NDLI: Reasoning about knowledge of unawareness revisited

Content Provider	ACM Digital Library
Author	Halpern, Joseph Y. Rêgo, Leandro C.
Abstract	In earlier work [Halpern and Rêgo 2006b], we proposed a logic that extends the Logic of General Awareness of Fagin and Halpern [1988] by allowing quantification over primitive propositions. This makes it possible to express the fact that an agent knows that there are some facts of which he is unaware. In that logic, it is not possible to model an agent who is uncertain about whether he is aware of all formulas. To overcome this problem, we keep the syntax of the earlier paper, but allow models where, with each world, a possibly different language is associated. We provide a sound and complete axiomatization for this logic and show that, under natural assumptions, the quantifier-free fragment of the logic is characterized by exactly the same axioms as the logic of Heifetz, Meier, and Schipper [2008].
Starting Page	166
Ending Page	173
Page Count	8
File Format	PDF
ISBN	9781605585604
DOI	10.1145/1562814.1562838
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2009-07-06
Publisher Place	New York
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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Reasoning about knowledge of unawareness revisited