The Semantic Tableaux Version of the Second Incompleteness Theorem Extends Almost to Robinson's Arithmetic Q

نویسنده

  • Dan E. Willard
چکیده

We will generalize the Second Incompleteness Theorem almost to the level of Robinson’s System Q. We will prove there exists a Π1 sentence V , such that if α is any finite consistent extension of Q+V then α will be unable to prove its Semantic Tableaux consistency. SpringerVerlag LNCS # 1847, 2000, pp. 415–430 (Tableaux 2000 Proc.)

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تاریخ انتشار 2000