An Application to a Reflective Architecture: Milord-ii*†

Halpern and Moses [Halpern & Moses, 84] define and characterize what a minimal epistemic state associated to a set of premises is, using the notions of stable set and S5Kripke models. Based on such epistemic states, Halpern and Moses define an entailment relation with which one can infer what is known and, more importantly, what is unknown by an agent. In this paper we formulate an extension of these ideas to the many-valued case. As an application example we study the logical foundation of a core fragment of the MILORD II architecture [Sierra & Godo, 92,93], focusing in particular on giving a modal interpretation of MILORD II meta-predicates. This paper has to be understood as a preliminary report on the relationship between special meta-predicates in meta-level architectures for non-monotonic reasoning such as MILORD II or BMS [Tan & Treur, 91], [Tan, 92] and modal operators in non-monotonic epistemic logics.