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A typechecker for intensional MLTT without elaboration.
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README.md

pi

A dependently typed system

Implemented

  • A Basic dependent lambda calculus

    • lambda abstractions
    • variables
    • pi types
    • type of types

  • let … in …

  • Unit type

  • Empty type

  • Natural numbers

  • Σ Types

TODO

  • Fun types

    • Id

  • Repl

  • Universes

  • Performence optimisation

    • Memoize normalisation and conversion somehow?

  • Implicit arguments

  • (indexed) inductive datatypes

  • Write down the rules (I’ll not get this far)

  • Compile to scheme

References

Some of the material I found helpful in groking dependent type checking: