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Am I misinterpreting your notation or are these predicates rather than functions?
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I’m not sure what they are! But yes, maybe predicates. More interested in a graph-based language for nodal editing, but also interested in other projections of the same thing.
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No clue what the metatheory would look like though. Just very interested in what happens if you start thinking about other ways of looking at functions. 🤔 (I’m probably reinventing _something_) though.
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I think promoting functions to predicates could make certain proof terms more elegant?
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Yeah, my intention is pretty much to work in CoC equivalent thingies, but allow for things like modalities and such to be added more gracefully I think? Like, the intention is to ultimately have syntactic room for linearity, phase, uniqueness, etc. for use in systems programming.
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