J 2020

A Unified Translation of Linear Temporal Logic to ω-Automata

ESPARZA, Javier; Jan KŘETÍNSKÝ a Salomon SICKERT

Základní údaje

Originální název

A Unified Translation of Linear Temporal Logic to ω-Automata

Autoři

ESPARZA, Javier; Jan KŘETÍNSKÝ a Salomon SICKERT

Vydání

Journal of the ACM, 2020, 0004-5411

Další údaje

Typ výsledku

Článek v odborném periodiku

Impakt faktor

Impact factor: 1.741

Označené pro přenos do RIV

Ne

Organizační jednotka

Fakulta informatiky

DOI

Změněno: 17. 3. 2025 14:43, RNDr. Pavel Šmerk, Ph.D.

Anotace

V originále

We present a unified translation of linear temporal logic (LTL) formulas into deterministic Rabin automata (DRA), limit-deterministic Büchi automata (LDBA), and nondeterministic Büchi automata (NBA). The translations yield automata of asymptotically optimal size (double or single exponential, respectively). All three translations are derived from one single Master Theorem of purely logical nature. The Master Theorem decomposes the language of a formula into a positive Boolean combination of languages that can be translated into ω-automata by elementary means. In particular, Safra's, ranking, and breakpoint constructions used in other translations are not needed. We further give evidence that this theoretical clean and compositional approach does not lead to large automata per se and in fact in the case of DRAs yields significantly smaller automata compared to the previously known approach using determinisation of NBAs.