Download Algebraic and Logic Programming: 6th International Joint by M. Alpuente, M. Falaschi, G. Moreno, G. Vidal (auth.), PDF

By M. Alpuente, M. Falaschi, G. Moreno, G. Vidal (auth.), Michael Hanus, Jan Heering, Karl Meinke (eds.)

This e-book constitutes the refereed court cases of the sixth foreign convention on Algebraic and good judgment Programming, ALP '97 and the third overseas Workshop on Higher-Order Algebra, common sense and time period Rewriting, HOA '97, held together in Southampton, united kingdom, in September 1997.
The 18 revised complete papers offered within the e-book have been chosen from 31 submissions. the amount is split in sections on practical and common sense programming, higher-order tools, time period rewriting, varieties, lambda-calculus, and theorem proving methods.

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References 1. F. Benoy and A. King. Inferring argument size relationships with CLP(R). In Sixth International Workshop on Logic Program Synthesis and Trans]ormation (LOPSTR '96), 1996. 2. A. Bossi, N. Cocco, and M. Fabris. Proving Termination of Logic Programs by Exploiting Term Properties. In S. Abramsky and T. Maibanm, editors, Proc. TAPSOFT'91, volume 494 of Lecture Notes in Computer Science, pages 153-180. Springer-Verlag, Berlin, 1991. 45 3. M. Codish and B. Demoen. Analysing logic programs using "prop'-ositional logic programs and a magic wand.

By contrast, we have adopted an er~uation-time choice. Intuitively, the first freezes at the time of a call the non-deterministic choices that will be made to evaluate the arguments of the call, whereas the second does not. Both approaches are plausible and defensible and we defer any decision on their appropriateness to another arena. However, we observe that evaluation-time choice is more natural when semantics are based on rewriting. The call-time choice approach is sound only if some rewrite steps, legal according to the rewrite semantics, are actually prohibited.

This is a straightforward consequence of the following theorem. P, lfp( T ~ ) c< lfp( T~p), follows by showing that Z ~ I T h e o r e m l h . Let al and a2 be concrete atoms such that 0 = m g u ( a t , a2). Let rrl = Pl *'- #1 and r2 = P2 ~-- #2 be abstract atoms such that ~rt o¢ al and 7r2 o¢ a2 and let r3 = Pl *-- {Pl : P~} A/~I A/~2. Then, r s c< alO. The proof relies on the following lemmata: Lemma 16. ( m o s t general c o m m o n instance) Let 7r = a ~-- # and 7r' = a' *---I~' be constrained atoms.

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