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arXiv · 2105.06877

First order logic properly displayed

Samuel Balco·Giuseppe Greco·Alexander Kurz·Andrew Moshier·Alessandra Palmigiano·Apostolos Tzimoulis
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Abstract

We introduce a proper display calculus for first-order logic, of which we prove soundness, completeness, conservativity, subformula property and cut elimination via a Belnap-style metatheorem. All inference rules are closed under uniform substitution and are without side conditions.

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Samuel Balco, Giuseppe Greco, Alexander Kurz, Andrew Moshier, Alessandra Palmigiano, Apostolos Tzimoulis. 2021-05-19. First order logic properly displayed. https://arxiv.org/abs/2105.06877

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