Simple proof of the completeness theorem for second order classical and intuitionictic logic by reduction to first-order mono-sorted logic

Karim Nour; Christophe Raffalli

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arXiv · 0905.0758

Simple proof of the completeness theorem for second order classical and intuitionictic logic by reduction to first-order mono-sorted logic

Karim Nour·Christophe Raffalli

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Abstract

We present a simpler way than usual to deduce the completeness theorem for the second-oder classical logic from the first-order one. We also extend our method to the case of second-order intuitionistic logic.

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BibTeX RIS

Karim Nour, Christophe Raffalli. 2009-05-06. Simple proof of the completeness theorem for second order classical and intuitionictic logic by reduction to first-order mono-sorted logic. https://arxiv.org/abs/0905.0758

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