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  • An Extended Interpreted System Model for Epistemic Logics

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    Author(s)
    Su, K
    Sattar, A
    Griffith University Author(s)
    Sattar, Abdul
    Su, Kaile
    Year published
    2008
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    Abstract
    The interpreted system model offers a computationally grounded model, in terms of the states of computer processes, to S5 epistemic logics. This paper extends the interpreted system model, and provides a computationally grounded one, called the interpreted perception system model, to those epistemic logics other than S5. It is usually assumed, in the interpreted system model, that those parts of the environment that are visible to an agent are correctly perceived by the agent as a whole. The essential idea of the interpreted perception system model is that an agent may have incorrect perception or observations to the visible ...
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    The interpreted system model offers a computationally grounded model, in terms of the states of computer processes, to S5 epistemic logics. This paper extends the interpreted system model, and provides a computationally grounded one, called the interpreted perception system model, to those epistemic logics other than S5. It is usually assumed, in the interpreted system model, that those parts of the environment that are visible to an agent are correctly perceived by the agent as a whole. The essential idea of the interpreted perception system model is that an agent may have incorrect perception or observations to the visible parts of the environment and the agent may not be aware of this. The notion of knowledge can be defined so that an agent knows a statement iff the statement holds in those states that the agent can not distinguish (from the current state) by using only her correct observations. We establish a logic of knowledge and certainty, called KC logic, with a sound and complete proof system. The knowledge modality in this logic is S4 valid. It becomes S5 if we assume an agent always has correct observations; and more interestingly, it can be S4.2 or S4.3 under other natural constraints on agents and their sensors to the environment.
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    Conference Title
    Proceedings of the National Conference on Artificial Intelligence
    Volume
    1
    Publisher URI
    https://aaai.org/Press/Proceedings/aaai08.php
    Copyright Statement
    © 2008 AAAI Press. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Use hypertext link for access to conference website.
    Subject
    Computational logic and formal languages
    Publication URI
    http://hdl.handle.net/10072/23542
    Collection
    • Conference outputs

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