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Lattice-valued Scott topology on dcpos

Published online by Cambridge University Press:  18 May 2015

WEI YAO
WEI YAO*
Affiliation:
Department of Mathematics, Hebei University of Science and Technology, Shijizhuang 050018, P.R. China Email: yaowei0516@163.com
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Abstract

This paper studies the fuzzy Scott topology on dcpos with a *-continuous semigroup (L, *) as the truth value table. It is shown that the fuzzy Scott topological space on a continuous dcpo is an ιL-sober space. The fuzzy Scott topology is completely distributive iff L is completely distributive and the underlying dcpo is continuous. For (L, *) being an integral quantale, semantics of L-possibility of computations is studied by means of a duality.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 27 , Special Issue 4: Symposium on Domain Theory (ISDT 2013) , May 2017 , pp. 516 - 529
Copyright
Copyright © Cambridge University Press 2015 

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