Automated Deduction in Geometry: International Workshop on by Deepak Kapur (auth.), Dongming Wang (eds.)

By Deepak Kapur (auth.), Dongming Wang (eds.)

This booklet constitutes the completely refereed and revised post-workshop court cases of the overseas Workshop on computerized Deduction in Geometry, held in Toulouse, France, in September 1996. The revised prolonged papers approved for inclusion within the quantity have been chosen at the foundation of double reviewing. one of the issues lined are computerized geometric reasoning and the deduction utilized to Dixon resultants, Gröbner bases, attribute units, computational geometry, algebraic geometry, and planet movement; additionally the approach REDLOG is tested and the verification of geometric statements in addition to the automatic construction of evidence in Euclidean Geometry are present.

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Additional info for Automated Deduction in Geometry: International Workshop on Automated Deduction in Geometry Toulouse, France, September 27–29, 1996 Selected Papers

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Definition 5 (Clone-and-mutate mating policy). Let us consider two nodes with respective fitness level I1 and I2 that get into mutual communication range. Let us assume, without any loss of generality, I1 ≥ I2 (if I1 = I2 = 1 no mating takes place). If I1 = I2 , we assume node 2 to perform the mating. Then user 2 downloads user 1’s service. Mutation is then performed on the new vector v 2 , by changing each digit independently with a given probability p (called the mutation probability). User 1 keeps its service unchanged.

This can be observed in Fig. 6. 3. Experiments on the Automatic Evolution of Protocols Using GP 25 16000 600 Scores, from 0% to 25% loss Scores, from 25% to 0% loss 14000 12000 10000 8000 6000 Best score Average score Worst score 4000 2000 0 400 200 0 Best score Average score Worst score -200 -400 -2000 0 5 10 15 20 25 30 Generations 35 40 45 50 0 5 10 15 20 25 30 Generations 35 40 45 50 60000 10000 50000 8000 Scores, from 0% to 25% loss Scores, from 25% to 0% loss Fig. 5. Scores for two different re-adaptation situations: Left: from 25% loss to 0% loss.

Stavrakakis and M. ): WAC 2005, LNCS 3854, pp. 29–40, 2006. c IFIP International Federation for Information Processing 2006 30 I. Carreras et al. introduction of novel services and leading to a deep change in people/technology interactions [1]. The term “autonomic” comes from the computing field [2], where it is used to define systems which are inherently self-configuring, self-optimizing, self-healing and self-protecting. As the term itself suggests, an autonomic system should show the same properties of the human nervous system, which controls in an “unconscious” way routine tasks such as blood pressure, hormone levels, heart and breathing rate.

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