The Functional Machine Calculus II: Semantics

@article{Barrett2022TheFM,
  title={The Functional Machine Calculus II: Semantics},
  author={Chris Barrett and Willem B. Heijltjes and Guy McCusker},
  journal={ArXiv},
  year={2022},
  volume={abs/2211.13140}
}
The Functional Machine Calculus (FMC), recently introduced by the authors, is a generalization of the lambda-calculus which may faithfully encode the effects of higher-order mutable store, I/O and probabilistic/non-deterministic input. Significantly, it remains confluent and can be simply typed in the presence of these effects. In this paper, we explore the denotational semantics of the FMC. We have three main contri-butions: first, we argue that its syntax – in which both effects and lambda-calculus… 

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