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The syntax and semantics of Prolog, a programming language, are the sets of rules that define how a Prolog program is written and how it is interpreted, respectively.The rules are laid out in ISO standard ISO/IEC 13211 [1] although there are differences in the Prolog implementations.
A faithful functor need not be injective on objects or morphisms. That is, two objects X and X′ may map to the same object in D (which is why the range of a full and faithful functor is not necessarily isomorphic to C), and two morphisms f : X → Y and f′ : X′ → Y′ (with different domains/codomains) may map to the same morphism in D.
Functors used in this manner are analogous to the original mathematical meaning of functor in category theory, or to the use of generic programming in C++, Java or Ada. In Haskell, the term functor is also used for a concept related to the meaning of functor in category theory. In Prolog and related languages, functor is a synonym for function ...
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 functor from G to Set is then nothing but a group action of G on a particular set, i.e. a G-set. Likewise, a functor from G to the category of vector spaces, Vect K, is a linear representation of G. In general, a functor G → C can be considered as an "action" of G on an object in the category C. If C is a group, then this action is a group ...
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.
Poplog implements a version of Standard ML, along with Common Lisp and Prolog, allowing mixed language programming; all are implemented in POP-11, which is compiled incrementally. TILT is a full certifying compiler for Standard ML which uses typed intermediate languages to optimize code and ensure correctness, and can compile to typed assembly ...
The basic types in Fril are similar to those in Prolog, with one important exception: Prolog's compound data type is the term [broken anchor], with lists defined as nested terms using the . functor; in Fril, the compound type is the list itself, which forms the basis for most constructs.