By Harold Boley

As in different fields, in desktop technological know-how sure items of research will be synthesized from various uncomplicated components, in numerous methods, and with various ensuing stabilities. In subfields akin to synthetic intelligence, computational good judgment, and programming languages quite a few relational and practical materials and methods were attempted for the synthesis of declarative programs.
This textual content considers the notions of kinfolk, as present in good judgment programming or in relational databases, and of features, as present in sensible programming or in equational languages. We examine a declarative integration that's tight, since it occurs correct on the point of those notions, and that is nonetheless useful, since it preserves the benefits of the generally used relational and practical languages PROLOG and LISP. The ensuing relational and practical language, RELFUN, is used the following for exemplifying all integration principles.

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Extra resources for A Tight, Practical Integration of Relations and Functions

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For example, while ordinary PROLOGs' ternary append relation is already quite flexible, LM-PROLOG [CK85] defines a natural N-ary extension (N > 0), which in RELFUN is rewritten as append([]). a p p e n d ( T o t a l , [ ] l B a c k ) :- append(TotallBack). a p p e n d ( [ F i r s t l T o t a l ] , [ F i r s t l F r o n t ] l B a c k ) :append(Total,FrontlBack). It 'contains' LISP's unary n u l l predicate, a l i s t - t y p e d PROLOG-like binary "=" relation, and a permuted, l i s t - t y p e d version of PROLOG's ternary append relation (append(l, [] ,1) won't succeed), but is actually a varying-arity relation, which can be used in surprisingly diverse ways.

Thus, r e v i s e is a ternary function applying any unary function F to the Nth element of a list (for N greater than the list length or N less than 1 it returns the list unchanged): revise(F,N,[]) :& []. revise(F,l,[H[T]) :~ tup(F(H)[T). revise(F,N,[HIT]) :& tup(Hlrevise(F,l-(N),T)). Similarly, the sort function could be parameterized by a Compare relation to be handed to the sorted filter,which would abstract from the specific lesseq relation (in particular, from the representation of naturals as s structures).

The language's operational side stems from its origin as a pure-LISP-based interpreter. Also the present version is both implemented in, and can access precoded functionality from (a subset of) COMMON LISP. Besides the deftnitional interpreter this implementation consists of a WAM compiler/emulator system. The RELFUN-in-LISP implementation runs all the examples to be presented here, where the speed is acceptable except, understandably, for the LISP-in-RELFUN example. RELFUN's integrating concept is valued clauses, encompassing both PROLOG-style Horn clauses (for defining relations) and directed conditional equations (for defining functions).

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