Gabriel Aranda-López
ABSTRACT
This work is aimed to show a concrete implementation of a deductive database system based on the scheme HH_(C) (Hereditary Harrop Formulas with Negation and Constraints) following a fixpoint semantics proposed in a previous work. We have developed a Prolog implementation for this scheme that is constraint system independent, therefore allowing to use it as a base for any instance of the formal scheme. We have developed several specific constraint systems: Real numbers, integers, Boolean and user-defined enumerated types. We have added types to the database so that relations become typed (as tables in relational databases) and each constraint is mapped to its corresponding constraint system. The predicates that compute the fixpoint giving the meaning to a database are described. In particular, we show the implementation of a forcing relation (for derivation steps) and highlight how the inherent difficulties have been overcome in a system allowing hypothetical queries, which make the database dynamically grow.
- F. Arni, K. Ong, S. Tsur, Haixun Wang, and C. Zaniolo. The Deductive Database System LDL. Theory and Practice of Logic Programming, 3 (1): 61--94, 2003. Google Scholar
Digital Library
- M. Becker, C. Fournet, and A. Gordon. Design and Semantics of a Decentralized Authorization Language. In CSF '07: Proceedings of the 20th IEEE Computer Security Foundations Symposium, pages 3--15, Washington Francesco, DC, USA, 2007. IEEE Computer Society. ISBN 0-7695-2819-8. http://dx.doi.org/10.1109/CSF.2007.18. Google ScholarDigital Library
- C. Beeri and R. Ramakrishnan. On the power of magic. Journal of Logic Programming, 10 (3-4): 255--299, 1991. ISSN 0743-1066. http://dx.doi.org/10.1016/0743-1066(91)90038-Q. Google ScholarDigital Library
- A. Calí, G Gottlob, and T. Lukasiewicz. Datalog±: a unified approach to ontologies and integrity constraints. In ICDT '09: Proceedings of the 12th International Conference on Database Theory, pages 14--30, New York, NY, USA, 2009. ACM. ISBN 978-1-60558-423-2. http://doi.acm.org/10.1145/1514894.1514897. Google ScholarDigital Library
- C. Castro and E. Monfroy. Designing hybrid cooperations with a component language for solving optimisation problems. In International Conference on Artificial Intelligence: Methodology, Systems and Applications 2004, volume 3192 of LNCS, pages 447--458. Springer, 2004.Google ScholarCross Ref
- R. Fikes, P.J. Hayes, and I. Horrocks. OWL-QL -- a language for deductive query answering on the Semantic Web. Journal of Web Semantics, 2 (1): 19--29, 2004. URL http://www.informatik.uni-trier.de/~ley/db/journals/ws/ws2.html#F%ikesHH04. Google ScholarDigital Library
- M. García-Díaz and S. Nieva. Solving Constraints for an Instance of an Extended CLP Language over a Domain based on Real Numbers and Herbrand Terms. Journal of Functional and Logic Programming, 2003 (2), September 2003.Google Scholar
- L. Granvilliers, E. Monfroy, and F. Benhamou. Cooperative solvers in constraint programming: a short introduction. ALP Newsletter, 14 (2), 2001.Google Scholar
- P. Hofstedt and P. Pepper. Integration of declarative and constraint programming. Theory and Practice of Logic Programming, 7 (1-2): 93--121, 2007. ISSN 1471-0684. http://dx.doi.org/10.1017/S1471068406002833. Google ScholarDigital Library
- C. Holzbaur. Realization of forward checking in logic programming through extended unification. Report TR-90-11, Oesterreichisches Forschungsinstitut fuer. Artificial Intelligence, 1990.Google Scholar
- M. Jarke, M. A. Jeusfeld, and C. Quix. ConceptBase V7.1 User Manual. Technical report, RWTH Aachen, April 2008.Google Scholar
- M.S. Lam, S. Whaley, B.V. Livshits, M.C. Martin, D. Avots, M. Carbin, and C. Unkel. Context-sensitive program analysis as database queries. In Chen Li, editor, Symposium on Principles of Database Systems (PODS), pages 1--12. ACM, 2005. ISBN 1-59593-062-0. Google ScholarDigital Library
