Abstract

We study the interplay between dependent types and general computational effects. We define a language with both value types and terms, and computation types and terms, where types depend only on value terms. We use computational \(\varSigma \)-types to account for type-dependency in the sequential composition of computations. Our language design is justified by a natural class of categorical models. We account for both algebraic and non-algebraic effects. We also show how to extend the language with general recursion, using continuous families of cpos.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.LFCSUniversity of EdinburghEdinburghScotland, UK
  2. 2.MSP GroupUniversity of StrathclydeGlasgowScotland, UK

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