Skip to main content
Top
Published in: Software and Systems Modeling 1/2015

01-02-2015 | Special Section Paper

Automatically reasoning about metamodeling

Published in: Software and Systems Modeling | Issue 1/2015

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Metamodeling is foundational to many modeling frameworks, and so it is important to formalize and reason about it. Ideally, correctness proofs and test-case generation on the metamodeling framework should be automatic. However, it has yet to be shown that extensive automated reasoning on metamodeling frameworks can be achieved. In this paper, we present one approach to this problem: metamodeling frameworks are specified modularly using algebraic data types and constraint logic programming (CLP). Proofs and test-case generation are encoded as open world query operations and automatically solved.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Footnotes
1
This paper is an extended version of the work presented in [7].
 
2
Our definition differs from others as we allow edges to also act as types.
 
Literature
1.
go back to reference Clark, T., Evans, A., Kent, S.: The metamodelling language calculus: foundation semantics for UML. In: FASE, pp. 17–31 (2001) Clark, T., Evans, A., Kent, S.: The metamodelling language calculus: foundation semantics for UML. In: FASE, pp. 17–31 (2001)
2.
go back to reference Jouault, F., Bézivin, J.: KM3: a DSL for metamodel specification. In: FMOODS, pp. 171–185 (2006) Jouault, F., Bézivin, J.: KM3: a DSL for metamodel specification. In: FMOODS, pp. 171–185 (2006)
3.
go back to reference Varró, D., Pataricza, A.: VPM: a visual, precise and multilevel metamodeling framework for describing mathematical domains and UML. J. Softw. Syst. Model. 2(3), 187–210 (2003)CrossRef Varró, D., Pataricza, A.: VPM: a visual, precise and multilevel metamodeling framework for describing mathematical domains and UML. J. Softw. Syst. Model. 2(3), 187–210 (2003)CrossRef
4.
go back to reference Alanen, M., Porres, I.: A metamodeling language supporting subset and union properties. Softw. Syst. Model. 7(1), 103–124 (2008)CrossRef Alanen, M., Porres, I.: A metamodeling language supporting subset and union properties. Softw. Syst. Model. 7(1), 103–124 (2008)CrossRef
5.
go back to reference Boronat, A., Meseguer, J.: An algebraic semantics for MOF. Formal Asp. Comput. 22(3–4), 269–296 (2010)CrossRefMATH Boronat, A., Meseguer, J.: An algebraic semantics for MOF. Formal Asp. Comput. 22(3–4), 269–296 (2010)CrossRefMATH
6.
go back to reference Jackson, E.K., Kang, E., Dahlweid, M., Seifert, D., Santen, T.: Components, platforms and possibilities: towards generic automation for MDA. In: EMSOFT, pp. 39–48 (2010) Jackson, E.K., Kang, E., Dahlweid, M., Seifert, D., Santen, T.: Components, platforms and possibilities: towards generic automation for MDA. In: EMSOFT, pp. 39–48 (2010)
7.
go back to reference Jackson, E.K., Levendovszky, T., Balasubramanian, D.: Reasoning about metamodeling with formal specifications and automatic proofs. In: MoDELS, pp. 653–667 (2011) Jackson, E.K., Levendovszky, T., Balasubramanian, D.: Reasoning about metamodeling with formal specifications and automatic proofs. In: MoDELS, pp. 653–667 (2011)
8.
go back to reference Ehrig, H., Ehrig, K., Prange, U., Taentzer, G.: Fundamentals of algebraic graph transformation (monographs in theoretical computer science). An EACTS series. Springer, New York (2006) Ehrig, H., Ehrig, K., Prange, U., Taentzer, G.: Fundamentals of algebraic graph transformation (monographs in theoretical computer science). An EACTS series. Springer, New York (2006)
9.
go back to reference Atkinson, C., Kühne, T.: The essence of multilevel metamodeling. In: UML, pp. 19–33 (2001) Atkinson, C., Kühne, T.: The essence of multilevel metamodeling. In: UML, pp. 19–33 (2001)
10.
go back to reference Dantsin, E., Eiter, T., Gottlob, G., Voronkov, A.: Complexity and expressive power of logic programming. ACM Comput. Surv. 33(3), 374–425 (2001)CrossRef Dantsin, E., Eiter, T., Gottlob, G., Voronkov, A.: Complexity and expressive power of logic programming. ACM Comput. Surv. 33(3), 374–425 (2001)CrossRef
11.
go back to reference Clavel, M., Durán, F., Eker, S., Lincoln, P., Martí-Oliet, N., Meseguer, J., Quesada, J.F.: Maude: specification and programming in rewriting logic. Theor. Comput. Sci. 285(2), 187–243 (2002)CrossRefMATH Clavel, M., Durán, F., Eker, S., Lincoln, P., Martí-Oliet, N., Meseguer, J., Quesada, J.F.: Maude: specification and programming in rewriting logic. Theor. Comput. Sci. 285(2), 187–243 (2002)CrossRefMATH
12.
go back to reference Varró, D.: Automated formal verification of visual modeling languages by model checking. Softw. Syst. Model. 3(2), 85–113 (2004)CrossRef Varró, D.: Automated formal verification of visual modeling languages by model checking. Softw. Syst. Model. 3(2), 85–113 (2004)CrossRef
13.
go back to reference Anastasakis, K., Bordbar, B., Georg, G., Ray, I.: UML2Alloy: a challenging model transformation. In: MODELS, pp. 436–450 (2007) Anastasakis, K., Bordbar, B., Georg, G., Ray, I.: UML2Alloy: a challenging model transformation. In: MODELS, pp. 436–450 (2007)
14.
go back to reference Torlak, E., Jackson, D.: Kodkod: a relational model finder. In: TACAS, pp. 632–647 (2007) Torlak, E., Jackson, D.: Kodkod: a relational model finder. In: TACAS, pp. 632–647 (2007)
15.
go back to reference Kuhlmann, M., Gogolla, M.: From uml and ocl to relational logic and back. In: MoDELS, pp. 415–431 (2012) Kuhlmann, M., Gogolla, M.: From uml and ocl to relational logic and back. In: MoDELS, pp. 415–431 (2012)
16.
go back to reference Kuhlmann, M., Gogolla, M.: Strengthening sat-based validation of uml/ocl models by representing collections as relations. In: ECMFA, pp. 32–48 (2012) Kuhlmann, M., Gogolla, M.: Strengthening sat-based validation of uml/ocl models by representing collections as relations. In: ECMFA, pp. 32–48 (2012)
17.
go back to reference Büttner, F., Egea, M., Cabot, J., Gogolla, M.: Verification of atl transformations using transformation models and model finders. In: ICFEM, pp. 198–213 (2012) Büttner, F., Egea, M., Cabot, J., Gogolla, M.: Verification of atl transformations using transformation models and model finders. In: ICFEM, pp. 198–213 (2012)
18.
go back to reference Cabot, J., Clarisó, R., Guerra, E., de Lara, J.: Verification and validation of declarative model-to-model transformations through invariants. J. Syst. Softw. 83(2), 283–302 (2010)CrossRef Cabot, J., Clarisó, R., Guerra, E., de Lara, J.: Verification and validation of declarative model-to-model transformations through invariants. J. Syst. Softw. 83(2), 283–302 (2010)CrossRef
19.
go back to reference Balaban, M., Kifer, M.: Logic-based model-level software development with f-oml. In: MoDELS, pp. 517–532 (2011) Balaban, M., Kifer, M.: Logic-based model-level software development with f-oml. In: MoDELS, pp. 517–532 (2011)
20.
go back to reference Gurevich, Y., Neeman, I.: Dkal: distributed-knowledge authorization language. In: CSF, pp. 149–162 (2008) Gurevich, Y., Neeman, I.: Dkal: distributed-knowledge authorization language. In: CSF, pp. 149–162 (2008)
21.
go back to reference Alvaro, P., Condie, T., Conway, N., Elmeleegy, K., Hellerstein, J.M., Sears, R.: Boom analytics: exploring data-centric, declarative programming for the cloud. In: EuroSys, pp. 223–236 (2010) Alvaro, P., Condie, T., Conway, N., Elmeleegy, K., Hellerstein, J.M., Sears, R.: Boom analytics: exploring data-centric, declarative programming for the cloud. In: EuroSys, pp. 223–236 (2010)
22.
