computable functions

S-M-N Theorem

A cornerstone of computable function theory, the S-M-N theorem offers a way to create specific computable functions from general ones,…

4 days ago

Understanding Predicates and Their Representation of Functions and Sets

A predicate P represents a function f if P(x1,...,xn,y) is true iff f(x1,...,xn)=y. A unary predicate P represents set S…

4 days ago

Register Computable

A computation is register computable if it can be performed by a register machine. This concept is fundamental in theoretical…

4 days ago

Minimization in Recursive Function Theory

Minimization is a core operation in recursive function theory, crucial for finding the smallest witness that satisfies a decidable predicate.…

4 days ago

Effectively Computable Functions

An effectively computable function is one that can be calculated by an algorithm. This means a step-by-step procedure exists, guaranteeing…

4 days ago