Converting Linear-Time Temporal Logic to Generalized Büchi Automata

Alexander Schimpf 📧 and Peter Lammich 🌐

May 28, 2014

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.


We formalize linear-time temporal logic (LTL) and the algorithm by Gerth et al. to convert LTL formulas to generalized Büchi automata. We also formalize some syntactic rewrite rules that can be applied to optimize the LTL formula before conversion. Moreover, we integrate the Stuttering Equivalence AFP-Entry by Stefan Merz, adapting the lemma that next-free LTL formula cannot distinguish between stuttering equivalent runs to our setting.

We use the Isabelle Refinement and Collection framework, as well as the Autoref tool, to obtain a refined version of our algorithm, from which efficiently executable code can be extracted.


BSD License


Session LTL_to_GBA