A Uniform Tableaux Method for Nonmonotonic Modal Logics
نویسندگان
چکیده
We present a semantic tableaux calculus for propositional nonmonotonic modal logics, based on possible-worlds characterisations for nonmonotonic modal logics. This method is parametric with respect to both the modal logic and the preference semantics, since it handles in a uniform way the entailment problem for a wide class of nonmonotonic modal logics: McDermott and Doyle's logics and ground logics. It also achieves the computational complexity lower bounds.
منابع مشابه
Labelled Tableaux for Non-normal Modal Logics
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.
متن کاملDefeasible Modalities
Nonmonotonic logics are usually characterized by the presence of some notion of ‘conditional’ that fails monotonicity. Research on nonmonotonic logics is therefore largely concerned with the defeasibility of argument forms and the associated normality (or abnormality) of its constituents. In contrast, defeasible modes of inference aim to formalize the defeasible aspects of modal notions such as...
متن کاملSemi-analytic Tableaux For Propositional Modal Logics of Nonmonotonicity
The propositional monotonic modal logics K45, K45D, S4:2, S4R and S4F elegantly capture the semantics of many current nonmonotonic formalisms as long as (strong) de-ducibility of A from a theory ?; ? ` A; allows the use of necessitation on the members of ?: This is usually forbidden in modal logic where ? is required to be empty, resulting in a weaker notion of deducibility. Recently, Marek, Sc...
متن کاملLabelled Tableaux for Nonmonotonic Reasoning: Cumulative Consequence Relations
In this paper we present a labelled proof method for computing nonmonotonic consequence relations in a conditional logic setting. The method exploits the strong connection between these deductive relations and conditional logics, and it is based on the usual possible world semantics devised for the latter. The label formalism KEM, introduced to account for the semantics of normal modal logics, ...
متن کاملFibred Modal Tableaux (preliminary report)
We describe a general and uniform tableau methodology for multi-modal logics arising from Gabbay’s methodology of fibring and Governatori’s tableau system KEM.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1996