Weak Monadic Second Order Theory of Successor is not Element-recurive

Let L SIS be the set of formulas expressible in a week monadic second order logic using only the predicates [x =y+1] and [x E z]. Bucci and Elgot [3,4] have shown that the truth of sentences in L SIS (under the standard interpretation < N, successor > with second order variables interpreted as...

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Bibliographic Details
Main Author: Meyer, Albert R.
Published: 2023
Online Access:https://hdl.handle.net/1721.1/148867