Computability Theory: An Introduction to Recursion Theory
The study of the class of computable partial functions (i.e., recursive partial functions)
stands at the intersection of three fields: mathematics, theoretical computer science,
Mathematically, computability theory originates from the concept of an algorithm.
It leads to a classification of functions according...
Computability: Turing, Gödel, Church, and Beyond
In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for computability. This work, advancing precise characterizations of effective, algorithmic computability, was the culmination of intensive investigations into the foundations of mathematics. In the...
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