Gödel-Dummett Counter-models through Matrix Computation

نویسنده

  • Dominique Larchey-Wendling
چکیده

We present a new method for deciding Gödel-Dummett logic. Starting from a formula, it proceeds in three steps. First build a conditional graph based on the decomposition tree of the formula. Then try to remove some cycles in this graph by instantiating these boolean conditions. In case this is possible, extract a countermodel from such an instance graph. Otherwise the initial formula is provable. We emphasize on cycle removal through matrix computation, boolean constraint solving and counter-model extraction.

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عنوان ژورنال:
  • Electr. Notes Theor. Comput. Sci.

دوره 125  شماره 

صفحات  -

تاریخ انتشار 2005