Paco: A Coq Library for Parameterized Coinduction

Chung-Kil Hur, Georg Neis, Derek Dreyer and Viktor Vafeiadis

Max Planck Institute for Software Systems (MPI-SWS)

Paco is a Coq library implementing parameterized coinduction. Parameterized coinduction is a technique for defining coinductive predicates (i.e., in Prop), using which one can perform coinductive proofs in a more compositional and incremental fashion than with standard Tarski-style constructions.

The Paco library provides a tactic called "pcofix", replacing Coq's primitive cofix and avoiding its syntactic guardedness checking of proof terms. We have found that pcofix yields clear performance and usability benefits, even on simple examples.

• Tutorial
  
  
• Library Source
  • Notations and Definitions
    
  • Lemmas
    
  • Main Tactics and User Tactics
    
    
• Publications
  • The Power of Parameterization in Coinductive Proof.
    Submitted
    [draft paper: pdf] [coq script: zip]