By Harold Boley
As in different fields, in machine technology yes items of analysis could be synthesized from diversified uncomplicated parts, in numerous methods, and with diversified ensuing stabilities. In subfields akin to man made intelligence, computational common sense, and programming languages quite a few relational and practical constituents and methods were attempted for the synthesis of declarative programs.
This textual content considers the notions of family members, as present in common sense programming or in relational databases, and of capabilities, as present in sensible programming or in equational languages. We research a declarative integration that is tight, since it happens correct on the point of those notions, and that's nonetheless useful, since it preserves some great benefits of the commonly used relational and practical languages PROLOG and LISP. The ensuing relational and useful language, RELFUN, is used right here for exemplifying all integration principles.
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Extra info for A Tight, Practical Integration of Relations and Functions
Thus, [X,YIZ] reduces to cns [X, cns [Y, Z] ]. This "lists-to-structures"transformation is used both for W A M compilation and mathematical formalization. Note that the sorted relation definition in P R O L O G / R E L F U N 26 sorted(). sorted([X]). sorted([X,Y[Z]) :- lesseq(X,Y), sorted([YlZ]). and its cns-reduced form in R E L F U N sorted(nil). sorted (cns [X ,nil] ). sorted (cns [X, cns [Y, Z] ] ) :- lesseq(X,Y), sorted(cns[Y,Z]). consistently employ square brackets to indicate the 'passiveness' of lists and structures, while in P R O L O G the cns-reduced form would employ round parentheses.
G. joining p a i r [o, Y3] and p a i r [o,Y5] via Y5 -- Y3); now numbered can count the ascending items, left to right, at the fringe of the tree and note the resulting serial numbers by "inplace updates" (more precisely, "inplace specializations") in the second p a i r arguments, which by logical-variable equality instantiate p a i r l i s t s ' prospective answer list to the final, ground result. g. the s t r i n g < builtin below, expects constant items): the main s e r i a l i s e algorithm just employs a relational syntax to express a non-invertible function from item lists 43 to serial-number lists, while it does make an essential, "two-results" use of the subrelation p a r t i t i o n and of intermediate non-ground terms.
1, the shortened footed d e n s i t y rule above is not a molecular rule since its foot evaluates an expression. The most natural use of the DATAFUN database would be functional calls like d e n s i t y ( u s a ) , returning the d e n s i t y value for usa. However, these rule formulations could also be inverted or even be called freely to enumerate all country/density pairs as in the relational call d e n s i t y ( C n t r y , D n s t y ) (delivering both countries and their densities as bindings) or the functional call d e n s i t y ( e n t r y ) (delivering countries as bindings with their densities as values).
A Tight, Practical Integration of Relations and Functions by Harold Boley