(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...

syntactically complete. Syntactical completeness can also refer to another unrelated concept, also called Post completeness or Hilbert-Post completeness. In this...

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...

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...

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

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

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

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

logical operators, propositional operators, or, in classical logic, truth-functional connectives. For the rules which allow new well-formed formulas to be...

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

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...

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

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

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

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

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

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

human expression in that they require a greater degree of precision and completeness. When using a natural language to communicate with other people, human...

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

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

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

proved the completeness theorem, which establishes a correspondence between syntax and semantics in first-order logic. Gödel used the completeness theorem...

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

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

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

abbreviates "it is warm". In classical logic, disjunction is given a truth functional semantics according to which a formula ϕ ∨ ψ {\displaystyle \phi \lor...

Deductive closure Distributive property Entailment Formation rule Functional completeness Intermediate logic Literal (mathematical logic) Logical connective...

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

four times (instead of three times) that of a single NOR gate. NAND logic — Like NOR gates, NAND gates are also universal gates. Functional completeness...