19th International Conference on Types for Proofs and Programs
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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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19th International Conference on Types for Proofs and Programs, TYPES 2013, April 22-26, 2013, Toulouse, France
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تاریخ انتشار 2014