De Morgan's rules provide two fundamental laws for transforming negated logical expressions. They state that the negation of a conjunction…
De Morgan duality reveals the relationship between AND and OR logical operators. It states that negating a conjunction equals the…
A decision procedure is a systematic algorithm that determines if statements are theorems or non-theorems within a logical system. It…
Dagger represents the logical NOR gate, a fundamental concept in digital electronics. It outputs true only when all inputs are…
A fundamental procedure in proof theory that systematically removes 'cuts' from a proof. This process simplifies proofs and demonstrates that…
A cut rule in proof theory introduces an intermediate conclusion within a deductive proof. This intermediate step is then utilized…
A fundamental principle in mathematics and logic, course of values recursion defines a function by its behavior on smaller arguments.…
Coreflexivity, a property of binary relations, asserts that every element within the set is related to itself. This concept is…
A constructive proof shows a mathematical object exists by providing a method to build it. This contrasts with indirect proofs,…
Constructive logic emphasizes explicit proofs of existence, demanding a concrete construction rather than indirect reasoning. It's a foundational approach in…