Combining epistemic logic and Hennessy-Milner logic

Sophia Knight, Radu Mardare, Prakash Panangaden

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)


We define an epistemic logic for labelled transition systems by introducing equivalence relations for the agents on the states of the labelled transition system. The idea is that agents observe the dynamics of the system modulo their ability to distinguish states and in the process learn about the current state and past history of the execution. This is in the spirit of dynamic epistemic logic but is a direct combination of Hennessy-Milner logic and epistemic logic. We give an axiomatization for the logic and prove a completeness theorem with respect to the class of models obtained by unfolding labelled transition systems.

Original languageEnglish
Title of host publicationLogic and Program Semantics
EditorsR.L. Constable, A. Silva
Place of PublicationBerlin
Number of pages25
ISBN (Print)9783642294846
Publication statusPublished - 21 May 2012

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7230 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


  • equivalence relation
  • inductive hypothesis
  • modal logic
  • label transition system
  • epistemic logic


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