(expressively) adequate. From the point of view of digital electronics, functional completeness means that every possible logic gate can be realized as a network...

by using a combination of NAND gates. This property is called "functional completeness". It shares this property with the NOR gate. Digital systems employing...

the negation of the disjunction: Peirce is the first to show the functional completeness of non-disjunction while he doesn't publish his result. Peirce...

example, Gödel's completeness theorem establishes semantic completeness for first-order logic. A formal system S is strongly complete or complete in the strong...

their functional completeness. In 1913, Sheffer described non-disjunction using ∣ {\displaystyle \mid } and showed its functional completeness. Sheffer...

over NOR gates in CMOS circuits. The NOR gate has the property of functional completeness, which it shares with the NAND gate. That is, any other logic function...

truth-functional logical calculus does not need to have dedicated symbols for all of the above-mentioned functions to be functionally complete. This is...

Thus, in a sense, there is a different completeness theorem for each deductive system. A converse to completeness is soundness, the fact that only logically...

Different implementations of classical logic can choose different functionally complete subsets of connectives. One approach is to choose a minimal set...

adopt. A truth-functionally complete set of connectives is also called simply functionally complete, or adequate for truth-functional logic, or expressively...

information see Logic gate symbols. While the Implication gate isn't functionally complete by itself, it is in conjunction with the constant 0 source. This...

elements make this architecture Turing-complete. Even pure functional languages are Turing-complete. Turing completeness in declarative SQL is implemented...

The NAND Boolean function has the property of functional completeness. This means that any Boolean expression can be re-expressed by an equivalent expression...

scheme, there are propositions that cannot be proven that way. Functional completeness is a term used to describe a special property of finite logics...

Conditioned disjunction Evasive Boolean function Exclusive or Functional completeness Logical biconditional Logical conjunction Logical disjunction Logical...

connectives { ∧ , ∨ , ¬ } {\displaystyle \{\land ,\lor ,\neg \}} is functionally complete, these results show that the sets of connectives { ∧ , ¬ } {\displaystyle...

classical semantic perspective, material implication is the binary truth functional operator which returns "true" unless its first argument is true and its...

In computer science, functional programming is a programming paradigm where programs are constructed by applying and composing functions. It is a declarative...

In functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative...

is additionally required to provide logical inversion (NOT) for functional completeness and amplification for voltage level restoration, which diode logic...

Fan-out Field-programmable gate array (FPGA) Flip-flop (electronics) Functional completeness Integrated injection logic Karnaugh map Combinational logic List...

are complete are called geodesic manifolds; completeness follows from the Hopf–Rinow theorem. Every compact metric space is complete, though complete spaces...

Turing-complete MacLennan, Bruce J. (1987). Principles of Programming Languages. Oxford University Press. p. 1. ISBN 978-0-19-511306-8. "Turing Completeness"...

9126's six), and 31 subcharacteristics. "Functionality" is renamed "functional suitability". "Functional completeness" is added as a subcharacteristic, and...

minimizer Excitation table State-transition table First-order logic Functional completeness Karnaugh maps Logic gate Logical connective Logical graph Mathematical...

Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related...

to create (by composition) any arbitrary Boolean function (see functional completeness) The algebraic degree of a function is the order of the highest...

the grammar of types. Barendregt originally introduced the term "functional completeness" in the context of combinatory algebra. Kappa calculus arose out...

mathematics and linguistics, and ( ∧ {\displaystyle \wedge } ) is the truth-functional operator of conjunction or logical conjunction. The logical connective...

Functional testing can evaluate compliance to functional requirements. Sometimes, functional testing is a quality assurance (QA) process. Functional testing...