RT Book, Section T1 Constraint logic programming with hereditary Harrop formulas A1 Leach Albert, Javier A1 Nieva Soto, Susana A1 Rodríguez-Artalejo, Mario A2 Maluszynski, Jan AB Constraint logic programing (CLP) and hereditary Harrop formulas (HH) are two well-known ways to enhance the expressivity of Horn clauses. In this paper, we present a novel combination of these two approaches. We show how to enrich the syntax and proof theory of HH with the help of a given constraint system, in such a way that the key property of HH as a logic programming language (namely, the existence of uniform proofs) is preserved. We also present a procedure for goal solving, showing its soundness and completeness for computing answer constraints. As a consequence of this result, we obtain a new strong completeness theorem for CLP that avoids building disjunctions of computed answers, as well as a more declarative formulation of a known completeness theorem for HH PB MIT Press, Cambridge SN 0-262-63180-6 YR 1997 FD 1997 LK https://hdl.handle.net/20.500.14352/60588 UL https://hdl.handle.net/20.500.14352/60588 NO Andreka, H. and Nemeti, I. (1978) The generalized completeness of Horn Predicate Logic as a programming language. Acta Cybernetica, 4, 3-10.Clark, K. L. (1978) Negation as failure. In: Gallaire, H. and Minker, J. (eds.), Logic and Databases, pp. 293-322. Plenum Press, New York.Comon, H., Haberstrau, M. and Jouannaud, J. P. (1994) Cycle-syntacticness, and shallow theories. Information & Computation, 111, 154-191.Cohen, J. (1990) Constraint Logic Programming languages. Comm. ACM, 35(7), 52-68.Comon, H. (1993) Complete axiomatizations of some quotient term algebras. Theor. Comput. Sci. 118, 167-191.Darlington, J. and Guo, Y. (1994) Constraint Logic Programming in the Sequent Calculus. In: Pfenning, F. (ed.), LPAR'94. LNAI 822, pp. 200-213. Springer-Verlag.Dershowitz, N. and Manna, Z. (1979) Proving termination with multiset ordering. Comm. ACM, 22(8), 465-476.Hodas, J. S. (1994) Logic Programming in Intuitionistic Linear Logic: Theory, Design and Implementation. PhD Thesis, University of Pennsylvania.Jaar, J. and Lassez, J. L. (1987) Constraint Logic Programming. Proc. 14th ACM Symposium on Principles of Programming Languages, pp. 111-119.Jaar, J. and Michaylov, S. (1987) Methodology and implementation of CLP systems. In: Lassez, J. L. (ed.), ICLP'87, pp. 196-218. MIT Press.Jaar, J. and Maher, M. J. (1994) Constraint Logic Programming: A survey. J. Logic Programming,19(20), 503-581.Jaar,J.,Maher,M.J.,Marriott, K. and Stuckey,P.(1996) The Semantics of Constraint Logic Programs.Technical Report TR 96/39,Department of Computer Science,University of MelbourneJaar, J., Michaylov, S., Stuckey, P. and Yap, R. (1992) The CLP(R) Language and System. ACM Trans. Programming Lang., 14(3), 339-395.Leach, J., Nieva, S. and Rodrguez-Artalejo, M. (1997) Constraint Logic Programming with Hereditary Harrop formulas. In: Ma luszyn ski, J. (ed.), ILPS'97, pp. 307-321. MIT Press.Maher, M. (1987) Logic semantics for a class of committed-choice programs. In: Lassez, J. L. (editor), ICLP'87, pp. 858-876. MIT Press.Miller, D. (1989) A logical analysis of modules in logic programming. J. Logic Programming, 6(1, 2), 79-108.Miller, D. (1992) Unication under a mixed prex. J. Symbolic Computation, 14, 321-358.Miller, D. and Nadathur, G. (1986) Higher-order logic programming. In: Shapiro, E. (ed.), ICLP'86: LNCS 225, pp. 448-462. Springer-Verlag.Miller, D., Nadathur, G., Pfenning, F. and Scedrov, A. (1991) Uniform proofs as a foundation for logic programming. Ann. Pure Appl. Logic, 51(1-2), 125-157.Miller, D., Nadathur, G. and Scedrov, A. (1987) Hereditary Harrop formulas and uniform proof systems. In: Gries, D. (ed.), LICS'87, pp. 98-105. IEEE Press.Nadathur, G. (1993) A proof procedure for the logic of Hereditary Harrop formulas. J. Automated Reasoning, 11, 115-145.Nadathur, G. and Miller, D. (1988) An overview of -Prolog. In: Bowen, K. A. and Kowalski, R. A. (eds.), ICLP'88, pp. 810-827. MIT Press.Saraswat, V. (1992) The category of constraint systems is Cartesian closed. LICS'92, pp. 341-345. IEEE Press.Smolka, G. and Treinen, R. (1994) Records for logic programming. J. Logic Programming, 18(3), 229-258.Van Emden, M. H. and Kowalski, R. H. (1976) The semantics of predicate logic as a programming language. J. ACM, 23(4), 733-742.Tarski, A. (1951) A Decision Method for Elementary Algebra and Geometry. University of California Press. NO Conference: 1997 International Logic Programming Symposium (ILPS 97) Location: Port Washngton, New York Date: Oct 13-16, 1997 NO Spanish National Project NO Esprit BRA Working Group DS Docta Complutense RD 19 may 2024