2.1 The basic modal logic K Author: Lilac Team Last update: March 2009 not 1 true ~ _ 6 and 2 true _ & _ 4 nec 1 true [] _ 7 closeNodeStop hasElement w variable a hasElement w not variable a add w FALSE stop w NotNot hasElement w not not variable a add w variable a And hasElement w and variable a variable b add w variable a add w variable b NotAnd hasElement w not and variable a variable b duplicate premodel_copy add w not variable a add premodel_copy.w not variable b Nec hasElement w nec variable A isLinked w u R add u variable A NotNec hasElement w not nec variable A createNewNode u add u not variable A link w u R NecT hasElement w nec variable a add w variable a localSaturationStrategy repeat firstRule closeNodeStop NotNot And NecT NotAnd end end monomodalKT_strat repeat localSaturationStrategy NotNec Nec end monomodalKT_strat and P not nec P and P nec not P and not nec P not nec nec Q and not nec P not nec nec and Q R