[top ][top ]-closed relations and admissibility
- 1 April 2000
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Structures in Computer Science
- Vol. 10 (3) , 313-320
- https://doi.org/10.1017/s0960129500003054
Abstract
While developing a method for reasoning about programs, Pitts defined the [top ][top ]-closed relations as an alternative to the standard admissible relations. This paper reformulates and studies Pitts's operational concept of [top ][top ]-closure in a semantic framework. It investigates the non-trivial connection between [top ][top ]-closure and admissibility, showing that [top ][top ]-closure is strictly stronger than admissibility and that every [top ][top ]-closed relation corresponds to an admissible preorder.Keywords
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