AI 2010: Advances in Artificial Intelligence: 23rd by Sebastian Haufe, Michael Thielscher (auth.), Jiuyong Li

By Sebastian Haufe, Michael Thielscher (auth.), Jiuyong Li (eds.)

This e-book constitutes the refereed court cases of the twenty third Australasian Joint convention on synthetic Intelligence, AI 2010, held in Adelaide, Australia, in December 2010. The fifty two revised complete papers provided have been rigorously reviewed and chosen from 112 submissions. The papers are prepared in topical sections on wisdom illustration and reasoning; information mining and information discovery; computing device studying; statistical studying; evolutionary computation; particle swarm optimization; clever agent; seek and making plans; average language processing; and AI applications.

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Extra info for AI 2010: Advances in Artificial Intelligence: 23rd Australasian Joint Conference, Adelaide, Australia, December 7-10, 2010. Proceedings

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If a sequent S is valid for any intuitionistic phase structures, then S is provable in cut-free SLL. Proof. If a sequent S is true, then the corresponding formula α is also true by Definition 6. If the formula α is true, then [ ] ∈ v ∅ (α) by Lemma 11. On ˆ ˆ the other hand, also by Lemma 11, v d (α) ⊆ α d for any dˆ ∈ SE, and hence ∅ [ ] ∈ α , which means “⇒ α is provable in cut-free SLL”. This means that S is provable in cut-free SLL. D. Theorem 13 (Cut-elimination). The rule (cut) is admissible in cut-free SLL.

In addition, we define E t , the core state at t as E t {w ∈ W | κt (w) = 0}. Furthermore, we extend this t notation to the κ and the core state after the conditionalization: κtH,r and EH,r . Temporal Belief-Change: κ-functions Approach 17 Observation 1. If κ is a ranking function for 2H , and (A, t) the new information, A ∈ 2W , and r ∈ R+ then (κt )A,r = κt(A,t),r . In AGM theory, the language representing belief is typically propositional while the AGM does not make such distinction. Hence, given the appropriate semantic representation of belief where the temporal element is explicitly stated, the AGM theory can also be a belief change theory regarding a dynamic world [4].

T. time t∗ is called a natural update conditionalization if Hw = Hw2 , and, an inertia enforced update conditionalization if Hw = Hw1 . An implicit characteristic of belief update is that the belief update accepts the current belief state [3]. To represent this feature, we define the ‘past preserving’ property, and show that both the update conditionalization functions above satisfy this property. Definition 6. Let κ be a ranking function for 2H , and (A, tA ), A ∈ 2W , tA ∈ N , the new information.

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