Coinduction for recursive data types: Partial orders, metric spaces and Ω-categories
In this paper we prove coinduction theorems for final coalgebras of endofunctors on categories of partial orders and (generalized) metric spaces. These results characterize the order, respectively the metric, on a final coalgebra as maximum amongst all simulations. As suggested in [15], and motivate...
Hovedforfatter: | Worrell, J |
---|---|
Format: | Journal article |
Sprog: | English |
Udgivet: |
2000
|
Lignende værker
-
General Recursion via Coinductive Types
af: Venanzio Capretta
Udgivet: (2005-07-01) -
Unguarded Recursion on Coinductive Resumptions
af: Sergey Goncharov, et al.
Udgivet: (2018-08-01) -
Applications of Metric Coinduction
af: Dexter Kozen, et al.
Udgivet: (2009-09-01) -
The Guarded Lambda-Calculus: Programming and Reasoning with Guarded Recursion for Coinductive Types
af: Ranald Clouston, et al.
Udgivet: (2017-04-01) -
Recursively defined metric spaces without contraction
af: van Breugel, F, et al.
Udgivet: (2007)