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and is read as "Head is true if Body is true". A rule's body consists of calls to predicates, which are called the rule's goals. The built-in predicate,/2 (meaning a 2-arity operator with name ,) denotes conjunction of goals, and ;/2 denotes disjunction. Conjunctions and disjunctions can only appear in the body, not in the head of a rule.
λProlog, also written lambda Prolog, is a logic programming language featuring polymorphic typing, modular programming, and higher-order programming.These extensions to Prolog are derived from the higher-order hereditary Harrop formulas used to justify the foundations of λProlog.
For the sake of efficiency, Prolog restricts this order to the order in which the subgoals are written. SLD is also neutral about the strategy for searching the space of SLD proofs. Prolog searches this space, top-down, depth-first, trying different clauses for solving the same (sub)goal in the order in which the clauses are written.
Prolog is a logic programming language that has its origins in artificial intelligence, automated theorem proving and computational linguistics. [1] [2] [3]Prolog has its roots in first-order logic, a formal logic, and unlike many other programming languages, Prolog is intended primarily as a declarative programming language: the program is a set of facts and rules, which define relations.
A rule is called ground if all of its atoms (head and body) are ground. A ground rule R 1 is a ground instance of another rule R 2 if R 1 is the result of a substitution of constants for all the variables in R 2. The Herbrand base of a Datalog program is the set of all ground atoms that can be made with the constants appearing in the program.
The term DCG refers to the specific type of expression in Prolog and other similar languages; not all ways of expressing grammars using definite clauses are considered DCGs. However, all of the capabilities or properties of DCGs will be the same for any grammar that is represented with definite clauses in essentially the same way as in Prolog.
ProbLog is a probabilistic logic programming language that extends Prolog with probabilities. [1] [2] [3] It minimally extends Prolog by adding the notion of a probabilistic fact, which combines the idea of logical atoms and random variables. Similarly to Prolog, ProbLog can query an atom.
The choice rule in Line 1 "generates" all subsets of the set of edges. The three constraints "weed out" the subsets that are not Hamiltonian cycles. The last of them uses the auxiliary predicate r ( x ) {\displaystyle r(x)} (" x {\displaystyle x} is reachable from 0") to prohibit the vertices that do not satisfy this condition.