The decision problem for standard classes

@article{Gurevich1976TheDP,
title={The decision problem for standard classes},
author={Yuri Gurevich},
journal={Journal of Symbolic Logic},
year={1976},
volume={41},
pages={460 - 464}
}
• Y. Gurevich
• Published 1 June 1976
• Mathematics
• Journal of Symbolic Logic
The standard classes of a first-order theory T are certain classes of prenex T-sentences defined by restrictions on prefix, number of monadic, dyadic, etc. predicate variables, and number of monadic, dyadic, etc. operation variables. In [3] it is shown that, for any theory T, (1) the decision problem for any class of prenex T-sentences specified by such restrictions reduces to that for the standard classes, and (2) there are finitely many standard classes K 1, …, Kn such that any undecidable…
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