Series: Penn State Logic Seminar Date: Tuesday, November 21, 2000 Time: 2:30 - 3:20 PM Place: 307 Boucke Building Speaker: Stephen G. Simpson, Department of Mathematics, Penn State Title: Undecidable Algebraic Theories, Part 3 Abstract: In an earlier seminar we showed that the theory of one finite binary relation is hereditarily undecidable. This is closely related to the Trakhtenbrot-Vaught theorem. From this we deduce that the theories of finite graphs, finite distributive lattices, finite commutative rings, and finite groups are hereditarily undecidable.