Index Appearance Record for Transforming Rabin Automata into Parity Automata

نویسندگان

  • Jan Kretínský
  • Tobias Meggendorfer
  • Clara Waldmann
  • Maximilian Weininger
چکیده

Transforming deterministic ω-automata into deterministic parity automata is traditionally done using variants of appearance records. We present a more efficient variant of this approach, tailored to Rabin automata, and several optimizations applicable to all appearance records. We compare the methods experimentally and find out that our method produces smaller automata than previous approaches. Moreover, the experiments demonstrate the potential of our method for LTL synthesis, using LTL-to-Rabin translators. It leads to significantly smaller parity automata when compared to state-of-the-art approaches on complex formulae.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Buchi Determinization Made Tighter

By separating the principal acceptance mechanism from the concrete acceptance condition of a given Büchi automaton with n states, Schewe presented the construction of an equivalent deterministic Rabin transition automaton with o((1.65n)n) states via history trees, which can be simply translated to a standard Rabin automaton with o((2.26n)n) states. Apart from the inherent simplicity, Schewe’s c...

متن کامل

Determinization of $\omega$-automata unified

We present a uniform construction for converting ω-automata with arbitrary acceptance conditions to equivalent deterministic parity automata (DPW). Given a non-deterministic automaton with n states, our construction gives a DPW with at most 2 2 logn) states and O(n) parity indices. The corresponding bounds when the original automaton is deterministic are O(n!) and O(n), respectively. Our algori...

متن کامل

Determinising Parity Automata

Parity word automata and their determinisation play an important role in automata and game theory. We discuss a determinisation procedure for nondeterministic parity automata through deterministic Rabin to deterministic parity automata. We prove that the intermediate determinisation to Rabin automata is optimal. We show that the resulting determinisation to parity automata is optimal up to a sm...

متن کامل

Strategy Construction in Infinite Ganes with Streett and Rabin Chain Winning Conditions

We consider nite-state games as a model of nonterminating reactive computations. A natural type of speciication is given by games with Streett winning condition (corresponding to automata accepting by conjunctions of fairness conditions). We present an algorithm which solves the problem of program synthesis for these speciications. We proceed in two steps: First, we give a reduction of Streett ...

متن کامل

The Non-deterministic Mostowski Hierarchy and Distance-Parity Automata

Given a Rabin tree-language and natural numbers i, j, the language is said to be i, j-feasible if it is accepted by a parity automaton using priorities {i, i+1, ..., j}. The i, j-feasibility induces a hierarchy over the Rabin-tree languages called the Mostowski hierarchy. In this paper we prove that the problem of deciding if a language is i, j-feasible is reducible to the uniform universality ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017