nichtor

Nichtor is a term used to describe a logical operator that implements the negation of disjunction. For two inputs A and B, nichtor yields true exactly when both A and B are false; equivalently, it is not (A or B), a function commonly known as the NOR operation. In logic and digital electronics, nichtor is often treated as synonymous with NOR.

Etymology and usage: The term combines German nicht (not) with English or, signaling the negated disjunction concept. It appears in informal discussions, teaching materials, and some introductory texts about logic as a concise way to refer to NOR without using the English word “nor.”

Properties and role: Nichtor is a commutative binary connective but is not generally associative. It is functionally complete, meaning that any boolean function can be constructed using only nietor/nichtor gates, which makes it popular in theoretical discussions and in simple circuit designs.

Contexts: In puzzle communities and educational wikis, nichtor is used as a stand-in operator in truth-table problems and explanations of boolean algebra. As a real-world term, it is largely synonymous with NOR and is mainly encountered in didactic or exploratory writings rather than formal standards. See also NOR gate, boolean algebra, and negation.