Computability is the ability to solve a problem by an effective procedure. It is a key topic of the field of computability theory within mathematical logic...

these areas, computability theory overlaps with proof theory and effective descriptive set theory. Basic questions addressed by computability theory include:...

Computing is any goal-oriented activity requiring, benefiting from, or creating computing machinery. It includes the study and experimentation of algorithmic...

organizations, clubs and societies of both a formal and informal nature. Computability theory Computer security Glossary of computer hardware terms History...

Computability logic (CoL) is a research program and mathematical framework for redeveloping logic as a systematic formal theory of computability, as opposed...

Computable functions are the basic objects of study in computability theory. Informally, a function is computable if there is an algorithm that computes...

a Turing machine. Much of computability theory builds on the halting problem result. Another important step in computability theory was Rice's theorem...

Cloud computing is "a paradigm for enabling network access to a scalable and elastic pool of shareable physical or virtual resources with self-service...

Quantum advantage comes in the form of time complexity rather than computability, and quantum complexity theory shows that some quantum algorithms are...

In computability theory, a set of natural numbers is computable (or decidable or recursive) if there is an algorithm that computes the membership of every...

In computability theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's...

can be computed and what amount of resources are required to perform those computations. In an effort to answer the first question, computability theory...

adopted throughout mathematics. The study of computability came to be known as recursion theory or computability theory, because early formalizations by Gödel...

Forcing in computability theory is a modification of Paul Cohen's original set-theoretic technique of forcing to deal with computability concerns. Conceptually...

This is a list of computability and complexity topics, by Wikipedia page. Computability theory is the part of the theory of computation that deals with...

Logics for computability are formulations of logic that capture some aspect of computability as a basic notion. This usually involves a mix of special...

was introduced by Émile Borel in 1912, using the intuitive notion of computability available at the time. Equivalent definitions can be given using μ-recursive...

Compute! (ISSN 0194-357X), often stylized as COMPUTE!, is an American home computer magazine that was published from 1979 to 1994. Its origins can be traced...

Computability in Analysis and Physics is a monograph on computable analysis by Marian Pour-El and J. Ian Richards. It was published by Springer-Verlag...

In computability theory and computational complexity theory, a decision problem is a computational problem that can be posed as a yes–no question on a...

In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems. It can be visualized as a black...

In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem. A sufficiently...

to transfer the idea of computability and related concepts, which are originally defined on the natural numbers using computable functions, to these different...

In computability theory, the mortality problem is a decision problem related to the halting problem. For Turing machines, the halting problem can be stated...

In computability theory, a decider is a Turing machine that halts for every input. A decider is also called a total Turing machine as it represents a...

specifically computability and set theory, an ordinal α {\displaystyle \alpha } is said to be computable or recursive if there is a computable well-ordering...

A computing platform, digital platform, or software platform is the infrastructure on which software is executed. While the individual components of a...

1926 – July 17, 2015) was an American mathematician who worked in computability theory, and was a professor in the Mathematics Department of the Massachusetts...

In computability theory, a system of data-manipulation rules (such as a model of computation, a computer's instruction set, a programming language, or...

In computability theory, many reducibility relations (also called reductions, reducibilities, and notions of reducibility) are studied. They are motivated...