Note on a Translation from First-Order Logic into the Calculus of Relations Preserving Validity and Finite Validity
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917174338125824 |
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| author | Nakamura, Yoshiki |
| author_facet | Nakamura, Yoshiki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_02845 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Note on a Translation from First-Order Logic into the Calculus of Relations Preserving Validity and Finite Validity Nakamura, Yoshiki Logic in Computer Science 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. |
| title | Note on a Translation from First-Order Logic into the Calculus of Relations Preserving Validity and Finite Validity |
| topic | Logic in Computer Science |
| url | https://arxiv.org/abs/2310.02845 |