Abstract
Not only monotonicity, but also other homomorphism properties of predicate transformers turn out to be important in modeling programming constructs. In this chapter we study homomorphic predicate transformers, i.e., predicate transformers that preserve some of the predicate lattice structure. We consider the four basic homomorphism properties — bottom, top, meet, and join homomorphism — to see to what extent the constructs in our statement language preserve these properties. These homomorphism properties are closely linked to distributivity properties of statements.
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© 1998 Springer Science+Business Media New York
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Back, RJ., von Wright, J. (1998). Subclasses of Statements. In: Refinement Calculus. Graduate Texts in Computer Science. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1674-2_16
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DOI: https://doi.org/10.1007/978-1-4612-1674-2_16
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98417-9
Online ISBN: 978-1-4612-1674-2
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