Recursive function theory explores the properties of recursive functions, focusing on their computability and classification within complexity hierarchies. It's fundamental…
An open term is an expression in a formal language with free variables. It doesn't represent a specific object or…
Minimization is a core operation in recursive function theory, crucial for finding the smallest witness that satisfies a decidable predicate.…
A formal system for computation based on function abstraction and application. It uses variable binding and substitution to express computation,…
Combinatory terms are fundamental to combinatory logic, a system for exploring computation and function abstraction. They are built using combinators,…
Combinatory logic is a branch of mathematical logic that aims to simplify mathematical expressions by replacing variables with combinators. It…
A combinator is a fundamental function or expression in combinatory logic. It operates on arguments to produce results, crucially without…
The Church-Turing thesis posits that any function computable by a human can be computed by a Turing machine. It defines…
Church's theorem proves the undecidability of fundamental decision problems in logic, like the Entscheidungsproblem. It demonstrates that no logic can…