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By Harold Boley

As in different fields, in computing device technological know-how sure gadgets of analysis will be synthesized from diverse simple components, in numerous methods, and with diverse ensuing stabilities. In subfields resembling man made intelligence, computational common sense, and programming languages quite a few relational and sensible elements and strategies were attempted for the synthesis of declarative programs.
This textual content considers the notions of family, as present in good judgment programming or in relational databases, and of features, as present in useful programming or in equational languages. We learn a declarative integration that's tight, since it happens correct on the point of those notions, and that is nonetheless sensible, since it preserves some great benefits of the commonly used relational and practical languages PROLOG and LISP. The ensuing relational and practical language, RELFUN, is used right here for exemplifying all integration principles.

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

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While the main n u l l a r y g e n i n t s / 0 generates all integers, the auxiliary u n a r y g e n i n t s / 1 can also be called as g e n i n t s ( S i g n [ . . S i g n [ 0 ] . . ] ) to generate the integers whose absolute value is not less than the 'absolute' argument, as g e n i n t s (s [0] ) to generate the positive integers, as g e n i n t s (p [0] ) to generate the negative integers, and in other meaningful ways. 5RELFUN accesses a selected subset of COMMON LISP functions as builtins.

S o r t e d ( [X] ) :& [X]. s o r t e d ( [X,YI Z]) :- lesseq(X,Y) & t u p ( X l s o r t e d ( [ Y I Z ] ) ) . This s o r t e d function returns sorted lists unchanged (for non-ground ones like [s [0] ,E, s [s [0] ] ] enumerating their correct instantiations, here [s [0], s [0], s [s [0] ] ] and [s [0], s [s [0] ], s [s [0] ] ] ), and falls for unsorted lists (such as the non-ground [s [s [0] ], E, s [0] ]). Below, a sample s o r t e d call is given, which occurs in an (internally nonground and non-deterministic) functional version of the well-known relational slow-sort program [Llo87].

5 directly transfers to function variables and structures. = ap(F,ap(naturals,0,V)) & V. -- F(naturals(O,V))) & V. ) ! ) 42 changing F from a function variable into an argument variable. The effects on the WAM implementation are the same as discussed for higher-order relations. 4 The Logic/Functional Style in Use Several RELFUN projects have explored the use of relational/functional programming for non-toy problems: the language has been evaluated and tuned by programs for realistic tasks such as hypergraph processing [Bo192a], NC-program generation [BHH+91, BPS97], and materials engineering [BBK94].

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