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On the Finitization Problem
by
Gábor Sági
Rényi Institute, Budapest H-1053 Reáltanoda u. 13-15, Hungary
The Finitization Problem of Algebraic Logic is one of the central
problems of the field which was discussed e.g. by Tarski, Givant, Monk,
Maddux, Andréka, Németi and others.
The algebraic form of the problem can be formulated as follows. "Is it
possible to find a class K of algebras of relations such that K is
finitely axiomatizable, every operation of K is permutation invariant
and the usual connectives of First Order Logic are term definable in
K ?"
We will present some recently obtained results related to different
variants and special cases of the Finitization Problem.
Date received: July 7, 2004
Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caoc-18.