In recursion theory, α recursion theory is a generalisation of recursion theory to subsets of admissible ordinals α {\displaystyle \alpha } . An admissible...

In the formal language theory of computer science, left recursion is a special case of recursion where a string is recognized as part of a language by...

\{v_{\beta }\mid \beta <\alpha \}} . This process stops when no vector can be chosen. More formally, we can state the Transfinite Recursion Theorem as follows:...

between KP, generalized recursion theory, and the theory of admissible ordinals. KP can be studied as a constructive set theory by dropping the law of...

functions by repeatedly applying the following rules of substitution and recursion: The basic functions are: Projection: Pn,m (x1, ..., xn) = xm for 0 ≤ m ≤ n...

and computational theorists who study recursion theory will refer to it as computability theory. Complexity theory considers not only whether a problem...

twistor action for full Yang–Mills theory in twistor space. Another key development was the introduction of BCFW recursion. This has a natural formulation...

answers to these questions have led to a rich theory that is still being actively researched. Alpha recursion theory Arithmetical set Church–Turing thesis Computability...

set in this hierarchy is assigned (by transfinite recursion) an ordinal number α {\displaystyle \alpha } , known as its rank. The rank of a pure set X {\displaystyle...

Odifreddi, 1989. Classical Recursion Theory, North-Holland. ISBN 0-444-87295-7 P. Odifreddi, 1999. Classical Recursion Theory, Volume II, Elsevier. ISBN 0-444-50205-X...