An algebraic construction of predicate transformers (Q1330446)
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scientific article; zbMATH DE number 609578
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An algebraic construction of predicate transformers |
scientific article; zbMATH DE number 609578 |
Statements
An algebraic construction of predicate transformers (English)
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19 February 1995
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The paper deals with the assignments \[ C \mapsto \text{Map} C, \quad C \mapsto \text{Span} C \] for certain preorder-enriched categories [cf. \textit{A. Carboni}, \textit{S. Kasangian} and \textit{R. Street}, ``Bicategories of spans and relations'', J. Pure Appl. Algebra 33, 259-267 (1984; Zbl 0577.18005)] and gives conditions for these operators to be inverse to each other. Several applications as indicated by the title are presented in detail.
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order-enriched category
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span
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map
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pullover
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monotonic predicate transformer
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