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A Behavioral Hierarchy of Strategy Logic

  • Conference paper
Computational Logic in Multi-Agent Systems (CLIMA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8624))

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Abstract

Starting from the seminal work introducing Alternating Temporal Logic, formalisms for strategic reasoning have assumed a prominent role in multi-agent systems verification. Among the others, Strategy Logic (SL) allows to represent sophisticated solution concepts, by treating agent strategies as first-order objects.

A drawback from the high power of SL is to admit non-behavioral strategies: a choice of an agent, at a given point of a play, may depend on choices other agents can make in the future or in counterfactual plays. As the latter moves are unpredictable, such strategies cannot be easily implemented, making the use of the logic problematic in practice.

In this paper, we describe a hierarchy of SL fragments as syntactic restrictions of the recently defined Boolean-Goal Strategy Logic (SL[bg]). Specifically, we introduce Alternating-Goal Strategy Logic (SL[ag]) that, by imposing a suitable alternation over the nesting of the Boolean connectives in (SL[bg]), induces two dual chains of sets of formulas, the conjunctive and disjunctive ones. A formula belongs to the level i of the conjunctive chain if it just contains conjunctions of atomic goals together with a unique formula belonging to the disjunctive chain of level i − 1. The disjunctive chain is defined similarly. We formally prove that classic and behavioral semantics for (SL[ag]) coincide. Additionally, we study the related model-checking problem showing that it is 2ExpTime-complete.

Partially supported by the FP7 European Union project 600958-SHERPA, the Embedded System Cup Project B25B09090100007 (POR Campania FS 2007/2013, asse IV e asse V), and the OR.C.HE.S.T.R.A. MIUR PON project.

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Author information

Authors and Affiliations

  1. Università degli Studi di Napoli Federico II, Italy

    Fabio Mogavero, Aniello Murano & Luigi Sauro

Authors
  1. Fabio Mogavero
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  2. Aniello Murano
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  3. Luigi Sauro
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Editor information

Editors and Affiliations

  1. Clausthal University of Technology, Adolph-Römer-Strasse 2A, 38678, Clausthal-Zellerfeld, Germany

    Nils Bulling

  2. University of Luxembourg, Campus Kirchberg, 6, rue Richard Doudenhove-Kalergi, 1359, Luxembourg, Luxembourg

    Leendert van der Torre

  3. Inria Sophia Antipolis-Méditerranée, 2004, route des Lucioles - BP 93, 06902, Sophia Antipolis, France

    Serena Villata

  4. University of Luxembourg, Computer Science and Communication Research Unit, Interdisciplinary Centre of Security, Reliability and Trust, Campus Kirchberg, 6, rue Richard Coudenhove-Kalergi, 1359, Luxembourg, Luxembourg

    Wojtek Jamroga

  5. Department of Computing Science, University of Aberdeen, Meston Building, Room 232, Old Aberdeen, AB24 3UE, Aberdeen, UK

    Wamberto Vasconcelos

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Mogavero, F., Murano, A., Sauro, L. (2014). A Behavioral Hierarchy of Strategy Logic. In: Bulling, N., van der Torre, L., Villata, S., Jamroga, W., Vasconcelos, W. (eds) Computational Logic in Multi-Agent Systems. CLIMA 2014. Lecture Notes in Computer Science(), vol 8624. Springer, Cham. https://doi.org/10.1007/978-3-319-09764-0_10

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  • DOI: https://doi.org/10.1007/978-3-319-09764-0_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09763-3

  • Online ISBN: 978-3-319-09764-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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