Skip to main content

A Full Operational Semantics for Asynchronous Relational Networks

  • Conference paper
  • First Online:
Recent Trends in Algebraic Development Techniques (WADT 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9463))

Included in the following conference series:

  • 353 Accesses


Service-oriented computing is a new paradigm where applications run over global computational networks and are formed by services discovered and bound at run-time through the intervention of a middleware. Asynchronous Relational Nets (ARNs) were presented by Fiadeiro and Lopes with the aim of formalising the elements of an interface theory for service-oriented software designs. The semantics of ARNs was originally given in terms of sequences of sets of actions corresponding to the behaviour of the service. Later, they were given an institution-based semantics where signatures are ARNs and models are morphisms into ground networks, that have no dependencies on external services.

In this work, we propose a full operational semantics capable of reflecting the dynamic nature of service execution by making explicit the reconfigurations that take place at run-time as the result of the discovery and binding of required services. This provides us a refined view of the execution of ARNs based upon which a specialized variant of linear temporal logic can be used to express, and even to verify through standard model-checking techniques, properties concerning the behaviour of ARNs that are more complex than those considered before.

This work has been supported by the European Union Seventh Framework Programme under grant agreement no. 295261 (MEALS).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Similar content being viewed by others


  1. 1.

    Formally, we can define ports as sets \(M\) of messages together with a function \(M \rightarrow {\{-, +\}}\) that assigns a polarity to every message.

  2. 2.

    The definitions of \(G_{\alpha }\) and \(G_{\alpha '}\) follow the presentation given in Proposition 1.

  3. 3.

    Note that \(\varLambda ^{\sharp }\) is in fact a quasi-automaton, because its components are proper classes.

  4. 4.

    We recall from [22] that the cofree expansion of an automaton \(\varLambda = {\langle Q, 2^{A}, \varDelta , I, \mathcal {F} \rangle }\) along a map \(\sigma :A \rightarrow A'\) is the automaton \(\varLambda ' = {\langle Q, 2^{A'}, \varDelta ', I, \mathcal {F} \rangle }\) for which \({(p, \iota ', q)} \in \varDelta '\) if and only if \({(p, \sigma ^{-1}{(X')}, q)} \in \varDelta \).


  1. Ausiello, G., Franciosa, P.G., Frigioni, D.: Directed hypergraphs: problems, algorithmic results, and a novel decremental approach. In: Restivo, A., Ronchi Della Rocca, S., Roversi, L. (eds.) ICTCS 2001. LNCS, vol. 2202, pp. 312–327. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  2. Barr, M., Wells, C.: Category Theory for Computer Science. Prentice Hall, London (1990)

    MATH  Google Scholar 

  3. Benatallah, B., Casati, F., Toumani, F.: Representing, analysing and managing Web service protocols. Data Knowl. Eng. 58(3), 327–357 (2006)

    Article  Google Scholar 

  4. Bradbury, J.S., Cordy, J.R., Dingel, J., Wermelinger, M.: A survey of self-management in dynamic software architecture specifications. In: Proceedings of the 1st ACM SIGSOFT Workshop on Self-Managed Systems, WOSS 2004, pp. 28–33. ACM (2004)

    Google Scholar 

  5. Brand, D., Zafiropulo, P.: On communicating finite-state machines. J. ACM 30(2), 323–342 (1983)

    Article  MathSciNet  Google Scholar 

  6. Bruni, R., Bucchiarone, A., Gnesi, S., Hirsch, D., Lluch Lafuente, A.: Graph-based design and analysis of dynamic software architectures. In: Degano, P., De Nicola, R., Meseguer, J. (eds.) Concurrency, Graphs and Models. LNCS, vol. 5065, pp. 37–56. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  7. Bruni, R., Bucchiarone, A., Gnesi, S., Melgratti, H.C.: Modelling dynamic software architectures using typed graph grammars. Electr. Notes Theor. Comput. Sci. 213(1), 39–53 (2008)

    Article  Google Scholar 

  8. Bruni, R., Lluch Lafuente, A., Montanari, U., Tuosto, E.: Service oriented architectural design. In: Barthe, G., Fournet, C. (eds.) TGC 2007. LNCS, vol. 4912, pp. 186–203. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  9. Cambini, R., Gallo, G., Scutellà, M.G.: Flows on hypergraphs. Math. Program. 78, 195–217 (1997)

    MathSciNet  MATH  Google Scholar 

  10. Clavel, M., Durán, F., Eker, S., Lincoln, P., Martí-Oliet, N., Meseguer, J., Talcott, C. (eds.): All About Maude - A High-Performance Logical Framework. LNCS, vol. 4350, p. 119. Springer, Heidelberg (2007)

    Book  Google Scholar 

  11. Fiadeiro, J.L.: Categories for Software Engineering. Springer, Berlin (2005)

    MATH  Google Scholar 

  12. Fiadeiro, J.L., Lopes, A., Bocchi, L.: An abstract model of service discovery and binding. Formal Aspects Comput. 23(4), 433–463 (2011)

    Article  Google Scholar 

  13. Fiadeiro, J.L., Lopes, A.: An interface theory for service-oriented design. Theor. Comput. Sci. 503, 1–30 (2013)

    Article  MathSciNet  Google Scholar 

  14. Gadducci, F.: Graph rewriting for the \(\pi \)-calculus. Math. Struct. Comput. Sci. 17(3), 407–437 (2007)

    Article  MathSciNet  Google Scholar 

  15. Jackson, D.: Software Abstractions - Logic, Language, and Analysis. MIT Press, Cambridge (2006)

    Google Scholar 

  16. Manna, Z., Pnueli, A.: Temporal Verification of Reactive Systems. Springer, New York (1995)

    Book  Google Scholar 

  17. McLane, S.: Categories for Working Mathematician. Graduate Texts in Mathematics. Springer, Berlin (1971)

    Google Scholar 

  18. Perrin, D., Pin, J.É.: Infinite Words: Automata, Semigroups, Logic and Games. Pure and Applied Mathematics. Elsevier Science, Amsterdam (2004)

    MATH  Google Scholar 

  19. Pnueli, A.: The temporal semantics of concurrent programs. Theor. Comput. Sci. 13(1), 45–60 (1981)

    Article  MathSciNet  Google Scholar 

  20. Simonot, M., Aponte, V.: A declarative formal approach to dynamic reconfiguration. In: Proceedings of the 1st International Workshop on Open Component Ecosystems, IWOCE 2009, pp. 1–10 (2009)

    Google Scholar 

  21. Thomas, W.: Automata on infinite objects. In: van Leeuwen, J. (ed.) Handbook of Theoretical Computer Science, Volume B: Formal Models and Semantics, pp. 133–192. Elsevier, Amsterdam (1990)

    Google Scholar 

  22. Ţuţu, I., Fiadeiro, J.L.: Service-oriented logic programming. Logical Methods in Computer Science (in press)

    Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to Ignacio Vissani .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Vissani, I., Pombo, C.G.L., Ţuţu, I., Fiadeiro, J.L. (2015). A Full Operational Semantics for Asynchronous Relational Networks. In: Codescu, M., Diaconescu, R., Țuțu, I. (eds) Recent Trends in Algebraic Development Techniques. WADT 2015. Lecture Notes in Computer Science(), vol 9463. Springer, Cham.

Download citation

  • DOI:

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28113-1

  • Online ISBN: 978-3-319-28114-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics