Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
1993-12-12
Nonlinear Sciences
Adaptation and Self-Organizing Systems
LaTeX
Scientific paper
A remarkable new definition of a self-delimiting universal Turing machine is presented that is easy to program and runs very quickly. This provides a new foundation for algorithmic information theory. This new universal Turing machine is implemented via software written in Mathematica and C. Using this new software, it is now possible to give a self-contained ``hands on'' mini-course presenting very concretely the latest proofs of the fundamental information-theoretic incompleteness theorems.
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