Logics which capture complexity classes over the reals

Journal of Symbolic Logic 64 (1):363-390 (1999)
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Abstract

In 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 R , PAR R , EXP R and some others more

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Finite Model Theory.Heinz-Dieter Ebbinghaus & Torg Flum - 1997 - Studia Logica 58 (2):332-335.

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