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Electronic Notes in Theoretical Computer Science
Volume 202, 21 March 2008, Pages 191-200
Proceedings of the Fourth International Conference on Computability and Complexity in Analysis (CCA 2007)
 
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doi:10.1016/j.entcs.2008.03.015    
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Copyright © 2008 Elsevier B.V. All rights reserved.

Supermetrics over Apartness Lattice-Ordered Semigroup1

Gabriel Ciobanua, E-mail The Corresponding Author and Dănuţ Rusub, E-mail The Corresponding Author

a“A.I. Cuza” University, Faculty of Computer Science, 700506 Iaşi, Romania

b“A.I. Cuza” University, Faculty of Mathematics, 700506 Iaşi, Romania


Available online 20 March 2008.

Abstract

We define the notion of supermetrics over apartness lattice-ordered semigroups, present the relationship between supermetrics and additive functions, and prove several conditions of metric completeness.

Keywords: set-set apartness; lattice-ordered semigroup; metrics; completion

References

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G. Ciobanu and D. Rusu, Algebraic and Topological Properties of Apartness Lattice-Ordered Semigroups, Journal for Multiple-Valued Logic and Soft Computing 12 (2006), pp. 249–274. View Record in Scopus | Cited By in Scopus (1)

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1Research partially supported by CEEX Grant no.133/2006


Electronic Notes in Theoretical Computer Science
Volume 202, 21 March 2008, Pages 191-200
Proceedings of the Fourth International Conference on Computability and Complexity in Analysis (CCA 2007)
 
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