Abstract
We introduce a compositional characterization of the operational semantics of equational Horn programs. Then we show that this semantics and the standard operational semantics based on (basic) narrowing coincide. We define an abstract narrower mimicking this semantics, and show how it can be used as a basis for efficient AND-compositional program analysis. As an application of our framework, we show a compositional analysis to detect the unsatisfiability of an equation set with respect to a given equational theory. We also show that our method allows us to perform computations and analysis incrementally in a Constraint Equational setting and that the test of satisfiability in this setting can be done in parallel.
This work has been partially supported by CICYT under grant TIC 92-0793-C02-02.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
M. Alpuente, M. Falaschi, and G. Levi. Incremental Constraint Satisfaction for Equational Logic Programming. Technical Report TR-20/91, Dipartimento di Informatica, Università di Pisa, 1991. To appear in Theoretical Computer Science.
M. Alpuente, M. Falaschi, and F. Manzo. Analyses of Unsatisfiability for Equational Logic Programming. Technical Report DSIC-II/29/92, UPV, 1992. Short version in M. Bruynooghe and M. Wirsing, editors, Proc. of PLILP'92, volume 631 of Lecture Notes in Computer Science, pages 443–457, Springer-Verlag, Berlin, 1992. To appear in the Journal of Logic Programming.
M. Alpuente, M. Falaschi, M.J. Ramis, and G. Vidal. Narrowing Approximations as an Optimization for Equational Logic Programs. Technical Report DSIC-II/1/93, UPV, 1993. Short version in J. Penjam and M. Bruynooghe, editors, Proc.of PLILP'93, volume 714 of Lecture Notes in Computer Science, pages 391–409, Springer-Verlag, Berlin, 1993.
M. Alpuente, M. Falaschi, M.J. Ramis, and G. Vidal. A Compositional Semantics for Conditional Term Rewriting Systems. In H.E. Bal, editor, Proc. Sixth IEEE Int'l Conf. on Computer Languages ICCL'94, pages 171–182. IEEE Computer Society Press, 1994.
M. Alpuente, M. Falaschi, and G. Vidal. Semantics-Based Compositional Analysis for Equational Horn Programs. Technical Report DSIC-II/5/93, UPV, 1993.
R. Bert, R. Echahed, and B.M. Østvold. Abstract Rewriting. In Proc. Third Int'l Workshop on Static Analysis WSA '93, volume 724 of Lecture Notes in Computer Science, pages 178–192. Springer-Verlag, Berlin, 1993.
M. Codish, M. Falaschi, and K. Marriott. Suspension Analyses for Concurrent Logic Programs. ACM Transactions on Programming Languages and Systems, 1994.
P. Cousot and R. Cousot. Abstract Interpretation: A Unified Lattice Model for Static Analysis of Programs by Construction or Approximation of Fixpoints. In Proc. Fourth ACM Symp. Principles of Programming Languages, pages 238–252, 1977.
N. Dershowitz and J.-P. Jouannaud. Rewrite systems. In J. van Leeuwen, editor, Handbook of Theoretical Computer Science, volume B: Formal Models and Semantics, pages 243–320. Elsevier, Amsterdam and The MIT Press, Cambridge, 1990.
N. Dershowitz and N. Lindenstrauss. An Abstract Concurrent Machine for Rewriting. In H. Kirchner and W. Wechler, editors, Proc. Second Int'l Conf. on Algebraic and Logic Programming, volume 463 of Lecture Notes in Computer Science, pages 318–331. Springer-Verlag, Berlin, 1990.
M. Gabbrielli and G. Levi. On the Semantics of Logic Programs. In J. Leach Albert, B. Monien, and M. Rodriguez Artalejo, editors, Automata, Languages and Programming, 18th International Colloquium, volume 510 of Lecture Notes in Computer Science, pages 1–19. Springer-Verlag, Berlin, 1991.
