# ACompositional and Unified Translation of LTL into ω-Automata

 Title: A Compositional and Unified Translation of LTL into ω-Automata Authors: Benedikt Seidl (benedikt /dot/ seidl /at/ tum /dot/ de) and Salomon Sickert (s /dot/ sickert /at/ tum /dot/ de) Submission date: 2019-04-16 Abstract: We present a formalisation of the unified translation approach of linear temporal logic (LTL) into ω-automata from [1]. This approach decomposes LTL formulas into simple'' languages and allows a clear separation of concerns: first, we formalise the purely logical result yielding this decomposition; second, we instantiate this generic theory to obtain a construction for deterministic (state-based) Rabin automata (DRA). We extract from this particular instantiation an executable tool translating LTL to DRAs. To the best of our knowledge this is the first verified translation from LTL to DRAs that is proven to be double exponential in the worst case which asymptotically matches the known lower bound. [1] Javier Esparza, Jan Kretínský, Salomon Sickert. One Theorem to Rule Them All: A Unified Translation of LTL into ω-Automata. LICS 2018 BibTeX: @article{LTL_Master_Theorem-AFP, author = {Benedikt Seidl and Salomon Sickert}, title = {A Compositional and Unified Translation of LTL into ω-Automata}, journal = {Archive of Formal Proofs}, month = apr, year = 2019, note = {\url{https://isa-afp.org/entries/LTL_Master_Theorem.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License Depends on: Deriving, LTL, Transition_Systems_and_Automata Used by: LTL_Normal_Form