On the size of good-for-games Rabin automata and its link with the memory in Muller games
A Casares, T Colcombet, K Lehtinen - arXiv preprint arXiv:2204.11333, 2022 - arxiv.org
In this paper, we look at good-for-games Rabin automata that recognise a Muller language
(a language that is entirely characterised by the set of letters that appear infinitely often in …
(a language that is entirely characterised by the set of letters that appear infinitely often in …
Rabinizer 4: From LTL to your favourite deterministic automaton
We present Rabinizer 4, a tool set for translating formulae of linear temporal logic to different
types of deterministic ω-automata. The tool set implements and optimizes several recent …
types of deterministic ω-automata. The tool set implements and optimizes several recent …
Practical applications of the alternating cycle decomposition
Abstract In 2021, Casares, Colcombet, and Fijalkow introduced the Alternating Cycle
Decomposition (ACD) to study properties and transformations of Muller automata. We …
Decomposition (ACD) to study properties and transformations of Muller automata. We …
Optimal transformations of Muller conditions
A Casares, T Colcombet, N Fijalkow - arXiv preprint arXiv:2011.13041, 2020 - arxiv.org
In this paper, we are interested in automata over infinite words and infinite duration games,
that we view as general transition systems. We study transformations of systems using a …
that we view as general transition systems. We study transformations of systems using a …
A unified translation of linear temporal logic to ω-automata
We present a unified translation of linear temporal logic (LTL) formulas into deterministic
Rabin automata (DRA), limit-deterministic Büchi automata (LDBA), and nondeterministic …
Rabin automata (DRA), limit-deterministic Büchi automata (LDBA), and nondeterministic …
One theorem to rule them all: A unified translation of LTL into ω-automata
We present a unified translation of LTL formulas into deterministic Rabin automata, limit-
deterministic Büchi automata, and nondeterministic Büchi automata. The translations yield …
deterministic Büchi automata, and nondeterministic Büchi automata. The translations yield …
Two-stage technique for LTLf synthesis under LTL assumptions
In synthesis, assumption are constraints on the environments that rule out certain
environment behaviors. A key observation is that even if we consider system with LTLf goals …
environment behaviors. A key observation is that even if we consider system with LTLf goals …
Practical “paritizing” of Emerson-Lei automata
We introduce a new algorithm that takes a Transition-based Emerson-Lei Automaton
(TELA), that is, an ω-automaton whose acceptance condition is an arbitrary Boolean formula …
(TELA), that is, an ω-automaton whose acceptance condition is an arbitrary Boolean formula …
From Muller to Parity and Rabin Automata: Optimal Transformations Preserving (History) Determinism
A Casares, T Colcombet, N Fijalkow… - …, 2024 - theoretics.episciences.org
We study transformations of automata and games using Muller conditions into equivalent
ones using parity or Rabin conditions. We present two transformations, one that turns a …
ones using parity or Rabin conditions. We present two transformations, one that turns a …
Seminator 2 can complement generalized Büchi automata via improved semi-determinization
We present the second generation of the tool Seminator that transforms transition-based
generalized Büchi automata (TGBAs) into equivalent semi-deterministic automata. The tool …
generalized Büchi automata (TGBAs) into equivalent semi-deterministic automata. The tool …