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Reasoning Support for Casl with Automated Theorem Proving Systems

  • Conference paper
Recent Trends in Algebraic Development Techniques (WADT 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4409))

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Abstract

We connect the algebraic specification language Casl with a variety of automated first-order provers. The heart of this connection is an institution comorphism from Casl to SoftFOL (softly typed first-order logic); the latter is then translated to the provers’ input syntaxes. We also describe a GUI integrating the translations and the provers into the Heterogeneous Tool Set. We report on experiences with provers, which led to fine-tuning of the translations. This framework can also be used for checking consistency of specifications.

This paper has been supported by Deutsche Forschungsgemeinschaft in the SFB/TR8 “Spatial Cognition” and in the project MULTIPLE under grant KR 1191/5-2.

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References

  1. Common framework initiative for algebraic specification and development. http://www.cofi.info

  2. Bennett, B.: Logical Representations for Automated Reasoning about Spatial Relationships. PhD thesis (1997)

    Google Scholar 

  3. Bidoit, M., Mosses, P.D. (eds.): CASL User Manual (With chapters by Mossakowski, Sannella,T.D., Tarlecki, A). LNCS, vol. 2900. Springer, Heidelberg (2004)

    MATH  Google Scholar 

  4. Cerioli, M., Meseguer, J.: May I borrow your logic (transporting logical structures along maps). Theoretical Comput. Sci. 173, 311–347 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  5. CoFI (The Common Framework Initiative), Mosses, P.D. (ed.): CASL Reference Manual. LNCS, vol. 2960. Springer, Heidelberg (2004)

    MATH  Google Scholar 

  6. Goguen, J., Rosu, G.: Institution morphisms. Formal aspects of computing 13, 274–307 (2002)

    Article  MATH  Google Scholar 

  7. Goguen, J.A., Burstall, R.M.: Institutions: Abstract model theory for specification and programming. In: Clarke, E., Kozen, D. (eds.) Logics of Programs. LNCS, vol. 164, pp. 221–256. Springer, Heidelberg (1984)

    Google Scholar 

  8. Goguen, J.A., Meseguer, J.: Order-sorted algebra I: equational deduction for multiple inheritance, overloading, exceptions and partial operations. Theoretical Comput. Sci. 105, 217–273 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  9. Meseguer, J.: Membership algebra as a logical framework for equational specification. In: Parisi-Presicce, F. (ed.) WADT 1997. LNCS, vol. 1376, pp. 18–61. Springer, Heidelberg (1998)

    Google Scholar 

  10. Mossakowski, T.: Relating Casl with other specification languages: The institution level. Theoretical Comput. Sci. 286, 367–475 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  11. Mossakowski, T., Maeder, C.: K. Lüttich. The Heterogeneous Tool Set. University of Bremen. Available at, http://www.tzi.de/cofi/hets

  12. Nipkow, T., Paulson, L.C., Wenzel, M.: Isabelle/HOL. LNCS, vol. 2283. Springer, Heidelberg (2002)

    MATH  Google Scholar 

  13. Sutcliffe, G., Suttner, C.: The TPTP Problem Library: CNF Release v1.2.1. Journal of Automated Reasoning 21(2), 177–203 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  14. Sutcliffe, G., Suttner, C.: The State of CASC. AI Communications 19(1), 35–48 (2006)

    MATH  MathSciNet  Google Scholar 

  15. Weidenbach, C., Brahm, U., Hillenbrand, T., Keen, E., Theobalt, C., Topic, D.: SPASS. In: Voronkov, A. (ed.) Automated Deduction - CADE-18. LNCS (LNAI), vol. 2392, pp. 275–279. Springer, Heidelberg (2002)

    Google Scholar 

  16. Zimmer, J., Autexier, S.: The MathServe System for Semantic Web Reasoning Services. In: Furbach, U., Shankar, N. (eds.) IJCAR 2006. LNCS (LNAI), vol. 4130, pp. 140–144. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

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José Luiz Fiadeiro Pierre-Yves Schobbens

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Lüttich, K., Mossakowski, T. (2007). Reasoning Support for Casl with Automated Theorem Proving Systems . In: Fiadeiro, J.L., Schobbens, PY. (eds) Recent Trends in Algebraic Development Techniques. WADT 2006. Lecture Notes in Computer Science, vol 4409. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71998-4_5

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  • DOI: https://doi.org/10.1007/978-3-540-71998-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71997-7

  • Online ISBN: 978-3-540-71998-4

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