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arXiv · 2310.02845

Note on a Translation from First-Order Logic into the Calculus of Relations Preserving Validity and Finite Validity

Yoshiki Nakamura
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Abstract

In this note, we give a linear-size translation from formulas of first-order logic into equations of the calculus of relations preserving validity and finite validity. Our translation also gives a linear-size conservative reduction from formulas of first-order logic into formulas of the three-variable fragment of first-order logic.

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Yoshiki Nakamura. 2023-10-04. Note on a Translation from First-Order Logic into the Calculus of Relations Preserving Validity and Finite Validity. https://doi.org/10.46298/fi.12365

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