Computability is the ability to solve a problem in an effective manner. It is a key topic of the field of computability theory within mathematical logic...
21 KB (3,293 words) - 19:16, 22 May 2024
these areas, computability theory overlaps with proof theory and effective descriptive set theory. Basic questions addressed by computability theory include:...
54 KB (6,419 words) - 10:46, 16 July 2024
Computing is any goal-oriented activity requiring, benefiting from, or creating computing machinery. It includes the study and experimentation of algorithmic...
51 KB (5,368 words) - 14:12, 21 September 2024
Computable functions are the basic objects of study in computability theory. Computable functions are the formalized analogue of the intuitive notion...
24 KB (3,393 words) - 18:48, 13 August 2024
Theory of computation (section Computability theory)
a Turing machine. Much of computability theory builds on the halting problem result. Another important step in computability theory was Rice's theorem...
18 KB (2,168 words) - 17:28, 25 July 2024
Logics for computability are formulations of logic that capture some aspect of computability as a basic notion. This usually involves a mix of special...
4 KB (377 words) - 14:34, 10 January 2024
mathematics and computer science, computable analysis is the study of mathematical analysis from the perspective of computability theory. It is concerned with...
12 KB (1,591 words) - 21:45, 26 July 2024
Church–Turing thesis (category Computability theory)
In computability theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's...
57 KB (6,730 words) - 21:09, 19 September 2024
Computability logic (CoL) is a research program and mathematical framework for redeveloping logic as a systematic formal theory of computability, as opposed...
19 KB (2,560 words) - 23:49, 16 May 2024