Semantic Analysis of Subexponential Modalities in Distributive Non-commutative Linear Logic

التفاصيل البيبلوغرافية
العنوان: Semantic Analysis of Subexponential Modalities in Distributive Non-commutative Linear Logic
المؤلفون: Rogozin, Daniel
المصدر: EPTCS 381, 2023, pp. 60-70
سنة النشر: 2023
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Logic in Computer Science
الوصف: In this paper, we consider the full Lambek calculus enriched with subexponential modalities in a distributive setting. We show that the distributive Lambek calculus with subexponentials is complete with respect to its Kripke frames via canonical extensions. In this approach, we consider subexponentials as S4-like modalities and each modality is interpreted with a reflexive and transitive relation similarly to usual Kripke semantics.
Comment: In Proceedings AMSLO 2023, arXiv:2308.03679
نوع الوثيقة: Working Paper
DOI: 10.4204/EPTCS.381.7
URL الوصول: http://arxiv.org/abs/2308.04521
رقم الأكسشن: edsarx.2308.04521
قاعدة البيانات: arXiv