Seminator: A Tool for Semi-Determinization of Omega-Automata

Abstract

We present a tool that transforms nondeterministic ω-automata to semi-deterministic ω-automata. The tool Seminator accepts transition-based generalized Büchi automata (TGBA) as an input and produces automata with two kinds of semi-determinism. The implemented procedure performs degeneralization and semi-determinization simultaneously and employs several other optimizations. We experimentally evaluate Seminator in the context of LTL to semi-deterministic automata translation.

A Unified Translation of Linear Temporal Logic to ω-Automata

“…• ltl2dgra (asymmetric, [48], Owl 20.06). 9 This direct translation to DRAs and DGRAs has been described in Reference [20] and revised and corrected in Reference [22]. It uses all available optimisations, including the usual reduction rules for Rabin pairs, e.g., References [22,27].…”

“…• ltl2dgra (symmetric, Owl 20.06). 9 The tool implements the DRA construction of this article that treats both types of the operators symmetrically. We use a straightforward modification of the described DRA construction that yields tDGRA.…”

“…B 2 M, N is an intersection of |M |-many automata with at most 2 n+1 states. We bound 40], to LDBAs in Seminator [9], and to DPAs in Spot [18] and nbadet [54]. The light-grey area indicates the automata suitable for probabilistic model checking, and the dark-grey area the ones suitable for the traditional automata-theoretic approach to synthesis.…”

“…. The Left Table Displays the Results for the "Dwyer" Set from Table 4 and The Right Table for the Parametrised Formulas from Table 2 L 39 54,674 (11) 54 (8) 39 (4) 17 χ 9, 3 255,274 (13) 1 (6) 1 (6) 1 (8) φ 49 26,030 (9) 22 351 (8) 12(2) χ 8, 4 12,278 (8) 1 (17) 15 (2) 1 (5) φ 44 14,157 (9) 20 331 710 (2) χ 8, 4 6,522 71 (5) 145 (2) 1 (10) φ 49 2,554 (11) 22 (8) 19 315 (2) χ 9, 2 795 (7) 1 (3) 1 (3) 1 (4) φ 44 1,193 (11) 18 714 3 19 Π, and med., for the average, the standard deviation, the geometric average, and the median, respectively, for the number of states. We denote by err an error thrown by the tool.…”

Rabinizer 4: From LTL to Your Favourite Deterministic Automaton

“…The traditional approaches are depicted as dotted arrows. The determinization of NBA to DRA is implemented in ltl2dstar [Kle], to LDBA in Seminator [BDK+17] and to (mostly) DPA in spot [DLLF+16]. been mostly used [KNP11] and recently also deterministic generalized Rabin automata (DGRA) [CGK13].…”