Computable operators on regular sets

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For regular sets in Euclidean space, previous work has identified twelve 'basic' computability notions to (pairs of) which many previous notions considered in literature were shown to be equivalent. With respect to those basic notions we now investigate on the computability of natural operations on regular sets: union, intersection, complement, convex hull, image, and pre-image under suitable classes of functions. It turns out that only few of these notions are suitable in the sense of rendering all those operations uniformly computable. (C) 2004 WILEY-VCH Vertag GmbH Co. KGaA, Weinheim.
Publisher
WILEY-V C H VERLAG GMBH
Issue Date
2004
Language
English
Article Type
Article; Proceedings Paper
Keywords

EUCLIDEAN-SPACE; SUBSETS

Citation

MATHEMATICAL LOGIC QUARTERLY, v.50, no.4-5, pp.392 - 404

ISSN
0942-5616
DOI
10.1002/malq.200310107
URI
http://hdl.handle.net/10203/203405
Appears in Collection
CS-Journal Papers(저널논문)
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