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Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 680/731 9. Agents based on FOL 5. (Concurrent-) MetaTeM FML introduces two new connectives to classical logic, until (φ Uψ meaning ψ will become true at some future time point t and in all states between and different from now and t, φ will be true) and since (φ Sψ meaning ψ became true at some time point t in the past and in all states between t and now φ is true).
Prof. Dr. Jürgen Dix · Department of Informatics, TUC Multiagent Systems, WS 06/07 681/731 9. Agents based on FOL 5. (Concurrent-) MetaTeM Syntax of FML. The formulae for FML are generated as usual, starting from a set L p of predicate symbols, a set L v of variable symbols, a set L c of constant symbols, the quantifiers ∀ and ∃, and the set L t of terms (constants and variables). The set F ml is defined by: If t 1 , ..., t n are in L t and p is a predicate symbol of arity n, then p(t 1 , ..., t n ) is in F ml. ⊤ (true) and ⊥ (false) are in F ml. If A and B are in F ml, then so are ¬A, A ∧ B, AUB, ASB, and (A). If A is in F ml and v is in L v , then ∃v.A and ∀v.A are both in F ml.
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9. Agents based on FOL 7. Reference
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