Technical Report CS0785

TR#:CS0785
Class:CS
Title: ORACLES AND QUANTIFIERS.
Authors: J.A. Makowsky and Y.B. Pnueli
PDFCS0785.pdf
Abstract:

We describe a general way of building logics with Lindstrom quantifiers which capture complexity classes based on oracle Turing machines. Our approach is sensitive to the oracle computation model. Our results hold for the unbounded model introduced by Buss in support of his `relativization thesis'. They do not hold for the nondeterministic and alternating oracle computations studied by Ladner and Lynch, Simon and Ruzzo, Simon and Tompa. Our results generalize and extend previous results of Stewart and Makowsky and Pnueli.

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