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We investigate the (non)-existence of universal automata for some classes of automata, such as finite automata and pushdown automata, and in particular the influence of the representation and encoding function. An alternative approach,…

Formal Languages and Automata Theory · Computer Science 2012-08-01 Manfred Kudlek

Random instances of constraint satisfaction problems such as k-SAT provide challenging benchmarks. If there are m constraints over n variables there is typically a large range of densities r=m/n where solutions are known to exist with…

Discrete Mathematics · Computer Science 2009-11-13 Amin Coja-Oghlan

Raghavendra (STOC 2008) gave an elegant and surprising result: if Khot's Unique Games Conjecture (STOC 2002) is true, then for every constraint satisfaction problem (CSP), the best approximation ratio is attained by a certain simple…

Data Structures and Algorithms · Computer Science 2010-11-01 Yuichi Yoshida

Regular nested word languages (a.k.a. visibly pushdown languages) strictly extend regular word languages, while preserving their main closure and decidability properties. Previous works have shown that considering languages of 2-nested…

Formal Languages and Automata Theory · Computer Science 2022-08-23 Séverine Fratani , Guillaume Maurras , Pierre-Alain Reynier

Low-latency sliding window algorithms for regular and context-free languages are studied, where latency refers to the worst-case time spent for a single window update or query. For every regular language $L$ it is shown that there exists a…

Formal Languages and Automata Theory · Computer Science 2022-10-03 Moses Ganardi , Louis Jachiet , Markus Lohrey , Thomas Schwentick

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

We prove an n-EXPTIME lower bound for the problem of deciding the winner in a reachability game on Higher Order Pushdown Automata (HPDA) of level n. This bound matches the known upper bound for parity games on HPDA. As a consequence the…

Computer Science and Game Theory · Computer Science 2007-05-23 Thierry Cachat , Igor Walukiewicz

The notion of delays arises naturally in many computational models, such as, in the design of circuits, control systems, and dataflow languages. In this work, we introduce \emph{automata with delay blocks} (ADBs), extending finite state…

Formal Languages and Automata Theory · Computer Science 2012-08-14 Krishnendu Chatterjee , Thomas A. Henzinger , Vinayak S. Prabhu

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 construct a hierarchy of regular languages such that the current language in the hierarchy can be accepted by 1-way quantum finite automata with a probability smaller than the corresponding probability for the preceding language in the…

Quantum Physics · Physics 2007-05-23 Andris Ambainis , Richard Bonner , Rusins Freivalds , Arnolds Kikusts

We introduce and study input-driven deterministic and nondeterministic double-head pushdown automata. A double-head pushdown automaton is a slight generalization of an ordinary pushdown automaton working with two input heads that move in…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Markus Holzer , Martin Kutrib , Andreas Malcher , Matthias Wendlandt

The main aim of the paper is to give a short self-contained proof of the decidability of language equivalence for deterministic pushdown automata, which is the famous problem solved by G. Senizergues, for which C. Stirling has derived a…

Formal Languages and Automata Theory · Computer Science 2011-03-10 Petr Jancar

We address the problem of analyzing asynchronous event-driven programs, in which concurrent agents communicate via unbounded message queues. The safety verification problem for such programs is undecidable. We present in this paper a…

Programming Languages · Computer Science 2019-05-27 Peizun Liu , Thomas Wahl , Akash LaL

Understanding physical phenomena is a key competence that enables humans and animals to act and interact under uncertain perception in previously unseen environments containing novel objects and their configurations. In this work, we…

Robotics · Computer Science 2019-04-23 Wenbin Li , Aleš Leonardis , Jeannette Bohg , Mario Fritz

Quantitative languages are an extension of boolean languages that assign to each word a real number. Mean-payoff automata are finite automata with numerical weights on transitions that assign to each infinite path the long-run average of…

Logic in Computer Science · Computer Science 2015-05-19 Krishnendu Chatterjee , Laurent Doyen , Herbert Edelsbrunner , Thomas A. Henzinger , Philippe Rannou

The reachability analysis of weighted pushdown systems is a very powerful technique in verification and analysis of recursive programs. Each transition rule of a weighted pushdown system is associated with an element of a bounded semiring…

Formal Languages and Automata Theory · Computer Science 2019-03-14 Yasuhiko Minamide

We show a new and constructive proof of the following language-theoretic result: for every context-free language L, there is a bounded context-free language L' included in L which has the same Parikh (commutative) image as L. Bounded…

Logic in Computer Science · Computer Science 2012-07-03 Pierre Ganty , Rupak Majumdar , Benjamin Monmege

In this paper, we introduce a new model of deterministic Watson-Crick automaton namely restricted deterministic Watson- Crick automaton which is a deterministic Watson-Crick automaton where the complementarity string in the lower strand is…

Formal Languages and Automata Theory · Computer Science 2016-02-19 Kingshuk Chatterjee , Kumar Sankar Ray

We report some further developments regarding the language theory of higher-dimensional automata (HDAs). Regular languages of HDAs are sets of finite interval partially ordered multisets (pomsets) with interfaces. We show a pumping lemma…

Formal Languages and Automata Theory · Computer Science 2024-07-19 Amazigh Amrane , Hugo Bazille , Uli Fahrenberg , Krzysztof Ziemiański

The problem of inclusion of the language accepted by timed automaton $A$ (e.g., the implementation) in the language accepted by $B$ (e.g., the specification) is, in general, undecidable in the class of non-deterministic timed automata. In…

Formal Languages and Automata Theory · Computer Science 2019-09-24 Amnon Rosenmann
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