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Complementation and determinization are two fundamental notions in automata theory. The close relationship between the two has been well observed in the literature. In the case of nondeterministic finite automata on finite words (NFA),…

Logic in Computer Science · Computer Science 2012-10-10 Yang Cai , Ting Zhang

We investigate the decidability of the emptiness problem for three classes of distributed automata. These devices operate on finite directed graphs, acting as networks of identical finite-state machines that communicate in an infinite…

Formal Languages and Automata Theory · Computer Science 2017-09-08 Antti Kuusisto , Fabian Reiter

We study the convergence of the Augmented Decomposition Algorithm (ADA) proposed in [32] for solving multi-block separable convex minimization problems subject to linear constraints. We show that the global convergence rate of the exact ADA…

Optimization and Control · Mathematics 2018-08-28 Hongsheng Liu , Shu Lu

We introduce a model of one-way language acceptors (a variant of a checking stack automaton) and show the following decidability properties: (1) The deterministic version has a decidable membership problem but has an undecidable emptiness…

Formal Languages and Automata Theory · Computer Science 2019-03-08 Oscar H. Ibarra , Ian McQuillan

We propose DFAMiner, a passive learning tool for learning minimal separating deterministic finite automata (DFA) from a set of labelled samples. Separating automata are an interesting class of automata that occurs generally in regular model…

Formal Languages and Automata Theory · Computer Science 2024-05-30 Daniele Dell'Erba , Yong Li , Sven Schewe

There are various types of disability egress in world like blindness, deafness, and Physical disabilities. It is quite difficult to deal with people with disability. Learning disability (LD) is types of disability totally different from…

Computers and Society · Computer Science 2013-10-22 Syed Asif Ali , Safeeullah Soomro , Abdul Ghafoor Memon , Abdul Baqi

The value 1 problem is a decision problem for probabilistic automata over finite words: given a probabilistic automaton, are there words accepted with probability arbitrarily close to 1? This problem was proved undecidable recently; to…

Formal Languages and Automata Theory · Computer Science 2017-01-11 Nathanaël Fijalkow , Hugo Gimbert , Edon Kelmendi , Youssouf Oualhadj

The concept of Deterministic Finite Cover Automata (DFCA) was introduced at WIA '98, as a more compact representation than Deterministic Finite Automata (DFA) for finite languages. In some cases representing a finite language,…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Cezar Câmpeanu

We examine questions involving nondeterministic finite automata where all states are final, initial, or both initial and final. First, we prove hardness results for the nonuniversality and inequivalence problems for these NFAs. Next, we…

Computational Complexity · Computer Science 2009-07-03 Jui-Yi Kao , Narad Rampersad , Jeffrey Shallit

This paper contains two results on timed extensions of pushdown automata (PDA). As our first result we prove that the model of dense-timed PDA of Abdulla et al. collapses: it is expressively equivalent to dense-timed PDA with timeless…

Formal Languages and Automata Theory · Computer Science 2015-04-20 Lorenzo Clemente , Sławomir Lasota

We define a new subclass of nondeterministic finite automata for prefix-closed languages called Flanked Finite Automata (FFA). We show that this class enjoys good complexity properties while preserving the succinctness of nondeterministic…

Formal Languages and Automata Theory · Computer Science 2015-09-23 Florent Avellaneda , Silvano Dal Zilio , Jean-Baptiste Raclet

We consider weighted tree automata (wta) over strong bimonoids and their initial algebra semantics and their run semantics. There are wta for which these semantics are different; however, for bottom-up deterministic wta and for wta over…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Zoltán Fülöp , Dávid Kószó , Heiko Vogler

Scheduling on related machines ($Q||C_{\max}$) is one of the most important problems in the field of Algorithmic Mechanism Design. Each machine is controlled by a selfish agent and her valuation can be expressed via a single parameter, her…

Computer Science and Game Theory · Computer Science 2009-07-20 George Christodoulou , Annamaria Kovacs

We present a new algorithm IDS for incremental learning of deterministic finite automata (DFA). This algorithm is based on the concept of distinguishing sequences introduced in (Angluin81). We give a rigorous proof that two versions of this…

Machine Learning · Computer Science 2012-06-14 Muddassar A. Sindhu , Karl Meinke

In this paper, we give a Nivat-like characterization for weighted alternating automata over commutative semirings (WAFA). To this purpose we prove that weighted alternating can be characterized as the concatenation of weighted finite tree…

Formal Languages and Automata Theory · Computer Science 2021-09-20 Gustav Grabolle

As one of the emerging algorithms in the field of Artificial Immune Systems (AIS), the Dendritic Cell Algorithm (DCA) has been successfully applied to a number of challenging real-world problems. However, one criticism is the lack of a…

Neural and Evolutionary Computing · Computer Science 2013-06-03 Feng Gu , Julie Greensmith , Uwe Aickelin

A popular method for solving reachability in timed automata proceeds by enumerating reachable sets of valuations represented as zones. A na\"ive enumeration of zones does not terminate. Various termination mechanisms have been studied over…

Formal Languages and Automata Theory · Computer Science 2019-04-19 Paul Gastin , Sayan Mukherjee , B Srivathsan

Declarative Distributed Systems (DDSs) are distributed systems grounded in logic programming. Although DDS model-checking is undecidable in general, we detect decidable cases by tweaking the data-source bounds, the message expressiveness,…

Logic in Computer Science · Computer Science 2023-08-22 Francesco Di Cosmo

Exclusive nondeterministic finite automata (XNFA) are nondeterministic finite automata with a special acceptance condition. An input is accepted if there is exactly one accepting path in its computation tree. If there are none or more than…

Formal Languages and Automata Theory · Computer Science 2024-09-12 Martin Kutrib , Andreas Malcher , Matthias Wendlandt

In this Ansatz we consider theoretical constructions of RNA polymers into automata, a form of computational structure. The basis for transitions in our automata are plausible RNA enzymes that may perform ligation or cleavage. Limited to…

Quantitative Methods · Quantitative Biology 2022-05-24 Adam J. Svahn , Mikhail Prokopenko