Download e-book for iPad: Algebraic and Logic Programming: 6th International Joint by M. Alpuente, M. Falaschi, G. Moreno, G. Vidal (auth.),

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

ISBN-10: 3540634592

ISBN-13: 9783540634591

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

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Additional resources for Algebraic and Logic Programming: 6th International Joint Conference ALP '97 — HOA '97 Southampton, UK, September 3–5, 1997 Proceedings

Sample text

Iterate. cond_assert( F) +in_database(F), L cond_assert( F) *assert(F), cond_assert (flag) . in_database(G) functor( G, N, A), Iunetor( B, N, A ), call(B), variant(B, G), L tp_beta ,--user_clause(Head, Body), solve(Head, Body). soZ~e(Head,[ ]) ~toad_assert(fact(Head)). solve( Head, [BIBs]) ,-cond_assert( bin (Head, B )), fact(B), solve (Head, Bs ). solve( Head, [B l-]) ,--bin(B, c), cond_assert( bin( gead, C) ). Fig. 1. , baD. The interpreter can be divided conceptually into two components. On the right, the predicate l;p_beta/0 provides the "logic" and the inner loop of the algorithm which for each user_clause(Head, 36 Body) in P uses the binary unfoldings derived so far to derive new ones.

Without instantiating z in the substitution of ~, the step is stillpossible,but it could become superfluous depending on later steps. ,-,o} true where the first step is useless. However, including {z ,-~ s z e} in ff prevents this derivation. L e m r n a 13. Let t be a term and 8 = (p, R , ~ ) E INS(t) and s e = (tt, R e, os) E INS(t). - ~ (and ~e) is of the form {vl ~+ t l , . . v n ~ tn}, tohere for all i in 1, .... ,n, ti is a linear term whose set of variables is disjoint from the set of variables of tj, for j # i a n d j in 1 , .

The dashed lines indicate instantiation dependencies between argument positions. The monotonicity constraints between argument positions X and Y are described by: a black edge if X = Y, a black arrow if X < Y and a white arrow if X < Y (arrows point towards the smaller position). Figure 2 (b) depicts the abstract call patterns for the initial goal rnult(A, B, C) in which A and B are integer inputs (instantiated enough). A sufficient condition for termination is justified as follows: Assume t h a t Go and P have an infinite derivation.

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Algebraic and Logic Programming: 6th International Joint Conference ALP '97 — HOA '97 Southampton, UK, September 3–5, 1997 Proceedings by M. Alpuente, M. Falaschi, G. Moreno, G. Vidal (auth.), Michael Hanus, Jan Heering, Karl Meinke (eds.)


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