By Harold Boley
As in different fields, in computing device technology convinced gadgets of analysis may be synthesized from diversified uncomplicated components, in numerous methods, and with diverse ensuing stabilities. In subfields akin to man made intelligence, computational good judgment, and programming languages a number of relational and practical parts 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 learn a declarative integration that's tight, since it occurs correct on the point of those notions, and that's nonetheless functional, since it preserves some great benefits of the generally used relational and sensible languages PROLOG and LISP. The ensuing relational and useful language, RELFUN, is used the following for exemplifying all integration principles.
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Extra info for A Tight, Practical Integration of Relations and Functions
1 Functions Defined by Footed Clauses DATAFUN as a Functional Database Language We now proceed to functions, first considering DATAFUN, the functional subset of RELFUN corresponding to PROLOG's DATALOG subset. 1 Molecular Rules and Non-ground Functions Let us consider the database example in [WPP77], containing the following DATALOG facts about country areas (given in thousands of square miles): 32 area(china,3380). area(india,l139). area(ussr, 8708). area(usa, 3609). ) Therefore 3, in our opinion this 'historical' DATAL O G example should be rewritten functionally, as already implied in [GM84].
3 can be generalized to arbitrary constructors, using a single fact: argumenteq (F [ [Args], G [ ]Args] ). A converse definition, of c o n s t r u c t o r e q , constructoreq(F[[Argsl],F[[Args2]). may be used to check equality of only the 'types' of two structures, as in the successful c o n s t r u c t o r e q ( s t a p l e [paper, book], s t a p l e [book, f o l d e r , X] ). For PROLOG's structures c o n s t r u c t o r e q could be simulated by two calls of the f u n c t o r builtin. Constructor structures embody parameterized constructors such as s t a c k [ i n t e g e r ] , which are themselves applicable to arguments as in s t a c k [ i n t e g e r ] [3,1,21.
To generate the integers whose absolute value is not less than the 'absolute' argument, as g e n i n t s (s  ) to generate the positive integers, as g e n i n t s (p  ) to generate the negative integers, and in other meaningful ways. 5RELFUN accesses a selected subset of COMMON LISP functions as builtins. Unusually named examples are the numeric successor and predecessor functions 1+ and 1o, whose application to an argument, say 6, in mathematical or PROLOG syntax becomes 1+(6) and 1-(6), returning 7 and 5, respectively.