/ipl

Agda formalization of Intuitionistic Propositional Logic
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Agda formalization of Intuitionistic Propositional Logic (IPL)

Agda HTML listing.

Normalization by Evaluation for IPL (without soundness)

The simple Normalization by Evaluation (NbE) algorithm that produces from every IPL derivation a normal derivation.

Version presented 2018-07-19 at the Initial Types Club:

Soundness

Soundness of NbE means that the computational behavior (functional interpretation) of IPL proofs is preserved by normalization.

We implement sound-by-construction NbE using Kripke predicates.