Intuitionistic Autoepistemic Logic

Author: Amati G.   Carlucci-Aiello L.   Pirri F.  

Publisher: Springer Publishing Company

ISSN: 0039-3215

Source: Studia Logica, Vol.59, Iss.1, 1997-07, pp. : 103-120

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Abstract

In this paper we address the problem of combining a logic Λ with nonmonotonic modal logic. In particular we study the intuitionistic case. We start from a formal analysis of the notion of intuitionistic consistency via the sequent calculus. The epistemic operator M is interpreted as the consistency operator of intuitionistic logic by introducing intuitionistic stable sets. On the basis of a bimodal structure we also provide a semantics for intuitionistic stable sets.