Nested Abstract Syntax in Coq

André Hirschowitz (1) , Marco Maggesi (2)

1 JAD - Laboratoire Jean Alexandre Dieudonné
2 Dipartimento di Matematica "Ulisse Dini"

We illustrate Nested Abstract Syntax as a high-level alternative representation of langages with binding constructs, based on nested datatypes. Our running example is a partial solution in the Coq proof assistant to the POPLmark Challenge. The resulting formalization is very compact and does not require any extra library or special logical apparatus. Along the way, we propose an original, high-level perspective on environments.

Mots clés: POPLmark; Abstract Syntax; Semantics; Nested Datatypes; Coq; System F<:

Domaines: Informatique [cs]; Mathématiques [math]

André Hirschowitz, Marco Maggesi. Nested Abstract Syntax in Coq. Journal of Automated Reasoning, 2012, 49 (3), pp.409-429. ⟨10.1007/s10817-010-9207-9⟩. ⟨hal-01294214⟩