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Undecidability and Concatenation

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We consider the problem stated by Andrzej Grzegorczyk in “Undecidability without arithmetization” (Studia Logica 79 (2005)) whether certain weak theory of concatenation is essentially undecidable. We give a positive answer for this problem.
Title: Undecidability and Concatenation
Description:
We consider the problem stated by Andrzej Grzegorczyk in “Undecidability without arithmetization” (Studia Logica 79 (2005)) whether certain weak theory of concatenation is essentially undecidable.
We give a positive answer for this problem.

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