PP-1999-15: Labelled Deduction for the Guarded Fragment

PP-1999-15: Marx, Maarten and Schlobach, Stefan and Mikulás, Szabolcs (1999) Labelled Deduction for the Guarded Fragment. [Report]

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We present the tableau calculus LC_2-TAB which is sound and complete
with respect to local square modal logic. The system is a labelled
deduction calculus in the spirit of those for modal S5. The novelty
here is that the calculus works in two interacting dimensions. This
2-dimensional modal logic allows one to simulate different other modal
logics, like K, KT, KTB or multi-K in quite an elegant way. The calculus
is also strong enough to decide an interesting pspace complete
sub-fragment of the guarded fragment, which is generally conceived of
as the true modal fragment of first order logic. A PROLOG implementation
of this calculus is available through the WWW.

Item Type: Report
Report Nr: PP-1999-15
Series Name: Prepublication (PP) Series
Year: 1999
Date Deposited: 12 Oct 2016 14:36
Last Modified: 12 Oct 2016 14:36
URI: https://eprints.illc.uva.nl/id/eprint/15

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