REFERENCES
Agha, G. and Palmskog, K. (2018). A survey of statistical
model checking. ACM Transactions on Modeling and
Computer Simulation (TOMACS), 28(1):6.
Baier, C. and Katoen, J.-P. (2008). Principles of Model
Checking (Representation and Mind Series). The MIT
Press.
Ben-Ari, M., Manna, Z., and Pnueli, A. (1981). The tempo-
ral logic of branching time. In Proceedings of the 8th
ACM SIGPLAN-SIGACT Symposium on Principles of
Programming Languages, POPL ’81, page 164–176,
New York, NY, USA. Association for Computing Ma-
chinery.
David, A., Larsen, K. G., Legay, A., Miku
ˇ
cionis, M., and
Poulsen, D. B. (2015). Uppaal SMC tutorial. In-
ternational Journal on Software Tools for Technology
Transfer, 17(4):397–415.
Delgado, C. and Benevides, M. (2009). Verification of
epistemic properties in probabilistic multi-agent sys-
tems. In Multiagent System Technologies, pages 16–
28, Berlin, Heidelberg. Springer Berlin Heidelberg.
Fagin, R., Halpern, J. Y., Moses, Y., and Vardi, M. Y.
(2003). Reasoning About Knowledge. MIT Press,
Cambridge, MA, USA.
Fu, C., Turrini, A., Huang, X., Song, L., Feng, Y., and
Zhang, L. (2018). Model checking probabilistic epis-
temic logic for probabilistic multiagent systems. In
Lang, J., editor, Proceedings of the Twenty-Seventh In-
ternational Joint Conference on Artificial Intelligence,
IJCAI 2018, July 13-19, 2018, Stockholm, Sweden,
pages 4757–4763. ijcai.org.
Hansson, H. and Jonsson, B. (1994). A logic for reasoning
about time and reliability. Formal Aspects of Comput-
ing, 6(5):512–535.
Herd, B., Miles, S., McBurney, P., and Luck, M.
(2015a). Mc
2
mabs: A Monte Carlo model checker for
multiagent-based simulations. In Multi-Agent-Based
Simulation XVI - International Workshop, MABS
2015, Istanbul, Turkey, May 5, 2015, Revised Selected
Papers, pages 37–54.
Herd, B., Miles, S., McBurney, P., and Luck, M. (2015b).
Quantitative analysis of multiagent systems through
statistical model checking. In Engineering Multi-
Agent Systems - Third International Workshop, EMAS
2015, Istanbul, Turkey, May 5, 2015, Revised, Se-
lected, and Invited Papers, pages 109–130.
Huang, X. and Luo, C. (2013). A logic of probabilis-
tic knowledge and strategy. In International confer-
ence on Autonomous Agents and Multi-Agent Systems,
AAMAS ’13, Saint Paul, MN, USA, May 6-10, 2013,
pages 845–852.
Kaufmann, S., Condoravdi, C., and Harizanov, V. (2008).
Formal approaches to modality, pages 71–106. De
Gruyter Mouton Publishers.
Kermack, W. O. and McKendrick, A. G. (1927). A contri-
bution to the mathematical theory of epidemics. Pro-
ceedings of the Royal Society of London. Series A,
Containing Papers of a Mathematical and Physical
Character, 115(772):700–721.
Kong, J. and Lomuscio, A. (2017). Symbolic model check-
ing multi-agent systems against CTL*K specifica-
tions. In Proceedings of the 16th Conference on Au-
tonomous Agents and MultiAgent Systems, AAMAS
2017, S
˜
ao Paulo, Brazil, May 8-12, 2017, pages 114–
122. ACM.
Legay, A., Delahaye, B., and Bensalem, S. (2010). Sta-
tistical model checking: An overview. In Barringer,
H., Falcone, Y., Finkbeiner, B., Havelund, K., Lee, I.,
Pace, G., Ros¸u, G., Sokolsky, O., and Tillmann, N.,
editors, Runtime Verification, pages 122–135, Berlin,
Heidelberg. Springer Berlin Heidelberg.
Lomuscio, A., Qu, H., and Raimondi, F. (2017). MC-
MAS: an open-source model checker for the verifica-
tion of multi-agent systems. Int. J. Softw. Tools Tech-
nol. Transf., 19(1):9–30.
Lomuscio, A. and Raimondi, F. (2006). The complexity of
model checking concurrent programs against CTLK
specifications. In 5th International Joint Conference
on Autonomous Agents and Multiagent Systems (AA-
MAS 2006), Hakodate, Japan, May 8-12, 2006, pages
548–550. ACM.
Lomuscio, A., Raimondi, F., and Sergot, M. J. (2003).
Towards model checking interpreted systems. In
The Second International Joint Conference on Au-
tonomous Agents & Multiagent Systems, AAMAS
2003, July 14-18, 2003, Melbourne, Victoria, Aus-
tralia, Proceedings, pages 1054–1055. ACM.
Nimal, V. (2010). Statistical approaches for probabilistic
model checking. PhD thesis, University of Oxford.
Pnueli, A. (1977). The temporal logic of programs. In 18th
Annual Symposium on Foundations of Computer Sci-
ence (SFCS 1977), pages 46–57.
Vardi, M. Y. (1996). An automata-theoretic approach to
linear temporal logic, pages 238–266. Springer Berlin
Heidelberg, Berlin, Heidelberg.
Wan, W., Bentahar, J., and Ben Hamza, A. (2013). Model
checking epistemic–probabilistic logic using proba-
bilistic interpreted systems. Knowledge-Based Sys-
tems, 50:279–295.
Younes, H. L., Clarke, E. M., and Zuliani, P. (2010). Statis-
tical verification of probabilistic properties with un-
bounded until. In Brazilian Symposium on Formal
Methods, pages 144–160. Springer.
Younes, H. L. S., Kwiatkowska, M. Z., Norman, G., and
Parker, D. (2004). Numerical vs. statistical probabilis-
tic model checking: An empirical study. In Tools and
Algorithms for the Construction and Analysis of Sys-
tems, 10th Intl. Conf., TACAS 2004, Barcelona, Spain,
March 29 - April 2, 2004, Proc., pages 46–60.
Statistical Model Checking for Probabilistic Temporal Epistemic Logics
63