Labelled Tableaux for Non-normal Modal Logics
نویسندگان
چکیده
In this paper we show how to extend KEM, a tableau-like proof system for normal modal logic, in order to deal with classes of non-normal modal logics, such as monotonic and regular, in a uniform and modular way.
منابع مشابه
Labelled modal tableaux
Labelled tableaux are extensions of semantic tableaux with annotations (labels, indices) whose main function is to enrich the modal object language with semantic elements. This paper consists of three parts. In the first part we consider some options for labels: simple constant labels vs labels with free variables, logic depended inference rules vs labels manipulation based on a label algebra. ...
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Compiled Labelled Deductive Systems (CLDS) provide a uniform logical framework where families of different logics can be given a uniform proof system and semantics. A variety of applications of this framework have been proposed so far ranging from extensions of classical logics (e.g. normal modal logics and multi-modal logics) to non-classical logics such as resource and substructural loogics. ...
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In this paper we present a tableau-like proof system for multi-modal logics based on D’Agostino and Mondadori’s classical refutation system KE [DM94]. The proposed system, that we call KEM , works for the logics S5A and S5P(n) which have been devised by Mayer and van der Hoek [MvH92] for formalizing the notions of actuality and preference. We shall also show howKEM works with the normal modal l...
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