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Coinductive types: a ν-scheme over polynomial codes, with dischargeable coinduction
- #43
#43
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Russoul
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nova-ext-codata
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Aug 3, 2026
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Coinductive types: a ν-scheme over polynomial codes, with dischargeable coinduction
#43
Russoul
merged 7 commits into
main
Russoul/Nova:main
from
nova-ext-codata
Russoul/Nova:nova-ext-codata
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Commits on Aug 3, 2026
Coinductive types: ν at one-hole polynomial codes, with corec β and coinduction η
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Coinductive types end to end: kernel, elaborator, corpus streams
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Observational stream equality in Ω; map-id and map-fusion by induction on observations
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Bisimilarity as the impredicative gfp in Ω; equivalence with the observational form
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Coinduction discharges: el-nu-coind via the relator, coind proofs, bisimilarity reflects into equality
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coind at every polynomial: prop exposure by hypothesis rewriting; conat's ∞ = ∞+1
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Evaluation tests: take N of a colist — finite with Z-padding, and the infinite naturals
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