This has led mathematicians and computer scientists to believe that the concept of computability is accurately characterized by these three equivalent processes.
42.
With the advent of the BHK interpretation, Kripke models or computability logic, intuitionism became easier to reconcile with classical mathematics.
43.
In computability theory, an "'oracle machine "'is an abstract machine used to study decision problems.
44.
Computability theory had its roots in the work of Turing, Church, Kleene, and Post in the 1930s and 40s.
45.
Recursion theorists in mathematical logic often study the theory of relative computability, reducibility notions and degree structures described in this article.
46.
Minsky describes a more congenial variation of Lambek's " abacus " model in his " Very Simple Bases for Computability ".
47.
In addition, PLT makes use of many other branches of mathematics, including computability theory, category theory, and set theory.
48.
These hierarchies reveal many relationships between definability in this structure and computability theory, and are also of interest in descriptive set theory.
49.
In spite of the negative theoretical results on the joint spectral radius computability, methods have been proposed that perform well in practice.
50.
It includes the study of computability in higher types as well as areas such as hyperarithmetical theory and & alpha;-recursion theory.
