Power domains and predicate transformers: A topological view

Author(s):  
M. B. Smyth
Order ◽  
2019 ◽  
Vol 37 (2) ◽  
pp. 319-339
Author(s):  
Oleh Nykyforchyn ◽  
Oksana Mykytsey

Abstract Crisp and lattice-valued ambiguous representations of one continuous semilattice in another one are introduced and operation of taking pseudo-inverse of the above relations is defined. It is shown that continuous semilattices and their ambiguous representations, for which taking pseudo-inverse is involutive, form categories. Self-dualities and contravariant equivalences for these categories are obtained. Possible interpretations and applications to processing of imperfect information are discussed.


2003 ◽  
Vol 150 (2) ◽  
pp. 85 ◽  
Author(s):  
A.L.C. Cavalcanti ◽  
J.C.P. Woodcock

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