On Combined Connectives

نویسندگان

  • Amílcar Sernadas
  • Cristina Sernadas
  • João Rasga
چکیده

Combined connectives arise in combined logics. In fibrings, such combined connectives are known as shared connectives and inherit the logical properties of each component. A new way of combining connectives (and other language constructors of propositional nature) is proposed by inheriting only the common logical properties of the components. A sound and complete calculus is provided for reasoning about the latter. The calculus is shown to be a conservative extension of the original calculus. Examples are provided contributing to a better understanding of what are the common properties of any two constructors, say disjunction and conjunction.

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عنوان ژورنال:
  • Logica Universalis

دوره 5  شماره 

صفحات  -

تاریخ انتشار 2011