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Issue created Mar 29, 2019 by Robbert Krebbers@robbertkrebbersMaintainer0 of 2 checklist items completed0/2 checklist items

Syntactic type system for heap_lang

@dfrumin defined a syntactic type system for heap_lang in the reloc repo:

https://gitlab.mpi-sws.org/iris/reloc/blob/master/theories/typing/types.v

I would like to use his type system to state the fundamental theorem for the unary logical relation of heap_lang in iris-examples (https://gitlab.mpi-sws.org/iris/examples/tree/master/theories/logrel_heaplang), as right now that formalization only has semantic types and the semantic typing rules.

How about adding @dfrumin's syntactic type system to the heap_lang folder of the Iris repo?

Some things to discuss:

  • It currently relies on autosubst. Using strings for binding in types will be horrible, since there we actually have to deal with capture. Do we mind having a dependency of Iris on Autosubst, or would it be better to write a manual version with De Bruijn indexes?
  • It uses some fun encodings for pack and unpack (of existential types) and type abstraction and application, see https://gitlab.mpi-sws.org/iris/reloc/blob/master/theories/typing/types.v#L80 Are we happy with that, or are there more elegant ways of doing that?
Edited Mar 29, 2019 by Robbert Krebbers
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