Beyond Initial Algebras and Final Coalgebras

التفاصيل البيبلوغرافية
العنوان: Beyond Initial Algebras and Final Coalgebras
المؤلفون: Schoen, Ezra, Master, Jade, Kupke, Clemens
سنة النشر: 2023
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Category Theory, Computer Science - Logic in Computer Science
الوصف: We provide a construction of the fixed points of functors which may not be inital algebras or final coalgebras. For an endofunctor F, this fixed point construction may be expressed as a pair of adjoint functors between F-coalgebras and F-algebras. We prove a version of the limit colimit coincidence theorem for these generalized fixed points.
Comment: Extended Abstract
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2303.02065
رقم الأكسشن: edsarx.2303.02065
قاعدة البيانات: arXiv