Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated...

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...

In computability theory a numbering is the assignment of natural numbers to a set of objects such as functions, rational numbers, graphs, or words in some...

Recursive Functions and Effective Computability, MIT Press. ISBN 0-262-68052-1 S. Barry Cooper (2004). Computability Theory. Chapman and Hall/CRC. ISBN 1-58488-237-9...

Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic...

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

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

Computable functions are the basic objects of study in computability theory. Computable functions are the formalized analogue of the intuitive notion...

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...

In mathematics, computable measure theory is the part of computable analysis that deals with effective versions of measure theory. Jeremy Avigad (2012)...

In computability theory, the theory of real computation deals with hypothetical computing machines using infinite-precision real numbers. They are given...

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 total...

set theory and philosophy of set theory (particularly the idea of the set-theoretic multiverse), in computability theory, and in group theory. After...

analysis of algorithms and computability theory. A key distinction between analysis of algorithms and computational complexity theory is that the former is...

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

machines has yielded many insights into computer science, computability theory, and complexity theory. In his 1948 essay, "Intelligent Machinery", Turing wrote...

rich theory that is still being actively researched. Alpha recursion theory Arithmetical set Church–Turing thesis Computability logic Computable function...

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

natural-valued function. Computability theory is essentially based on natural numbers and natural (or integer) functions on them. In number theory, many arithmetic...

in this theory, the existence of a surjection from I onto S need not imply the existence of an injection from S into I. In computability theory one often...

In computability theory, a Turing reduction from a decision problem A {\displaystyle A} to a decision problem B {\displaystyle B} is an oracle machine...

In computability theory, hyperarithmetic theory is a generalization of Turing computability. It has close connections with definability in second-order...

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

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

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

The computability aspects of this theorem have been thoroughly investigated by researchers in mathematical logic, especially in computability theory. This...

In computability theory, an undecidable problem is a decision problem for which an effective method (algorithm) to derive the correct answer does not exist...

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

In computability theory, a set of natural numbers is called computable, recursive, or decidable if there exists an algorithm that can correctly decides...

expensive). Therefore, formal language theory is a major application area of computability theory and complexity theory. Formal languages may be classified...