By Krzysztof R Apt; J W de Bakker; J J M M Rutten

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**Extra info for Logic programming languages : constraints, functions, and objects**

**Example text**

46 J. MalU6zynski et al. Tab.. 2. Compi1ed I Leactb: II vI. 150 10 19 479 1 849 «630 175. 0 0 0 0 0 IDierpreted I Lenctb: II vi. 10 19 9 I 179 89 v2. v3. v4. 1 19200 9 9 40 100 500 39 169 30 10 80 I 1000 339 v2. 500 1879 45550 181569 v4. 9 19 109 210 v3. 9 175. , v3 . a straightforward v4. a tail recursive 20 29 109 29 1 80 210 360 Prolog formulation (with is /2). Prolog formulation . vs. the straightforward Prolog formulation with a red undant call to (the object is to measure the overhead of gfreeze/2 when argument is ground).

Where in Ui . Replace all other unchanged). a constructor term. e. ve u == t 38 9. in t E. is a ground function call. Replace u == t by u J. Maluszynski == s, where et al. t == s is D The set of rules, viewed as an abstract reduction system, is terminat ing and preserves the set of equational unifiers (a proof can be found U of equat ions to unify, the algorithm until no rule is appli cable. D epending on the result of the transformation, it then gives the following result: in [Bon89] ) . transforms When given a set U by applyi n g the rules (in any order ) 1.

Z.. » . The potentially cost ly calls to normalize/2 are now needed only to implement Rule 8. B ut , is Rule 8 really necessary? This is an open quest ion . Application of Rule 8 avoids so m e redun calls to external func t ion s (by removing d up li c at e functional calls) . But the main reason for intro ducing this rule was to obtain a certain completeness result which says that S- unification will produce a "don't know answer" only if t here is r e ally not enough information to determine dant whether it should succeed or fail.