We study computability on sequence spaces, as they are used in functional analysis. It is known that non-separable normed spaces cannot be admissibly represented on Turing machines...
Since 1996, some models of recursive functions over the real numbers have been analyzed by several researchers. It could be expected that they exhibit a computational power much g...
The conventional wisdom presented in most computability books and historical papers is that there were several researchers in the early 1930’s working on various precise defini...
The NP machine hypothesis posits the existence of an ǫ > 0 and a nondeterministic polynomial-time Turing machine M which accepts the language 0∗ but for which no determinist...
The Church-Turing Thesis has been the subject of many variations and interpretations over the years. Specifically, there are versions that refer only to functions over the natural ...