Coalgebraic semantics for positive modal logic

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Positive Modal Logic is the restriction of the modal local consequence relation defined by the class of all Kripke models to the propositional negation-free modal language. The class of positive modal algebras is the one canonically associated with PML according to the theory of the algebraization of logics. In [4], a Priestley-style duality is established between the category of positive modal algebras and the category of K+-spaces. In this paper, we establish a categorical equivalence between the category K+of K+-spaces and the category Coalg(V) of coalgebras of a suitable endofunctor V on the category of Priestley spaces. ©2003 Published by Elsevier Science B. V.




Palmigiano, A. (2003). Coalgebraic semantics for positive modal logic. In Electronic Notes in Theoretical Computer Science (Vol. 82, pp. 227–242).

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