An Institution-Independent Proof of the Robinson Consistency Theorem

نویسندگان

  • Daniel Gâinâ
  • Andrei Popescu
چکیده

We prove an institutional version of A. Robinson’s Consistency Theorem. This result is then applied to the institution of many-sorted first-order predicate logic and to two of its variations, infinitary and partial, obtaining very general syntactic criteria sufficient for a signature square in order to satisfy the Robinson consistency and Craig interpolation properties.

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عنوان ژورنال:
  • Studia Logica

دوره 85  شماره 

صفحات  -

تاریخ انتشار 2007