The complexity of admissible rules of Lukasiewicz logic

نویسنده

  • Emil Jerábek
چکیده

We investigate the computational complexity of admissibility of inference rules in infinite-valued Lukasiewicz propositional logic ( L). It was shown in [13] that admissibility in L is checkable in PSPACE. We establish that this result is optimal, i.e., admissible rules of L are PSPACE-complete. In contrast, derivable rules of L are known to be coNP-complete.

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عنوان ژورنال:
  • J. Log. Comput.

دوره 23  شماره 

صفحات  -

تاریخ انتشار 2013