Skip to main content

A New Semantics for Action Language m\(\mathcal {A}^*\)

  • Conference paper
  • First Online:
Book cover PRIMA 2022: Principles and Practice of Multi-Agent Systems (PRIMA 2022)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13753))

Abstract

The action language m\(\mathcal {A}^*\) employs the notion of update models in defining transitions between states. Given an action occurrence and a state, the update model of the action occurrence is automatically constructed from the given state and the observability of agents. A main criticism of this approach is that it cannot deal with situations when agents’ have incorrect beliefs about the observability of other agents. The present paper addresses this shortcoming by defining a new semantics for m\(\mathcal {A}^*\). The new semantics addresses the aforementioned problem of m\(\mathcal {A}^*\) while maintaining the simplicity of its semantics; the new definitions continue to employ simple update models, with at most three events for all types of actions, which can be constructed given the action specification and independently from the state in which the action occurs.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Baltag, A., Moss, L.: Logics for epistemic programs. Synthese 139, 165–224 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  2. Baltag, A., Moss, L., Solecki, S.: The logic of public announcements, common knowledge, and private suspicions. In: 7th TARK, pp. 43–56 (1998)

    Google Scholar 

  3. Baral, C., Gelfond, G., Pontelli, E., Son, T.C.: Reasoning about the beliefs of agents in multi-agent domains in the presence of state constraints: the action language mAL. In: Leite, J., Son, T.C., Torroni, P., van der Torre, L., Woltran, S. (eds.) CLIMA 2013. LNCS (LNAI), vol. 8143, pp. 290–306. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-40624-9_18

    Chapter  MATH  Google Scholar 

  4. Baral, C., Gelfond, G., Pontelli, E., Son, T.C.: An action language for multi-agent domains. Artif. Intell. 302, 103601 (2022)

    Article  MathSciNet  MATH  Google Scholar 

  5. van Benthem, J., van Eijck, J., Kooi, B.P.: Logics of communication and change. Inf. Comput. 204(11), 1620–1662 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. Bolander, T., Andersen, M.: Epistemic planning for single and multi-agent systems. J. Appl. Non-Classical Logics 21(1), 9–34 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  7. Bolander, T.: Seeing is believing: formalising false-belief tasks in dynamic epistemic logic. In: van Ditmarsch, H., Sandu, G. (eds.) Jaakko Hintikka on Knowledge and Game-Theoretical Semantics. OCL, vol. 12, pp. 207–236. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-62864-6_8

    Chapter  Google Scholar 

  8. Buckingham, D., Kasenberg, D., Scheutz, M.: Simultaneous representation of knowledge and belief for epistemic planning with belief revision, pp. 172–181 (2020)

    Google Scholar 

  9. van Ditmarsch, H., van der Hoek, W., Kooi, B.: Dynamic Epistemic Logic, 1st edn. Springer, Heidelberg (2007). https://doi.org/10.1007/978-1-4020-5839-4

    Book  MATH  Google Scholar 

  10. Fagin, R., Halpern, J., Moses, Y., Vardi, M.: Reasoning About Knowledge. MIT press, Cambridge (1995)

    MATH  Google Scholar 

  11. Löwe, B., Pacuit, E., Witzel, A.: DEL planning and some tractable cases. In: van Ditmarsch, H., Lang, J., Ju, S. (eds.) LORI 2011. LNCS (LNAI), vol. 6953, pp. 179–192. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-24130-7_13

    Chapter  MATH  Google Scholar 

  12. Pham, L., Izmirlioglu, Y., Son, T.C., Pontelli, E.: A new semantics for the action language ma*. Technical report, NMSU (2022). https://github.com/phhuuloc/New-semantic-mAstar

  13. Rajaratnam, D., Thielscher, M.: Representing and reasoning with event models for epistemic planning. In: Proceedings of the 18th International Conference on Principles of Knowledge Representation and Reasoning, pp. 519–528 (11 2021)

    Google Scholar 

Download references

Acknowledgments

The authors have been partially supported by NSF grants 2151254, 1914635 and 1757207. Tran Cao Son was also partially supported by NSF grant 1812628.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Loc Pham or Yusuf Izmirlioglu .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Pham, L., Izmirlioglu, Y., Son, T.C., Pontelli, E. (2023). A New Semantics for Action Language m\(\mathcal {A}^*\). In: Aydoğan, R., Criado, N., Lang, J., Sanchez-Anguix, V., Serramia, M. (eds) PRIMA 2022: Principles and Practice of Multi-Agent Systems. PRIMA 2022. Lecture Notes in Computer Science(), vol 13753. Springer, Cham. https://doi.org/10.1007/978-3-031-21203-1_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-21203-1_33

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-21202-4

  • Online ISBN: 978-3-031-21203-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics