Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable …

Apr 23, 2020 · Section 1 of this entry provides an overview of the foundational developments in logic and mathematics which led to the founding of recursive function theory in the 1930s.

Recursion theory is defined as a branch of mathematical logic that studies the properties and classification of computable functions and sets, particularly focusing on the integers and their …

In addition to proof theory and model theory, a third main area of contemporary logic is the theory of recursive functions and computability. Much of the specialized work belongs as much to computer …

The basic concept are the recursive and recursively enumerable sets, but the world of sets investigated in recursion theory goes beyond these sets. The notions are linked to Diophantine sets, definability …

The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests.

Recursion Theory, also known as Computability Theory, is a branch of mathematical logic and computer science that focuses on the study of computable functions and Turing degrees, which correspond to …

May 28, 2025 · Explore the fundamentals and advanced concepts of Recursion Theory in this detailed guide for Mathematics Capstone students.

Recursive drawing of a Sierpiński Triangle through turtle graphics In computer science, recursion is a method of solving a computational problem where the solution depends on solutions to smaller …

Recursion theory, also known as computability theory, is an essential area of study in both theoretical computer science and mathematics that focuses on what it means for a function to be computable …