Multiagent Systems

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Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 684/731 9. Agents based on FOL 5. (Concurrent-) MetaTeM Semantics of FML. The models for FML formulae are given by a structure consisting of a sequence of worlds (also called states), together with an assignment of truth values to atomic sentences within states, a domain D which is assumed to be constant for every state, and mappings from elements of the language into denotations. This is like in Definition 8.4 on slide 528.
of. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 685/731 9. Agents based on FOL 5. (Concurrent-) MetaTeM Definition 9.22 (FML model) A FML-model is a tuple M = 〈σ, D, h c , h p 〉 where σ is the ordered set of states s 0 , s 1 , s 2 , ..., h c is a map from the constants into D, and h p is a map from N × L p into D n → { true, false } (the first argument of h p is the index i of the state s i ). Thus, for a particular state s, and a particular predicate p of arity n, h(s, p) assigns truth values to atoms constructed from n-tuples of elements of D.
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