We define the notion of ordinal computability by generalizing standard Turing computability on tapes of length to computations on tapes of arbitrary ordinal length. We show that a ...
Software and the computational behaviors it defines are increasingly important sources of both economic costs and benefits for companies, governments and individuals. Nevertheless...
We give a correspondence between two notions of complexity for real numbers and functions: poly-time computability according to Ko and a notion that arises naturally when one cons...
Abstract. Define a static algorithm as an algorithm that computes some combinatorial property of its input consisting of static, i.e., non-moving, objects. In this paper, we descri...
Umut A. Acar, Guy E. Blelloch, Kanat Tangwongsan, ...
Defining the degree of categoricity of a computable structure M to be the least degree d for which M is d-computably categorical, we investigate which Turing degrees can be realiz...
Ekaterina B. Fokina, Iskander Sh. Kalimullin, Russ...