Logics which capture complexity classes over the reals

Author:

Cucker Felipe,Meer Klaus

Abstract

AbstractIn this paper we deal with the logical description of complexity classes arising in the real number model of computation introduced by Blum, Shub, and Smale [4]. We adapt the approach of descriptive complexity theory for this model developped in [14] and extend it to capture some further complexity classes over the reals by logical means. Among the latter we find NC, PAR, EXP and some others more.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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