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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