Preservation of Craig interpolation by the product of matrix logics
نویسندگان
چکیده
منابع مشابه
Preservation of Craig interpolation by the product of matrix logics
The product of matrix logics, possibly with additional interaction axioms, is shown to preserve a slightly relaxed notion of Craig interpolation. The result is established symbolically, capitalizing on the complete axiomatization of the product of matrix logics provided by their meet-combination. Along the way preservation of the metatheorem of deduction is also proved. The computation of the i...
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In [13] and [14] Maksimova proved that a normal modal logic (with one unary modality) has the Craig interpolation property iff the corresponding class of algebras has the superamalgamation property. (These notions will be recalled below.) In this paper we extend Maksimova’s theorem to normal multi-modal logics with arbitrarily many, not necessarily unary modalities, and to not necessarily norma...
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ژورنال
عنوان ژورنال: Journal of Applied Logic
سال: 2013
ISSN: 1570-8683
DOI: 10.1016/j.jal.2013.06.001