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math.LO2021
Weak Essentially Undecidable Theories of Concatenation II
Juvenal Murwanashyaka
We show that we can interpret concatenation theories in arithmetical theories without coding sequences.
math.LO2021
Undecidability in First-Order Theories of Term Algebras Extended with a Substitution Operator
Juvenal Murwanashyaka
We introduce a first-order theory of finite full binary trees and then identify decidable and undecidable fragments of this theory. We show that the analogue of Hilbert`s 10th Prob…