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F. Lengyel

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Preprint Sep 2026

Pointwise provable equality and the failure of composition

In their studies of pathologies in recursion categories, Montagna (1989) and Di Paola--Montagna (1991) introduce the algebraic systems $S'$ and $S'_T$, respectively, and claim that they are categories. We show that the proposed composition is not independent of the choice of representatives. For every consistent recurs...

F. Lengyel · 0 citations

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