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  • 标题:Presenting Distributive Laws
  • 本地全文:下载
  • 作者:Marcello Bonsangue ; Helle Hansen ; Alexander Kurz
  • 期刊名称:Logical Methods in Computer Science
  • 印刷版ISSN:1860-5974
  • 电子版ISSN:1860-5974
  • 出版年度:2015
  • 卷号:11
  • 期号:3
  • 页码:1
  • DOI:10.2168/LMCS-11(3:2)2015
  • 出版社:Technical University of Braunschweig
  • 摘要:Distributive laws of a monad T over a functor F are categorical tools for specifying algebra-coalgebra interaction. They proved to be important for solving systems of corecursive equations, for the specification of well-behaved structural operational semantics and, more recently, also for enhancements of the bisimulation proof method. If T is a free monad, then such distributive laws correspond to simple natural transformations. However, when T is not free it can be rather difficult to prove the defining axioms of a distributive law. In this paper we describe how to obtain a distributive law for a monad with an equational presentation from a distributive law for the underlying free monad. We apply this result to show the equivalence between two different representations of context-free languages.
  • 其他关键词:Coalgebra, algebra, distributive laws, abstract GSOS, monad, equational presentation.
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