Up-to Technique for Product Functor

来源 :2014全国理论计算机科学学术年会 | 被引量 : 0次 | 上传用户:yan3134
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  To further explore the up-to techniques for bisimulation in the coalgebra setting,we investigate a special kind of functor,i.e.,product functor in this paper.Specifically,when F is the product of n sub-functors,in order to generate an up-to proof for bisimulation,it is suffcient to find n functions,where each one is consistent with its corresponding sub-functor,as well as weakly consistent with other sub-functors.The array formed by the n functions is called jointly consistent with F.We also give the analogue of jointly consistent function in traditional set theory.As for application,examples are given both coalgebraically and set-theoretically.
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