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Effectivity and effective continuity of multifunctions
2010
Journal of Symbolic Logic (JSL)
If one wants to compute with infinite objects like real numbers or data streams, continuity is a necessary requirement: better and better (finite) approximations of the input are transformed into better and better (finite) approximations of the output. In case the objects are constructively generated, they can be represented by a finite description of the generating procedure. By effectively transforming such descriptions for the generation of the input (respectively, their codes) into (the
doi:10.2178/jsl/1268917496
fatcat:pkwzxy3x65ejlcy7uanziyvwxu