go back to reference de Moura, L.M., Bjørner, N.: Z3: An efficient smt solver. In: TACAS, pp. 337–340 (2008) de Moura, L.M., Bjørner, N.: Z3: An efficient smt solver. In: TACAS, pp. 337–340 (2008)
23.
go back to reference Büttner, F., Egea, M., Cabot, J.: On verifying atl transformations using ’off-the-shelf’ smt solvers. In: MoDELS, pp. 432–448 (2012) Büttner, F., Egea, M., Cabot, J.: On verifying atl transformations using ’off-the-shelf’ smt solvers. In: MoDELS, pp. 432–448 (2012)
24.
go back to reference Ehrig, K., Küster, J.M., Taentzer, G.: Generating instance models from meta models. Softw. Syst. Model. 8(4), 479–500 (2009)CrossRef Ehrig, K., Küster, J.M., Taentzer, G.: Generating instance models from meta models. Softw. Syst. Model. 8(4), 479–500 (2009)CrossRef
25.
go back to reference Grönniger, H., Ringert, J.O., Rumpe, B.: System model-based definition of modeling language semantics. In: FMOODS/FORTE, pp. 152–166 (2009) Grönniger, H., Ringert, J.O., Rumpe, B.: System model-based definition of modeling language semantics. In: FMOODS/FORTE, pp. 152–166 (2009)
26.
go back to reference Mendonça, M., Wasowski, A., Czarnecki, K.: SAT-based analysis of feature models is easy. In: SPLC, pp. 231–240 (2009) Mendonça, M., Wasowski, A., Czarnecki, K.: SAT-based analysis of feature models is easy. In: SPLC, pp. 231–240 (2009)
27.
go back to reference Jackson, E.K., Sztipanovits, J.: Constructive techniques for meta- and model-level reasoning. In: MODELS, pp. 405–419 (2007) Jackson, E.K., Sztipanovits, J.: Constructive techniques for meta- and model-level reasoning. In: MODELS, pp. 405–419 (2007)
28.
go back to reference Jaffar, J., Maher, M.J., Marriott, K., Stuckey, P.J.: The semantics of constraint logic programs. J. Log. Program. 37(1–3), 1–46 (1998)CrossRefMATHMathSciNet Jaffar, J., Maher, M.J., Marriott, K., Stuckey, P.J.: The semantics of constraint logic programs. J. Log. Program. 37(1–3), 1–46 (1998)CrossRefMATHMathSciNet
29.
go back to reference Lifschitz, V.: Twelve definitions of a stable model. In: ICLP, pp. 37–51 (2008) Lifschitz, V.: Twelve definitions of a stable model. In: ICLP, pp. 37–51 (2008)
30.
go back to reference Jackson, E.K., Bjørner, N., Schulte, W.: Canonical regular types. In: ICLP (technical communications), pp. 73–83 (2011) Jackson, E.K., Bjørner, N., Schulte, W.: Canonical regular types. In: ICLP (technical communications), pp. 73–83 (2011)
31.
go back to reference Sheeran, M., Singh, S., Stålmarck, G.: Checking safety properties using induction and a sat-solver. In: FMCAD, pp 108–125 (2000) Sheeran, M., Singh, S., Stålmarck, G.: Checking safety properties using induction and a sat-solver. In: FMCAD, pp 108–125 (2000)
32.
go back to reference Bjørner, N., Hoder, K.: Generalized property directed reachability. In: SAT (2012) Bjørner, N., Hoder, K.: Generalized property directed reachability. In: SAT (2012)
33.
go back to reference Ball, T., Bjørner, N., de Moura, L.M., McMillan, K.L., Veanes, M.: Beyond first-order satisfaction: Fixed points, interpolants, automata and polynomials. In: SPIN, pp. 1–6 (2012) Ball, T., Bjørner, N., de Moura, L.M., McMillan, K.L., Veanes, M.: Beyond first-order satisfaction: Fixed points, interpolants, automata and polynomials. In: SPIN, pp. 1–6 (2012)
34.
go back to reference Object Management Group: Meta object facility (MOF) core specification version 2.4 (2010) Object Management Group: Meta object facility (MOF) core specification version 2.4 (2010)
Metadata
Title
Automatically reasoning about metamodeling
Publication date
01-02-2015
Published in
Software and Systems Modeling / Issue 1/2015
Print ISSN: 1619-1366
Electronic ISSN: 1619-1374
DOI
https://doi.org/10.1007/s10270-013-0315-y

Other articles of this Issue 1/2015

Software and Systems Modeling 1/2015 Go to the issue

Premium Partner