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arXiv · 2601.08432

Forcing and Interpolation in first-order hybrid Logic with rigid symbols

Daniel Găină·Go Hashimoto
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Abstract

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.

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Daniel Găină, Go Hashimoto. 2026-01-13. Forcing and Interpolation in first-order hybrid Logic with rigid symbols. https://arxiv.org/abs/2601.08432

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