Sciweavers

JOLLI
2008

Temporal Languages for Epistemic Programs

13 years 10 months ago
Temporal Languages for Epistemic Programs
This paper adds temporal logic to public announcement logic (PAL) and dynamic epistemic logic (DEL). By adding a previous-time operator to PAL, we express in the language statements concerning the muddy children puzzle and sum and product. We also express a true statement that an agent's beliefs about another agent's knowledge flipped twice, and use a sound proof system to prove this statement. Adding a next-time operator to PAL, we provide formulas that express that belief revision does not take place in PAL. We also discuss relationships between announcements and the new knowledge agents thus acquire; such relationships are related to learning and to Fitch's paradox. We also show how inverse programs and hybrid logic each can be used to help determine whether or not an arbitrary structure represents the play of a game. We then add a past-time operator to DEL, and discuss the importance of adding yet another component to the language in order to prove completeness.
Joshua Sack
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2008
Where JOLLI
Authors Joshua Sack
Comments (0)