Blending margins: the modal logic K has nullary unification type

نویسنده

  • Emil Jerábek
چکیده

We investigate properties of the formula p → 2p in the basic modal logic K. We show that K satisfies an infinitary weak variant of the rule of margins, which leads to a description of a complete set of unifiers of p → 2p. Using this information, we establish that K has nullary unification type. Moreover, we show that the formula p → 2p is admissibly saturated, but not exact.

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Blending margins

We investigate properties of the formula p → 2p in the basic modal logic K. We show that K satisfies an infinitary weak variant of the rule of margins, which leads to a description of a complete set of unifiers of p → 2p. Using this information, we establish that K has nullary unification type. Moreover, we show that the formula p → 2p is admissibly saturated, but not exact.

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عنوان ژورنال:
  • J. Log. Comput.

دوره 25  شماره 

صفحات  -

تاریخ انتشار 2015