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Complexity of finite-variable fragments of products with K
Journal of Logic and Computation. 2021. Vol. 31. No. 2. P. 426–443.
Rybakov M., Shkatov D.
It is shown that products and expanding relativized products of propositional modal logics where one component is the minimal monomodal logic K are polynomial-time reducible to their single-variable fragments. Therefore, the nown lower bound complexity and undecidability results for such logics are extended to their single-variable fragments. Similar results are obtained for products where one component is a polymodal logic with a K-style modality; these include products with propositional dynamic logics.
Research target:
Mathematics
Language:
English
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