Results for 'Antivariety'

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  1.  39
    The Lattice of Super-Belnap Logics.Adam Přenosil - 2023 - Review of Symbolic Logic 16 (1):114-163.
    We study the lattice of extensions of four-valued Belnap–Dunn logic, called super-Belnap logics by analogy with superintuitionistic logics. We describe the global structure of this lattice by splitting it into several subintervals, and prove some new completeness theorems for super-Belnap logics. The crucial technical tool for this purpose will be the so-called antiaxiomatic (or explosive) part operator. The antiaxiomatic (or explosive) extensions of Belnap–Dunn logic turn out to be of particular interest owing to their connection to graph theory: the lattice (...)
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  2.  45
    Constraint Satisfaction, Irredundant Axiomatisability and Continuous Colouring.Marcel Jackson & Belinda Trotta - 2013 - Studia Logica 101 (1):65-94.
    We observe a number of connections between recent developments in the study of constraint satisfaction problems, irredundant axiomatisation and the study of topological quasivarieties. Several restricted forms of a conjecture of Clark, Davey, Jackson and Pitkethly are solved: for example we show that if, for a finite relational structure M, the class of M-colourable structures has no finite axiomatisation in first order logic, then there is no set (even infinite) of first order sentences characterising the continuously M-colourable structures amongst compact (...)
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