On the Mints Hierarchy in First-Order Intuitionistic Logic
نویسندگان
چکیده
We stratify intuitionistic first-order logic over (∀,→) into fragments determined by the alternation of positive and negative occurrences of quantifiers (Mints hierarchy). We study the decidability and complexity of these fragments. We prove that even the ∆2 level is undecidable and that Σ1 is Expspace-complete. We also prove that the arity-bounded fragment of Σ1 is complete for co-Nexptime.
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ورودعنوان ژورنال:
- Logical Methods in Computer Science
دوره 12 شماره
صفحات -
تاریخ انتشار 2015