The intuition guiding the de…nition of computation has shifted over time, a process that is re‡ected in the changing formulations of the Church-Turing thesis. The theory of co...
The paper surveys the fundamental principles of evolvable hardware, introduces main problems of the field and briefly describes the most successful applications. Although evolvab...
We preliminarily recap what is meant by complexity and non-Turing computation, by way of explanation of our title, ‘Computational Complexity in Non-Turing Models of Computation...
We define the notion of ordinal computability by generalizing standard Turing computability on tapes of length ω to computations on tapes of arbitrary ordinal length. The general...
Most research into hypercomputation focuses only on machines able to prove stronger results the basic Turing Machine, hence the phrase hypercomputation. However, developing hyperco...