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The purpose of this thesis is to make an analysis of the concept ofHypercomputation and of some hypermachines. This thesis is separated in threemain parts. We start in the first chapter with an analysis of the concept ofClassical Computability with the Turing Machine and the Church-Turing thesis asa main reference and afterwards, in the second chapter, we continue with ananalysis of hypercomputation and some hypermachines. Attention is given to thepossible physical realization of these machines and their usefulness. In thethird chapter a superficial introduction to Quantum Computing is made and abrief analysis to a quantum hypercomputational model, Tien D. Kieu's AdiabaticQuantum Computing.

Hypercomputation: Towards an extension of the classical notion of Computability?