Dear all,
tomorrow we will have our next LIRa session.
Speaker: Tao Gu
Date and Time: Friday, September 23rd 2016, 15:30-17:00
Venue: ILLC Seminar Room F1.15, Science Park 107.
Title: ``Knowing value\'\' logic as a normal modal logic.
Abstract. Recent years witness a growing interest in nonstandard
epistemic logics of ``knowing whether\'\', ``knowing what\'\', ``knowing
how\'\', and so on. These logics are usually not normal, i.e., the
standard axioms and reasoning rules for modal logic may be invalid. In
this paper, we show that the conditional ``knowing value\'\' logic
proposed by Wang and Fan can be viewed as a disguised normal modal
logic by treating the negation of the Kv operator as a special
diamond. Under this perspective, it turns out that the original
first-order Kripke semantics can be greatly simplified by introducing
a ternary relation R_i^c in standard Kripke models, which associates
one world with two i-accessible worlds that do not agree on the value
of constant c. Under intuitive constraints, the modal logic based on
such Kripke models is exactly the one studied by Wang and Fan.
Moreover, there is a very natural binary generalization of the
``knowing value\'\' diamond, which, surprisingly, does not increase the
expressive power of the logic. The resulting logic with the binary
diamond has a transparent normal modal system, which sharpens our
understanding of the ``knowing value\'\' logic and simplifies some
previously hard problems.
Hope to see you there!
The LIRa team