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On the completeness of classical modal display logic

In Heinrich Wansing (ed.), Proof theory of modal logic. Boston: Kluwer Academic Publishers. pp. 2--137 (1996)

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Predicate logics on display.Heinrich Wansing - 1999 - Studia Logica 62 (1):49-75.details The paper provides a uniform Gentzen-style proof-theoretic framework for various subsystems of classical predicate logic. In particular, predicate logics obtained by adopting van Behthem''s modal perspective on first-order logic are considered. The Gentzen systems for these logics augment Belnap''s display logic by introduction rules for the existential and the universal quantifier. These rules for x and x are analogous to the display introduction rules for the modal operators and and do not themselves allow the Barcan formula or its converse to (...) Download Export citation Bookmark 8 citations
Display calculi for logics with relative accessibility relations.Stéphane Demri & Rajeev Goré - 2000 - Journal of Logic, Language and Information 9 (2):213-236.details We define cut-free display calculi for knowledge logics wherean indiscernibility relation is associated to each set of agents, andwhere agents decide the membership of objects using thisindiscernibility relation. To do so, we first translate the knowledgelogics into polymodal logics axiomatised by primitive axioms and thenuse Kracht's results on properly displayable logics to define thedisplay calculi. Apart from these technical results, we argue thatDisplay Logic is a natural framework to define cut-free calculi for manyother logics with relative accessibility relations. Download Export citation Bookmark 1 citation

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