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Reactive intuitionistic tableaux

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Abstract

We introduce reactive Kripke models for intuitionistic logic and show that the reactive semantics is stronger than the ordinary semantics. We develop Beth tableaux for the reactive semantics.

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References

  • Gabbay, D. Reactive Beth Tableaux for modal logics. April 2009, to appear in Annals of Mathematics in Artificial Intelligence 2011.

  • Gabbay, D. (2008). Reactive Kripke semantics and arc accessibility. In A. Avron, N. Dershowitz, & A. Rabinovich (Eds.), Pillars of computer science: Essays dedicated to Boris (Boaz) Trakhtenbrot on the occasion of his 85th birthday (LNCS 4800, pp. 292–341). Berlin: Springer.

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Correspondence to D. M. Gabbay.

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Gabbay, D.M. Reactive intuitionistic tableaux. Synthese 179, 253–269 (2011). https://doi.org/10.1007/s11229-010-9781-8

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  • DOI: https://doi.org/10.1007/s11229-010-9781-8

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