Reasoning about Imprecise Beliefs in Multi-Agent Systems with PDT Logic

Karsten Martiny, Ralf Möller


We present Probabilistic Doxastic Temporal (PDT) Logic, a formalism to represent and reason about probabilistic beliefs and their finite temporal evolution in multi-agent systems. This formalism enables the quantification of agents' beliefs through probability intervals and incorporates an explicit notion of time. In this work, we give an overview of recent contributions on PDT Logic. After describing the syntax and semantics of this formalism, we show that two alternative representation forms are available to model problems in PDT Logic. Furthermore, we outline how abductive reasoning can be performed in PDT Logic and how this formalism can be extended to infinite time frames.
Original languageEnglish
JournalKI - Künstliche Intelligenz
Issue number1
Pages (from-to)1-9
Number of pages9
Publication statusPublished - 13.10.2016

DFG Research Classification Scheme

  • 409-01 Theoretical Computer Science


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