This paper presents some fundamental aspects of the design and the implementation of an automated prover for Zermelo-Fraenkel set theory within the well-known Theorema system. The...
We give a precise definition of "generic-case complexity" and show that for a very large class of finitely generated groups the classical decision problems of group theor...
Ilya Kapovich, Alexei G. Myasnikov, Paul Schupp, V...
Various forms of underdetermination that might threaten the realist stance are examined. That which holds between different ‘formulations’ of a theory (such as the Hamiltonian...
We introduce another view of group theory in the field of interconnection networks. With this approach it is possible to specify application specific network topologies for permut...
A geometric derivation of numerical integrators for optimal control problems is proposed. It is based in the classical technique of generating functions adapted to the special fea...