On the Complexity of the Theories of Weak Direct Products

Let N be the set of nonnegative integers and let < N ,+> be the weak direct product of < N,+> with itself. Mostowski[ 9 ] shows that the theory of < N ,*> is decidable, but his decision procedure isn't elementary recursive. We present here a more efficient procedure which oper...

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Bibliographic Details
Main Author: Rackoff, Charles
Published: 2023
Online Access:https://hdl.handle.net/1721.1/148871