Titlebook: Artificial Intelligence and Symbolic Computation; 7th International Co Bruno Buchberger,John Campbell Conference proceedings 2004 Springer-

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The Impact of AIDS on Industry in Zimbabwesymbolic computation, in the form of computational group theory. GE-trees are a new conceptual abstraction, providing low-degree polynomial time methods for breaking value symmetries in constraint satisfication problems. In this paper we analyse the structure of symmetry groups of constraint satisfa

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The Algorithmization of Physics: Math Between Science and Engineeringlified by a recent result from my own research: a new symbolic solution method for linear two-point boundary value problems. The essential features of this method are discussed with regard to a potentially novel line of research in symbolic computation.

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Planning and Patching Proof. When such a proof attempt fails, these failures can be analyzed and a patch formulated and applied. We also describe rippling: a powerful proof method used in proof planning. We pose and answer a number of common questions about proof planning and rippling.

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Extending Finite Model Searching with Congruence Closure Computationnd mathematics. In this paper, we describe how to increase propagation of constraints by using the ground congruence closure algorithm. The experimental results show that using the congruence closure algorithm can reduce the search space for some benchmark problems.

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Proof Search in Minimal Logicy requiring that every higher order variable . can only occur in a context ., where . are distinct bound variables in the scope of the operator binding ., and of opposite polarity. Note that for first order logic this restriction does not mean anything, since there are no higher order variables. How