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

This publication constitutes the refereed court cases of the joint foreign meetings on man made 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 subject matters lined are automatic theorem proving, logical reasoning, mathematical modeling, algebraic computations, computational arithmetic, and purposes in engineering and commercial perform.

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Extra info 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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1), the recursion points (positions, at which a recursive call appeared) will be infered. Only those positions are possible which lie on a path leading to an Ω (only one in this example). Furthermore, it must hold that the positions between the root and the recursion point reiterate itself up to arriving the Ω. λ} in this example. The minimal pattern which includes the mentioned symbols is tskel = if (x1 , x2 , ∗(x3 , Ω)). The recursion point devides the initial term into three segments: if (eq0(succ(succ(0))), 1, ∗(succ(succ(0)), G)) if (eq0(pred(succ(succ(0)))), 1, ∗(pred(succ(succ(0))), G)) if (eq0(pred(pred(succ(succ(0))))), 1, ∗(pred(pred(succ(succ(0)))), G)) Since there are no further Ωs in the initial tree, the searched for equation can only contain the found position as recursion point.

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Gz, Mai 2001. unpublished habilitation thesis. [SE99] S. Schr¨odl and S. Edelkamp. Inferring flow of control in program synthesis by example. In Proc. Annual German Conference on Artificial Intelligence (KI’99), Bonn, LNAI, pages 171–182. Springer, 1999. [Sum77] P. D. Summers. A methodology for LISP program construction from examples. Journal ACM, 24(1):162–175, 1977. [SW00] U. Schmid and F. Wysotzki. Applying inductive programm synthesis to macro learning. In Proc. 5th International Conference on Artificial Intelligence Planning and Scheduling (AIPS 2000), pages 371–378.

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