Advances in Artificial Intelligence and Its Applications: by Mauricio Osorio, José Luis Carballido, Claudia Zepeda

By Mauricio Osorio, José Luis Carballido, Claudia Zepeda (auth.), Félix Castro, Alexander Gelbukh, Miguel González (eds.)

The two-volume set LNAI 8265 and LNAI 8266 constitutes the court cases of the twelfth Mexican overseas convention on synthetic Intelligence, MICAI 2013, held in Mexico urban, Mexico, in November 2013. the complete of eighty five papers provided in those lawsuits have been conscientiously reviewed and chosen from 284 submissions. the 1st quantity offers with advances in synthetic intelligence and its purposes and is dependent within the following 5 sections: good judgment and reasoning; knowledge-based structures and multi-agent platforms; usual language processing; desktop translation; and bioinformatics and scientific purposes. the second one quantity offers with advances in gentle computing and its purposes and is established within the following 8 sections: evolutionary and nature-inspired metaheuristic algorithms; neural networks and hybrid clever platforms; fuzzy platforms; computing device studying and trend acceptance; facts mining; computing device imaginative and prescient and picture processing; robotics, making plans and scheduling and emotion detection, sentiment research and opinion mining.

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Fm ) is a formula. In many-valued logics we prove that a formula always has a given truth value or a given set of truth values. We will introduce a notation for expressing that a formula F has a truth value t. Definition 3. A signed formula is a pair (F, t), denoted F t , where F is a fortm mula and t ∈ V . A sequent is a finite set {F1t1 , . . , Fm } of signed formulas. tm . For simplicity, we will write such a sequent as a sequence F1t1 , . . , Fm In [14, 26] signed formulas are signed with sets of truth values.

5). Let Π be an RB-refutation, corresponding to the unsatisfiability proof of R ∧ B. Following [10], we generate an interpolant I of R and B such that I is a boolean combination of formulas of Π. Recall that R I, B I and I ∈ LRB . e. a set of derivations P = {Πi } such that (i) each Πi is a sub-derivation of Π, (ii) a leaf of a subderivation Πi represents the root of another sub-derivation Πj or a leaf of Π, (iii) each inference of Π belongs to some Πi ∈ P. We call the leaves of a subderivation Πi ∈ P sub-leaves of Πi ; note that a sub-leaf might also be a leaf of Π.

Tn , t such that t = val (c)(t1 , . . , tn ), there exist a set J ⊆ {1, . . , n} such that rule (2) belongs to G. Note the non-standard formulation of completeness caused by the absence of the weakening rule in the calculus. Consider, for example, the logic L2 . The sequent Atrue , Afalse , B true , where A and B are propositional variables, is valid, but not derivable in any introduction-based calculus, since it does not have the form (1) and contains no connectives. However, its proper subset Atrue , Afalse is derivable in every such calculus, since it is an instance of (1).

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