Forcing and Interpolation in first-order hybrid Logic with rigid symbols
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914538453991424 |
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| author | Găină, Daniel Hashimoto, Go |
| author_facet | Găină, Daniel Hashimoto, Go |
| contents | In this paper, we establish an analogue of Craig Interpolation Property for a many-sorted variant of first-order hybrid logic. We develop a forcing technique that dynamically adds new constants to the underlying signature in a way that preserves consistency, even in the presence of models with possibly empty domains. Using this forcing method, we derive general criteria that are sufficient for a signature square to satisfy Craig interpolation property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08432 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Forcing and Interpolation in first-order hybrid Logic with rigid symbols Găină, Daniel Hashimoto, Go Logic in Computer Science In this paper, we establish an analogue of Craig Interpolation Property for a many-sorted variant of first-order hybrid logic. We develop a forcing technique that dynamically adds new constants to the underlying signature in a way that preserves consistency, even in the presence of models with possibly empty domains. Using this forcing method, we derive general criteria that are sufficient for a signature square to satisfy Craig interpolation property. |
| title | Forcing and Interpolation in first-order hybrid Logic with rigid symbols |
| topic | Logic in Computer Science |
| url | https://arxiv.org/abs/2601.08432 |