computability theory

Iteration Theorem

The iteration theorem, also known as the Smn theorem, is a fundamental result in computability theory. It states that for…

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

Computable Function

A computable function is a mathematical function that can be calculated by an algorithm. This means a step-by-step procedure exists…

4 days ago

Busy Beaver Problem

The Busy Beaver problem explores the limits of computation by seeking Turing machines that exhibit maximal behavior (output or runtime)…

4 days ago

Provability Predicate

A provability predicate is a mathematical function that determines whether a statement is provable within a given formal system. It's…

4 days ago