Download Computational Logic in Multi-Agent Systems: 5th by João Leite, Paolo Torroni PDF

By João Leite, Paolo Torroni

This booklet constitutes the strictly refereed post-proceedings of the fifth overseas Workshop on Computational common sense for Multi-Agent platforms, CLIMA V, held in Lisbon, Portugal, in September 2004 as a joint occasion in federation with the 9th ecu convention on Logics in synthetic Intelligence (JELIA’04) to advertise the CLIMA learn themes within the broader neighborhood of logics in AI.

The sixteen revised complete papers offered have been conscientiously chosen from 35 submissions and are dedicated to thoughts from computational good judgment for representing, programming, and reasoning approximately multi-agent structures. The papers are geared up in topical sections on foundations, architectures, interplay, and making plans and applications.

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Additional info for Computational Logic in Multi-Agent Systems: 5th International Workshop, CLIMA V, Lisbon, Portugal, September 29-30, 2004, Revised Selected and Invited

Example text

M ∈ Σ + | θ = π, σ →x1 . . →xm , σm is a finite sequence of transitions in TransA }. , those sequences ending in a configuration with an empty plan. Using the function defined above, we can now define the operational semantics of 3APL. Definition 11. (operational semantics) Let κ : ℘(Σ + ) → ℘(Σ) be a function yielding the last elements of a set of finite computation sequences, which is defined as follows: κ(∆) = {σn | σ1 , . . , σn ∈ ∆}. The operational semantic function OA : Π → (Σ → ℘(Σ)) is defined as follows: OA (π)(σ) = κ(C A (π, σ)).

Contextual Taxonomies 39 of generality often touched upon in context theory (see for example [6, 24]). 1 the following symbol will be also used “ . : . ” (within context c, concept A1 is a proper subconcept of concept A2 ). It can be defined as follows: ξ : γ1 γ2 =def ξ : γ1 γ2 ∧ ∼ ξ : γ2 γ1 . A last category of expressions is also of interest, namely expressions representing what a concept means in a given context: for instance, recalling Example 1, “the concept vehicle in context M1”. 2, are particularly interesting from a semantic point of view.

By lemma 1, we have size(φ ) < size([ n ]φ ). Therefore, by induction, PDL(φ ). As [ n ]φ is equivalent with φ by axiom (PRDL3), we also have PDL([ n ]φ ). Now let π ≡ c; π and let L = [c; π n ]φ and R = [c 0 ][π n ]φ ∧ ρ [apply(ρ, c; π ) n−1 ]φ . By lemma 1, we have that size(R) < size(L). Therefore, by induction, we have PDL(R). As R and L are equivalent by axiom (PRDL4), we also have PDL(L), yielding the desired result. – φ ≡ ¬φ We have that size(¬φ ) = f (size(φ )), s(size(φ )), l(¬φ ) , which is greater than size(φ ).

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