Realizing public announcements by justifications

Bucheli, Samuel; Kuznets, Roman; Studer, Thomas (2014). Realizing public announcements by justifications. Journal of computer and system sciences, 80(6), pp. 1046-1066. Elsevier 10.1016/j.jcss.2014.04.001

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Modal public announcement logics study how beliefs change after public announcements. However, these logics cannot express the reason for a new belief. Justification logics fill this gap since they can formally represent evidence and justifications for an agent's belief. We present OPAL(K) and JPAL(K) , two alternative justification counterparts of Gerbrandy–Groeneveld's public announcement logic PAL(K) . We show that PAL(K) is the forgetful projection of both OPAL(K) and JPAL(K) . We also establish that JPAL(K) partially realizes PAL(K) . The question whether a similar result holds for OPAL(K) is still open.

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