By John-Jules Ch. Meyer, Jan Treur

This quantity, the sixth quantity within the DRUMS guide sequence, is a part of the after­ math of the profitable ESPRIT venture DRUMS (Defeasible Reasoning and Un­ simple task administration platforms) which came about in phases from 1989-1996. within the moment degree (1993-1996) a piece package deal was once brought dedicated to the subjects Reasoning and Dynamics, overlaying either the themes of 'Dynamics of Rea­ soning', the place reasoning is seen as a strategy, and 'Reasoning approximately Dynamics', which needs to be understood as referring to how either designers of and brokers inside dynamic platforms may possibly cause approximately those platforms. the current quantity offers paintings performed during this context. This paintings has an emphasis on modelling and formal recommendations within the research of the subject "Reasoning and Dynamics", however it isn't really mere concept that occupied us. fairly study was once geared toward bridging the space among concept and perform. as a result additionally real-life functions of the modelling thoughts have been thought of, and we are hoping this additionally exhibits during this quantity, that's fascinated about the dynamics of reasoning methods. for you to supply the booklet a broader point of view, we have now invited a few famous researchers outdoors the venture yet engaged on related subject matters to give a contribution to boot. we've got very friendly reminiscences of the undertaking, with its energetic workshops and different conferences, with the numerous websites and researchers concerned, either inside and outdoors our personal paintings package.

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Artificial Intelligence, 13, 133-170, 1980. WIEBE VANDER HOEK, JOHN-JULES :MEYER AND JANTREUR FORMAL SEMANTICS OF TEMPORAL EPISTEMIC REFLECTION 1 INTRODUCTION Meta-level architectures often are used either to model dynamic control of the object level inferences, or to extend the inference relation of the object level. In [Treur, 1992] we introduced formal semantics for meta-level architectures of the first kind based on temporal models. It may be considered quite natural that for such a dynamic type of reasoning system the temporal element of the reasoning should be made explicit in the formal semantics.

Downward reflection Information from the of the meta-level component is transformed (by the mapping O:down; see Definition 16 below) to the next control-information state to be used in the control of the object-level component. This will affect the reasoning behaviour during the subsequent object-level reasoning. TEMPORAL SEMANTICS OF META-LEVEL ARCHITECTURES 31 DEFINITION 16 (Meta-level architecture for dynamic control). a. A meta-level architecture for dynamic control is described by a tuple where ( I:o, OT, 1-o) (I:c, /-L, l/) are a static and a dynamic view on the object-level component, is a static view on the meta-level component, where I:m is related to the control signature I:c by the injective functions c : I:c -----t I:m and p : I:c -----t I:m and 1-m is an inference relation.

The intersection of the subframes Mi, i E t. This intersection is denoted by M'T. We assume that, forT = 0, M0 = niE0Mi = M. So in this special case we get that the P7 modality coincides with the belief operator B. Validity and satisfiability is defined analogously as before. It is possible to axiomatize (the theory of) SSP* by adjusting the axiom system SSP of [Meyer and van der Hoek, 1993a]; we will not go into full details here but give some main principles: DEFINITION 26 (System SSP*). In the following, i ranges over I, and T over subsets of I.

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