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We study the size and the complexity of computing finite state automata (FSA) representing and approximating the downward and the upward closure of Petri net languages with coverability as the acceptance condition. We show how to construct…

Formal Languages and Automata Theory · Computer Science 2018-04-09 Mohamed Faouzi Atig , Roland Meyer , Sebastian Muskalla , Prakash Saivasan

The question of whether quantum real-time one-counter automata (rtQ1CAs) can outperform their probabilistic counterparts has been open for more than a decade. We provide an affirmative answer to this question, by demonstrating a…

Computational Complexity · Computer Science 2014-01-29 A. C. Cem Say , Abuzer Yakaryilmaz

Pushdown systems (PDS) are known as an abstract model of recursive programs, and model checking methods for PDS have been studied. Register PDS (RPDS) are PDS augmented by registers to deal with data values from an infinite domain in a…

Formal Languages and Automata Theory · Computer Science 2022-09-14 Yoshiaki Takata , Ryoma Senda , Hiroyuki Seki

We consider basic problems of non-preemptive scheduling on uniformly related machines. For a given schedule, defined by a partition of the jobs into m subsets corresponding to the m machines, C_i denotes the completion time of machine i.…

Data Structures and Algorithms · Computer Science 2015-03-20 Leah Epstein , Asaf Levin

We characterize the complexity of the safety verification problem for parameterized systems consisting of a leader process and arbitrarily many anonymous and identical contributors. Processes communicate through a shared, bounded-value…

Logic in Computer Science · Computer Science 2015-05-26 Javier Esparza , Pierre Ganty , Rupak Majumdar

Timed automata and register automata are well-known models of computation over timed and data words respectively. The former has clocks that allow to test the lapse of time between two events, whilst the latter includes registers that can…

Formal Languages and Automata Theory · Computer Science 2019-02-20 Diego Figueira , Piotr Hofman , Sławomir Lasota

Hybrid automata are a natural framework for modeling and analyzing systems which exhibit a mixed discrete continuous behaviour. However, the standard operational semantics defined over such models implicitly assume perfect knowledge of the…

Systems and Control · Computer Science 2013-08-27 Alberto Casagrande , Tommaso Dreossi , Carla Piazza

We propose and evaluate antichain algorithms to solve the universality and language inclusion problems for nondeterministic Buechi automata, and the emptiness problem for alternating Buechi automata. To obtain those algorithms, we establish…

Logic in Computer Science · Computer Science 2015-07-01 Laurent Doyen , Jean-Francois Raskin

While weighted automata provide a natural framework to express quantitative properties, many basic properties like average response time cannot be expressed with weighted automata. Nested weighted automata extend weighted automata and…

Formal Languages and Automata Theory · Computer Science 2016-06-14 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

Boolean programs with multiple recursive threads can be captured as pushdown automata with multiple stacks. This model is Turing complete, and hence, one is often interested in analyzing a restricted class that still captures useful…

Formal Languages and Automata Theory · Computer Science 2020-05-06 S. Akshay , Paul Gastin , S Krishna , Sparsa Roychowdhury

We present an underapproximation for context-free languages by filtering out runs of the underlying pushdown automaton depending on how the stack height evolves over time. In particular, we assign to each run a number quantifying the…

Formal Languages and Automata Theory · Computer Science 2016-09-15 Pierre Ganty , Damir Valput

In this paper we study the equivalence of nondeterministic automata pairing the concept of a bisimulation with the recently introduced concept of a uniform relation. In this symbiosis, uniform relations serve as equivalence relations which…

Formal Languages and Automata Theory · Computer Science 2011-03-01 Miroslav Ćirić , Jelena Ignjatović , Milan Bašić , Ivana Jančić

We present novel algorithms solving the satisfiability problem and the model checking problem for Visibly Linear Dynamic Logic (VLDL) in asymptotically optimal time via a reduction to the emptiness problem for tree automata with B\"uchi…

Logic in Computer Science · Computer Science 2017-08-03 Alexander Weinert

We study the computational and descriptional complexity of the following transformation: Given a one-counter automaton (OCA) A, construct a nondeterministic finite automaton (NFA) B that recognizes an abstraction of the language L(A): its…

Formal Languages and Automata Theory · Computer Science 2016-02-11 Mohamed Faouzi Atig , Dmitry Chistikov , Piotr Hofman , K Narayan Kumar , Prakash Saivasan , Georg Zetzsche

We develop a theory of vector spaces spanned by orbit-finite sets. Using this theory, we give a decision procedure for equivalence of weighted register automata, which are the common generalization of weighted automata and register automata…

Formal Languages and Automata Theory · Computer Science 2024-08-07 Mikołaj Bojańczyk , Joanna Fijalkow , Bartek Klin , Joshua Moerman

We propose a new extension of higher-order pushdown automata, which allows to use an infinite alphabet. The new automata recognize languages of data words (instead of normal words), which beside each its letter from a finite alphabet have a…

Formal Languages and Automata Theory · Computer Science 2012-10-10 Paweł Parys

The regular separability problem asks, for two given languages, if there exists a regular language including one of them but disjoint from the other. Our main result is decidability, and PSpace-completeness, of the regular separability…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Wojciech Czerwiński , Sławomir Lasota

We propose a learning approach for turn-level spoken language understanding, which facilitates a user to speak one or more utterances compositionally in a turn for completing a task (e.g., voice ordering). A typical pipelined approach for…

Computation and Language · Computer Science 2019-06-12 Hao Lang , Wen Wang

In this paper we study a subclass of pebble automata (PA) for data languages for which the emptiness problem is decidable. Namely, we introduce the so-called top view weak PA. Roughly speaking, top view weak PA are weak PA where the…

Formal Languages and Automata Theory · Computer Science 2015-05-14 Tony Tan

Tree automata with one memory have been introduced in 2001. They generalize both pushdown (word) automata and the tree automata with constraints of equality between brothers of Bogaert and Tison. Though it has a decidable emptiness problem,…

Logic in Computer Science · Computer Science 2015-07-01 Hubert Comon-Lundh , Florent Jacquemard , Nicolas Perrin