The notion of assumption-based framework generalises and re nes the use of abduction to give a formalisation of non-monotonic reasoning. In this framework, a sentence is a non-mon...
Andrei Bondarenko, Francesca Toni, Robert A. Kowal...
Sound and complete axiomatizations are provided for a number of different logics involving modalities for knowledge and time. These logics arise from different choices for various ...
Joseph Y. Halpern, Ron van der Meyden, Moshe Y. Va...
Abstract. We consider the temporal logic with since and until modalities. This temporal logic is expressively equivalent over the class of ordinals to first-order logic thanks to ...
In this paper, we focus our attention on the interval temporal logic of the Allen’s relations “meets”, “begins”, and “begun by” (ABB for short), interpreted over natu...
Abstract. Bi-intuitionistic logic is a conservative extension of intuitionistic logic with a connective dual to implication, called exclusion. We present a sound and complete cut-f...