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Simplifying the calculus for easier consumption #11

@ahubers

Description

@ahubers

Proposal

I propose we simplify the Rome calculus as much as we can, so that:

  • we have spend less time (and space) in the text rehashing Rose19 and R-omega23
  • the critical reviewer will see the paper less as leaching its merit from previous work
  • it is easier to follow Rome solves particular challenges w.r.t. extensible recursion, and is not intended to be a novel calculus

How to simplify

  • Remove multi-rows, row theories; work in the minimal row theory + commutativity
  • Remove type equivalence
  • Stay impredicative & operational
  • ...

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