kind of negation is known as weak negation, in contrast with the strong (i.e. explicit, provable) negation. In Planner, negation as failure could be...

{\displaystyle P} " is "Spot does not run". An operand of a negation is called a negand or negatum. Negation is a unary logical connective. It may furthermore be...

semantics for logic programs with negation as failure. This is one of several standard approaches to the meaning of negation in logic programming, along with...

In many cases, the use of cut can be replaced by negation as failure. In fact, negation as failure can be defined in Prolog, by using cut, together with...

logical backgrounds are based on CWA or OWA. Negation as failure is related to the closed-world assumption, as it amounts to believing false every predicate...

of Aberdeen. It anticipated a number of features of Prolog such as negation as failure, aggregation operators, the central role of backtracking and constraint...

showed that it has its "procedural equivalent" as negation as failure in Prolog. The closed world assumption, as formulated by Reiter, "is not a first-order...

language and machine learning. It has also been used to interpret negation as failure as a form of abductive reasoning. Abductive logic programs have three...

which gave rise to the “Negation as Failure” terminology in Planner. Use of the Unique Name Assumption and Negation as Failure became more questionable...

definition cites Hilbert's two axioms of negation A → (~A → B) (A → B) → { (~A → B) → B} Hilbert's first axiom of negation, "anything follows from the false"...

which is used to give a semantics to logic programming with negation as failure, can be seen as a simplified form of autoepistemic logic. The syntax of autoepistemic...

circumscription and negation as failure". Artificial Intelligence. 38 (1): 75–94. doi:10.1016/0004-3702(89)90068-4. Clark, K.L. (1977). "Negation as Failure". Logic...

refutation complete for Horn clauses. Given a goal clause, represented as the negation of a problem to be solved: ¬ L 1 ∨ ⋯ ∨ ¬ L i ∨ ⋯ ∨ ¬ L n {\displaystyle...

partially true. Non-monotonic logics, including logic programming with negation as failure, are designed to handle default reasoning. Other specialized versions...

clauses as procedures: to show/solve H, show/solve B1 and ... and Bn. Pure Prolog was soon extended, however, to include negation as failure, in which...

pro-Russian separatists fighting the Ukrainian government for independence Negation as failure, logic in which a statement that cannot be shown to be true is considered...

approach, negation nodes generally activate further beta nodes directly, rather than storing their output in an additional beta memory. Negation nodes provide...

provides negation as failure, which allows for non-monotonic reasoning. The goal \+ illegal(X) in the rule legal(X) :- \+ illegal(X). is evaluated as follows:...

each other via negation. The rules can be expressed in English as: The negation of "A and B" is the same as "not A or not B". The negation of "A or B" is...

semantics can handle stratified negation, several implementations of Datalog implement stratified negation. While stratified negation is a common extension to...

clause programs by allowing negative conditions, implemented by negation as failure. Such extended logic programs have the knowledge representation capabilities...

definitions by including the use of negative conditions, implemented by negation as failure, as in the definition: even(0). even(s(X)) :- not(even(X)). Definition...

assumption, and autoepistemic logic. Philosophy portal Logic programming Negation as failure Stable model semantics Rational consequence relation Strasser, Christian;...

application of law, precedents are overturned as well as followed. In logic programming approaches, negation as failure is often used to handle non-monotonicity...

negation. As well as logical or bitwise complement, systems may support existential forms of strong and weak negation including negation-as-failure and...

negation: if a negative atom cannot be proved to be true, then it is assumed to be false. Note, however, that Prolog uses the so-called negation as failure:...

frequently used built-in predicates, arithmetic, control flow, and negation as failure. Prolog can easily be compiled into this language, and the abstract...

To negate a complete statement one uses sentence negation: It is false that a customer inserts a card. These forms of negation are logical negations, i...

Horn clause subset of FOL. But later extensions of LP included the negation as failure inference rule, which turns LP into a non-monotonic logic for default...

default negation ("naf" stands for Negation as failure, based on the well-founded semantics); Flora-2 also supports so-called explicit negation, which...