J.H. Gallier and S. Raatz. Extending SLD-resolution to equational Horn clauses using E-unification. Journal of Logic Programming, 6:3–43, 1989.
P. Van Hentenryck and T. Le Provost. Incremental Search in Constraint Logic Programming. New Generation Computing, 9:257–275, 1991.
M. Höhfeld and G. Smolka. Definite relations over constraint languages. Technical report, IBM Deutschland GmbH, Stuttgart, 1988.
S. Hölldobler. Foundations of Equational Logic Programming, volume 353 of Lecture Notes in Artificial Intelligence. Springer-Verlag, Berlin, 1989.
J.M. Hullot. Canonical Forms and Unification. In 5th Int'l Conf. on Automated Deduction, volume 87 of Lecture Notes in Computer Science, pages 318–334. Springer-Verlag, Berlin, 1980.
J.-M. Jacquet. Conclog: A Methodological Approach to Concurrent Logic Programming. PhD thesis, University of Namur, Belgium, 1989.
J. Jaffar and J.-L. Lassez. Constraint Logic Programming. In Proc. Fourteenth Annual ACM Symp. on Principles of Programming Languages, pages 111–119. ACM, 1987.
J. Jaffar, J.-L. Lassez, and M.J. Maher. A theory of complete logic programs with equality. Journal of Logic Programming, 3:211–223, 1984.
J.W. Klop. Term rewriting systems. In S. Abramsky, D. Gabbay, and T. Maibaum, editors, Handbook of Logic in Computer Science, volume I, pages 1–112. Oxford University Press, 1992.
H. Kuchen and W. Hans. An AND-Parallel Implementation of the Functional Logic Language Babel. In Aachener Informatik-Bericht, volume 12, pages 119–139, RWTH Aachen, 1991.
H. Kuchen, J.J. Moreno-Navarro, and M. Hermenegildo. Independent AND-Parallel Implementation of Narrowing. In M. Bruynooghe and M. Wirsing, editors, Proc. of PLILP'92, Leuven (Belgium), Volume 631 of Lecture Notes in Computer Science, pages 24–38. Springer-Verlag, Berlin, 1992.
J.-L. Lassez, M. J. Maher, and K. Marriott. Unification Revisited. In J. Minker, editor, Foundations of Deductive Databases and Logic Programming, pages 587–625. Morgan Kaufmann, Los Altos, Ca., 1988.
M. J. Maher. On parameterized substitutions. Technical Report RC 16042, IBM-T.J. Watson Research Center, Yorktown Heights, NY, 1990.
A. Middeldorp and E. Hamoen. Completeness results for basic narrowing. AAECC, 5:213–253, 1994.
W. Nutt, P. Réty, and G. Smolka. Basic narrowing revisited. Journal of Symbolic Computation, 7:295–317, 1989.
C. Palamidessi. Algebraic properties of idempotent substitutions. In M. S. Paterson, editor, Proc. of the 17th International Colloquium on Automata, Languages and Programming, volume 443 of Lecture Notes in Computer Science, pages 386–399. Springer-Verlag, Berlin, 1990.
U.S. Reddy. Narrowing as the Operational Semantics of Functional Languages. In Proc. Second IEEE Int'l Symp. on Logic Programming, pages 138–151. IEEE, 1985.
J.H. Siekmann. Unification Theory. Journal of Symbolic Computation, 7:207–274, 1989.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1994 Springer-Verlag
About this paper
Cite this paper
Alpuente, M., Falaschi, M., Vidal, G. (1994). Compositional analysis for equational Horn programs. In: Levi, G., Rodríguez-Artalejo, M. (eds) Algebraic and Logic Programming. ALP 1994. Lecture Notes in Computer Science, vol 850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58431-5_8
Download citation
DOI: https://doi.org/10.1007/3-540-58431-5_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-58431-5
Online ISBN: 978-3-540-48791-3
eBook Packages: Springer Book Archive