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Unprovability of Herbrand Consistency in Waek Arithmetics

Saeed Salehi, Unprovability of Herbrand Consistency in Waek Arithmetics. In: Proceedings of the sixth ESSLLI Student Session, 265-274, 2001.

Abstract:

By introducing an appropriate definition of Herbrand Consistency in weak arithmetics,
we show Gödel's Second Incompleteness Theorem for Herbrand consistency of theories
containing I&#x394;<sub><b><small>0</small></b></sub>.

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BibTeX entry:

@INPROCEEDINGS{pSa01a,
  title = {Unprovability of Herbrand Consistency in Waek Arithmetics},
  booktitle = {Proceedings of the sixth ESSLLI Student Session},
  author = {Salehi, Saeed},
  pages = {265-274},
  year = {2001},
}

Belongs to TUCS Research Unit(s): FUNDIM, Fundamentals of Computing and Discrete Mathematics

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