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 by an effective procedure. It is a key topic of the field of computability theory within mathematical...

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...

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...

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

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...

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...

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

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...

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

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

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

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

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

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

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

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, 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...

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

In computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is proved to be impossible to construct...

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

In computability theory, two disjoint sets of natural numbers are called computably inseparable or recursively inseparable if they cannot be "separated"...

In computability theory, admissible numberings are enumerations (numberings) of the set of partial computable functions that can be converted to and from...

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

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