- J. Leach, S. Nieva, and M. Rodríguez-Artalejo. Constraint Logic Programming with Hereditary Harrop Formulas. Theory and Practice of Logic Programming, 1 (4): 409--445, 2001. Google ScholarDigital Library
- N. Leone, G. Pfeifer, W. Faber, T. Eiter, G. Gottlob, S. Perri, and F. Scarcello. The DLV system for knowledge representation and reasoning. ACM Transactions on Computational Logic, 7 (3): 499--562, 2006. Google ScholarDigital Library
- S. Nieva, F. Sáenz-Pérez, and J. Sánchez. Towards a constraint deductive database language based on hereditary harrop formulas. In P. Lucio and F. Orejas, editors, Sextas Jornadas de Programación y Lenguajes, PROLE, pages 171--182, 2006.Google Scholar
- S. Nieva, F. Sáenz-Pérez, and J. Sánchez. Formalizing a Constraint Deductive Database Language based on Hereditary Harrop Formulas with Negation. In FLOPS'08, Proceedings, volume 4989 of Lecture Notes in Computer Science, pages 289--304, Ise, Japan, 2008. Springer-Verlag. Google ScholarDigital Library
- G. Ramalingam and Eelco Visser, editors. Proceedings of the 2007 ACM SIGPLAN Workshop on Partial Evaluation and Semantics-based Program Manipulation, 2007, Nice, France, January 15-16, 2007, 2007. ACM. ISBN 978-1-59593-620-2. Google Scholar
- R. Ronen and O. Shmueli. Evaluating very large datalog queries on social networks. In EDBT '09: Proceedings of the 12th International Conference on Extending Database Technology, pages 577--587, New York, NY, USA, 2009. ACM. ISBN 978-1-60558-422-5. http://doi.acm.org/10.1145/1516360.1516427. Google ScholarDigital Library
- F. Sáenz-Pérez. Datalog Educational System. User's Manual version 1.6.2. Technical report, Faculty of Computer Science, UCM, march 2009. Available from http://des.sourceforge.net/.Google Scholar
- K. Sagonas, T. Swift, and D.S. Warren. XSB as an efficient deductive database engine. In SIGMOD '94: Proceedings of the 1994 ACM SIGMOD international conference on Management of data, pages 442--453, New York, NY, USA, 1994. ACM. ISBN 0-89791-639-5. http://doi.acm.org/10.1145/191839.191927. Google ScholarDigital Library
- Y. Shen, L. Yuan, and J. You. Slt-resolution for the well-founded semantics. Journal of Automated Reasoning, 28: 53--97, 2002. Google ScholarDigital Library
- H. Tamaki and T. Sato. Old resolution with tabulation. In Proceedings on Third international conference on logic programming, pages 84--98, New York, NY, USA, 1986. Springer-Verlag New York, Inc. ISBN 0-387-16492-8. Google ScholarDigital Library
- A. Van Gelder, K.A. Ross, and J.S. Schlipf. The well-founded semantics for general logic programs. J. ACM, 38 (3): 619--649, 1991. ISSN 0004-5411. http://doi.acm.org/10.1145/116825.116838. Google ScholarDigital Library
- J. Wielemaker. SWI-Prolog. User's Manual version 5.6.64, 2009. Available from http://www.swi-prolog.org/.Google Scholar
- C. Zaniolo, S. Ceri, C. Faloutsos, R.T. Snodgrass, V.S. Subrahmanian, and R. Zicari. Advanced Database Systems. Pages 180--183, Morgan Kaufmann Publishers Inc., San Francisco, CA, USA, 1997. ISBN 1-55860-443-X. Google ScholarDigital Library
Index Terms
- Implementing a fixed point semantics for a constraint deductive database based on hereditary harrop formulas
Recommendations
Constraint Logic Programming with Hereditary Harrop formulas
Constraint Logic Programming (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 ...
Formalizing a constraint deductive database language based on hereditary Harrop formulas with negation
FLOPS'08: Proceedings of the 9th international conference on Functional and logic programmingIn this paper, we present an extension of the scheme HH(C) (Hereditary Harrop formulas with Constraints) with a suitable formulation of negation in order to obtain a constraint deductive database query language. In addition to constraints, our proposal ...
On stratified disjunctive programs
We address the problem of a consistent fixpoint semantics for general disjunctive programs restricted to stratifiable programs which do not recurse through negative literals. We apply the nonmonotonic fixpoint theory developed by Apt, Blair and Walker ...
Comments