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arXiv · 2602.19056

Affine logic with the integration operator

Seyed-Mohammad Bagheri
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Abstract

Affine continuous logic is extended to affine integration logic. Affine compactness theorem is proved by both the ultramean construction and Henkin's method. Also, a proof system and a completeness theorem are given. An appropriate variant of the Keisler-Shelah isomorphism theorem holds in this setting. This helps us to characterize non-forking extensions in affine stable theories by means of the notion of elementary embedding in the expanded logic.

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Seyed-Mohammad Bagheri. 2026-02-22. Affine logic with the integration operator. https://arxiv.org/abs/2602.19056

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