A note on normal forms for the closed fragment of system IL

نویسندگان

  • Vedran Čačić
  • Mladen Vuković
چکیده

In [8], P. Hájek and V. Švejdar determined normal forms for the system ILF, and showed that we can eliminate the modal operator ¤ from IL–formulas. The normal form for the closed fragment of the interpretability logic IL is an open problem (see [13]). We prove that in some cases we can eliminate the modal operator ¤. We give an example where it is impossible to eliminate ¤. AMS subject classifications: 03F45, 03F25

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تاریخ انتشار 2012