Computer Science

Complexity Class

Complexity classes categorize decision problems by their computational difficulty. They group problems solvable within similar resource limits, like time or…

4 days ago

Completeness in Logic

Completeness in logic refers to a system's ability to derive every logically valid formula. It ensures that all truths provable…

4 days ago

Combinatory Terms and Combinators

Combinatory terms are fundamental to combinatory logic, a system for exploring computation and function abstraction. They are built using combinators,…

4 days ago

Combinatory Logic

Combinatory logic is a branch of mathematical logic that aims to simplify mathematical expressions by replacing variables with combinators. It…

4 days ago

Combinator in Combinatory Logic

A combinator is a fundamental function or expression in combinatory logic. It operates on arguments to produce results, crucially without…

4 days ago

Classical Logic

Classical logic, founded on bivalence, non-contradiction, and excluded middle, is the traditional system for propositional and predicate logic. It forms…

4 days ago

Church–Turing Thesis

The Church-Turing thesis posits that any function computable by a human can be computed by a Turing machine. It defines…

4 days ago

Chronological Logic

Chronological logic, also known as temporal modal logic, deals with reasoning about time and events. It extends classical logic by…

4 days ago

Category Theory

Category theory is a branch of mathematics that abstracts algebraic structures and their relationships. It offers a unifying framework across…

4 days ago

Category Theory: A Foundation for Mathematical Structures

A category is a fundamental structure in mathematics and logic, comprising objects and the relationships (morphisms) between them. It provides…

4 days ago