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Top and bottom constants #17

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Lev135 opened this issue Apr 12, 2022 · 2 comments
Open

Top and bottom constants #17

Lev135 opened this issue Apr 12, 2022 · 2 comments

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@Lev135
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Lev135 commented Apr 12, 2022

As I can see, there is no way to enter logical constants (I've tried top/bottom/0/1). Of couse, one can use p -> p for top, but it isn't convenient. Although constants are not very usefull in classical logic, they often occur in modal logic formulas.

@wo
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wo commented Apr 12, 2022

Yes, that's not supported at the moment. Do you have a reference to standard tableau rules for a language with top and bottom? Any branch with bottom or ~top is closed?

@Lev135
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Lev135 commented Jan 2, 2023

@wo
Yes, from Fitting 2007 (Handbook of Modal logic, chapter 2):
"A tableau branch is called closed if it contains T Z and F Z for some formula Z, or
if it contains F \top, or T \botom. A tableau is closed if every branch is closed."

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