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Titlebook: Artificial Intelligence and Symbolic Mathematical Computation; International Confer Jacques Calmet,John A. Campbell,Jochen Pfalzgraf Confer

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Proof transformation for non-compatible rewriting,transformation techniques using a very powerful new proof ordering. This new ordering improves over previously proposed orderings because (1) it can handle semi-compatible reduction relations and (2) it explains all known complete redundancy criteria in a uniform framework.
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PATCH Graphs: An efficient data structure for completion of finitely presented groups,ts rules and their symmetrized forms as cycles in a Cayley graph structure. Completion is easily performed directly on the graph, and structure sharing is enforced. The structure of the graph allows us to avoid certain redundant inferences. The PATCH Graph data structure and inference rules compleme
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Geometry machines: From AI to SMC,roaches are explained with a set of selected examples. Comments and analyses are provided to illustrate the encouraging success of GTP which interrelates AI and SMC. We also present some technological applications of GTP and discuss its challenges ahead.
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Solving geometrical constraint systems using CLP based on linear constraint solver,nd consequently belong to the domain of CLP(R). Unfortunately, CLP based on linear constraint solvers which are efficient and can deal with geometrical constraints such as parallelism, perpendicularity, belonging to a line i.e. pseudo-linear constraints, cannot handle quadratic constraints introduce
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