On the independence of axioms in BL and MTL

نویسنده

  • Karel Chvalovský
چکیده

We show by standard automated theorem proving methods and freely available automated theorem prover software that axiom (A2), stating that multiplicative conjunction implies its first member, is provable from other axioms in fuzzy logics BL and MTL without using axiom (A3), which is known to be provable from other axioms [1]. We also use freely available automated model generation software to show that all other axioms in BL and MTL are independent.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 197  شماره 

صفحات  -

تاریخ انتشار 2012