers so the title is a bit misleading. Since I was interested in the notion of predicate transformers (there is one chapter that mentions Hoare Logic) I was a bit disappointed. Fortunately it didn't cost me much.