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This library uses Backpack, prisms and Plated to abstract over lambda-calculus-based languages and their common operations.

Given some Term (lambda-term-sig/Lambda/Term.hsig) that has at least these three constructors:

  • Var (lambda-var-sig/Lambda/Var.hsig)
  • Abs (lambda-abs-sig/Lambda/Abs.hsig)
  • App (lambda-app-sig/Lambda/App.hsig)

We can implement capture-avoiding substitution (lambda-subst/Lambda/Subst.hs) and beta-reduction (lambda-app-sig/Lambda/App/Semantics.hs)

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Modular lambda calculus using Backpack and prisms

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