19th International Conference on Types for Proofs and Programs

نویسندگان

  • Ralph Matthes
  • Aleksy Schubert
  • Susanne Albers
  • Danel Ahman
  • Gilles Barthe
  • Gustavo Betarte
  • Juan Diego Campo
  • Jesús Mauricio Chimento
چکیده

We introduce update monads as a generalization of state monads. Update monads are thecompatible compositions of reader and writer monads given by a set and a monoid. Distributivelaws between such monads are given by actions of the monoid on the set.We also discuss a dependently typed generalization of update monads. Unlike simple updatemonads, they cannot be factored into a reader and writer monad, but rather into similarly lookingrelative monads.Dependently typed update monads arise from cointerpreting directed containers, by whichwe mean an extension of an interpretation of the opposite of the category of containers into thecategory of set functors. 1998 ACM Subject Classification F.3.2 Semantics of Programming Languages, F.3.3 Studies ofProgram Constructs

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تاریخ انتشار 2014