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  1. The Decision Problem of Modal Product Logics with a Diagonal, and Faulty Counter Machines.C. Hampson, S. Kikot & A. Kurucz - 2016 - Studia Logica 104 (3):455-486.
    In the propositional modal treatment of two-variable first-order logic equality is modelled by a ‘diagonal’ constant, interpreted in square products of universal frames as the identity relation. Here we study the decision problem of products of two arbitrary modal logics equipped with such a diagonal. As the presence or absence of equality in two-variable first-order logic does not influence the complexity of its satisfiability problem, one might expect that adding a diagonal to product logics in general is similarly harmless. We (...)
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  • Multimo Dal Logics of Products of Topologies.Johan van Benthem, Guram Bezhanishvili, Balder ten Cate & Darko Sarenac - 2006 - Studia Logica 84 (3):369-392.
    We introduce the horizontal and vertical topologies on the product of topological spaces, and study their relationship with the standard product topology. We show that the modal logic of products of topological spaces with horizontal and vertical topologies is the fusion ${\bf S4}\oplus {\bf S4}$ . We axiomatize the modal logic of products of spaces with horizontal, vertical, and standard product topologies. We prove that both of these logics are complete for the product of rational numbers ${\Bbb Q}\times {\Bbb Q}$ (...)
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