Long Normal Form Proof Search and Counter-Model Generation

نویسندگان

  • Sachio Hirokawa
  • Daisuke Nagano
چکیده

This paper describes an algorithm of proof search for implicational formula in intuitionistic logic. It is based on a natural deduction style formulation of long normal form of simply typed -calculus. The algorithm returns a deduction tree, which becomes a proof if the formula is provable. When the formula is unprovable, a counter-model is constructed by identifying the repeated nodes in the deduction tree. Simplicity of the model construction is due to long normal form. The completeness of the algorithm is proved.

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

دوره 37  شماره 

صفحات  -

تاریخ انتشار 2000