On some subtheories of strong dependent choice
Autor: | Aguilera, Juan P., Suzuki, Yudai, Yokoyama, Keita |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | In this paper, we give characterizations of the set of $\Pi^1_{e}$-consequences, $\Sigma^1_{e}$-consequences and $\mathsf{B}(\Pi^1_{e})$-consequences of the axiomatic system of the strong dependent choice for $\Sigma^1_i$ formulas $\Sigma^1_i$-$\mathsf{SDC}_0$ for $i > 0$ and $e < i+2$. Here, $\mathsf{B}(\Gamma)$ denotes the set generated by $\land,\lor,\lnot$ starting from $\Gamma$. |
Databáze: | arXiv |
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