Explore infinitary concepts, dealing with expressions of infinite length in logic, languages, and operations. Essential for advanced theoretical computer science…
An effectively decidable relation is one where a mechanical method can definitively determine if a pair of elements satisfies the…
A deterministic Turing machine (DTM) is a theoretical model of computation. For every state and input symbol, it has exactly…
A computable function is a mathematical function that can be calculated by an algorithm. This means a step-by-step procedure exists…
Complexity theory investigates the inherent difficulty of computational problems. It analyzes the resources, like time and memory, required to find…
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…
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…
The Busy Beaver problem explores the limits of computation by seeking Turing machines that exhibit maximal behavior (output or runtime)…