On propositional quantifiers in provability logic.
نویسندگان
چکیده
منابع مشابه
On propositional quantifiers in provability logic
The first order theory of the Diagonalizable Algebra of Peano Arithmetic (DA(PA)) represents a natural fragment of provability logic with propositional quantifiers. We prove that the first order theory of the O-generated subalgebra of DA(PA) is decidable but not elementary recursive; the same theory, enriched by a single free variable ranging over DA(PA), is already undecidable. This gives a ne...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1993
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093634729