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  2. Prolog syntax and semantics - Wikipedia

    en.wikipedia.org/wiki/Prolog_syntax_and_semantics

    Operationally, Prolog's execution strategy can be thought of as a generalization of function calls in other languages, one difference being that multiple clause heads can match a given call. In that case, the system creates a choice-point, unifies the goal with the clause head of the first alternative, and continues with the goals of that first ...

  3. Definite clause grammar - Wikipedia

    en.wikipedia.org/wiki/Definite_clause_grammar

    Using Prolog's notation for lists, a singleton list prefix P = [H] can be seen as the difference between [H|X] and X, and thus represented with the pair ([H|X],X), for instance. Saying that P is the difference between A and B is the same as saying that append(P,B,A) holds. Or in the case of the previous example, append([H],X,[H|X]).

  4. Prolog - Wikipedia

    en.wikipedia.org/wiki/Prolog

    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.

  5. Syntax and semantics of logic programming - Wikipedia

    en.wikipedia.org/wiki/Syntax_and_semantics_of...

    Each such rule can be read as an implication: … meaning "If each is true, then is true". Logic programs compute the set of facts that are implied by their rules. Many implementations of Datalog, Prolog, and related languages add procedural features such as Prolog's cut operator or extra-logical features such as a foreign function interface.

  6. Sentence (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Sentence_(mathematical_logic)

    The following example in first-order logic (=) is a sentence. This sentence means that for every y, there is an x such that =. This sentence is true for positive real numbers, false for real numbers, and true for complex numbers. However, the formula

  7. Boolean-valued function - Wikipedia

    en.wikipedia.org/wiki/Boolean-valued_function

    A Boolean-valued function (sometimes called a predicate or a proposition) is a function of the type f : X → B, where X is an arbitrary set and where B is a Boolean domain, i.e. a generic two-element set, (for example B = {0, 1}), whose elements are interpreted as logical values, for example, 0 = false and 1 = true, i.e., a single bit of information.

  8. Logic programming - Wikipedia

    en.wikipedia.org/wiki/Logic_programming

    Prolog provides other features, in addition to cut, that do not have a logical interpretation. These include the built-in predicates assert and retract for destructively updating the state of the program during program execution. For example, the toy blocks world example above can be implemented without frame axioms using destructive change of ...

  9. Predicate (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Predicate_(mathematical_logic)

    A predicate is a statement or mathematical assertion that contains variables, sometimes referred to as predicate variables, and may be true or false depending on those variables’ value or values. In propositional logic, atomic formulas are sometimes regarded as zero-place predicates. [1] In a sense, these are nullary (i.e. 0-arity) predicates.