Abstract
In this paper continuity for abstract semantics defined for lattices is generalized to the case of bc-domains, an equivalent characterization for semantics being continuous is given. Relation between continuity and compactness is given. Finally, application to fuzzy logic is discussed.
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References
S. Abramsky and A. Jung, Domain Theory, In Handbook of Logic in Computer Science, Vol. 3, 1–168, Oxford University Press, 1996.
R. Engelking, General Topology, Warzawa, 1977.
G. Gerla, Fuzzy Logic, Preprint, University of Salerno, 1999
G. Gierz A Compendium of Continuous Lattices Springer-Verlag,1980.
J. A. Goguen, The Logic of Inexact ConceptsSynthese, 19(1968), 325–375.
G. J. Wang, Theory of Granular lattices and itsapplications, Computers and Mathematics with applications, Vol. 39(12), 1–9.
L. A. Zadeh, Fuzzy Sets, Information and Control, 12(1965), 338–353.
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Fan, Th., Wang, GJ. (2001). Compact Semantics on BC-Domains. In: Keimel, K., Zhang, GQ., Liu, YM., Chen, YX. (eds) Domains and Processes. Semantic Structures in Computation, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0654-5_7
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DOI: https://doi.org/10.1007/978-94-010-0654-5_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3859-1
Online ISBN: 978-94-010-0654-5
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