Download Artificial Intelligence, Automated Reasoning, and Symbolic by Eugene C. Freuder (auth.), Jacques Calmet, Belaid Benhamou, PDF

By Eugene C. Freuder (auth.), Jacques Calmet, Belaid Benhamou, Olga Caprotti, Laurent Henocque, Volker Sorge (eds.)

This booklet constitutes the refereed lawsuits of the joint foreign meetings on synthetic Intelligence and Symbolic Computation, AISC 2002, and Calculemus 2002 held in Marseille, France, in July 2002.
The 24 revised complete papers awarded including 2 process descriptions have been rigorously reviewed and chosen from fifty two submissions. one of the issues lined are automatic theorem proving, logical reasoning, mathematical modeling, algebraic computations, computational arithmetic, and functions in engineering and business perform.

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Additional resources for Artificial Intelligence, Automated Reasoning, and Symbolic Computation: Joint International Conferences AISC 2002 and Calculemus 2002 Marseille, France, July 1–5, 2002 Proceedings

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The replacement of a sub-term t|w by a term s in a term t is written as t[w ← s]. A term p ∈ TΣ ({y1 , . . , yn }) is called first order pattern of a term t ∈ TΣ (X), {y1 , . . , yn } ∩ X = ∅, if there exist subtrees ti , such that t = p[y1 ← t1 , . . , yn ← tn ], i = 1, . . , n. A pattern p of a term t is called trivial, if p is a variable and non-trivial otherwise. We write p ≤ t if p is a pattern of t and p < t if p and t can not be unified by 28 E. Kitzelmann et al. variable renaming only.

1 Segmentation When we start with segmentation, the hypothesis is that there exists a set of tc equations Gi with initial equation Gi (x1 , . . , xmi ) = ti which explains a set of given initial trees Tinit . The goal is to find a set of possible recursion points Urec for such an equation Gi which divides the initial trees into segments which correspond to the unfoldings of Gi . Each equation of an RPS occurs in some context. For instance, the main program might be a term t0 = G1 ([1, 2, 3]), that is, G1 is called in an “empty” context.

Variables xi . L is the ideal generated by the polynomials that translate the negations of the facts in some chosen maximal consistent set of facts. N is the ideal generated by the polynomials that translate the negations of both the production rules and the ADDIs. The theorem says: Theorem 1. , xpn − xn . Corollary 1. , xn ] . , xn each correspond to the propositional variables contained in the RBES. Two important steps can be performed thanks to this theorem: (1) look for inconsistencies in the expert system (2) extract new information from the information contained in the expert system.

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