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The (extensional) theory of arrays is widely used to model systems. Hence, efficient decision procedures are needed to model check such systems. Current decision procedures for the theory of arrays saturate the read-over-write and…

Logic in Computer Science · Computer Science 2014-05-28 Jürgen Christ , Jochen Hoenicke

This study explores the learnability of memory-less and memory-augmented RNNs, which are theoretically equivalent to Pushdown Automata. Empirical results show that these models often fail to generalize on longer sequences, relying more on…

Computation and Language · Computer Science 2024-10-07 Shrabon Das , Ankur Mali

We consider the problem of state-space reduction for nondeterministic weakly-hierarchical visibly pushdown automata (VPA). VPA recognize a robust and algorithmically tractable fragment of context-free languages that is natural for modeling…

Formal Languages and Automata Theory · Computer Science 2017-04-19 Matthias Heizmann , Christian Schilling , Daniel Tischner

We realize constant-space quantum computation by measure-many two-way quantum finite automata and evaluate their language recognition power by analyzing patterns of their exotic behaviors and by exploring their structural properties. In…

Formal Languages and Automata Theory · Computer Science 2016-06-29 Tomoyuki Yamakami

We develop a general framework for the specification and implementation of systems whose executions are words, or partial orders, over an infinite alphabet. As a model of an implementation, we introduce class register automata, a one-way…

Formal Languages and Automata Theory · Computer Science 2012-01-10 Benedikt Bollig

Two novel computing models based on an infinite tessellation of space-time are introduced. They consist of recursively coupled primitive building blocks. The first model is a scale-invariant generalization of cellular automata, whereas the…

Cellular Automata and Lattice Gases · Physics 2011-03-10 Martin Schaller , Karl Svozil

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

Probabilistic B\"uchi automata are a natural generalization of PFA to infinite words, but have been studied in-depth only rather recently and many interesting questions are still open. PBA are known to accept, in general, a class of…

Formal Languages and Automata Theory · Computer Science 2020-04-30 Christof Löding , Anton Pirogov

We introduce a new class of Parametric Timed Automata (PTAs) where we allow clocks to be compared to parameters in guards, as in classic PTAs, but also to be updated to parameters. We focus here on the EF-emptiness problem: "is the set of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Étienne André , Didier Lime , Mathias Ramparison

Data automata on data words is a decidable model proposed by Boja\'nczyk et al. in 2006. Class automata, introduced recently by Boja\'nczyk and Lasota, is an extension of data automata which unifies different automata models on data words.…

Formal Languages and Automata Theory · Computer Science 2011-06-08 Zhilin Wu

We introduce and investigate forgetting 1-limited automata, which are single-tape Turing machines that, when visiting a cell for the first time, replace the input symbol in it by a fixed symbol, so forgetting the original contents. These…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Giovanni Pighizzini , Luca Prigioniero

There are many types of automata and grammar models that have been studied in the literature, and for these models, it is common to determine whether certain problems are decidable. One problem that has been difficult to answer throughout…

Formal Languages and Automata Theory · Computer Science 2024-05-20 Oscar H. Ibarra , Ian McQuillan

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

Formal Languages and Automata Theory · Computer Science 2012-01-27 Nathanaël Fijalkow , Hugo Gimbert , Youssouf Oualhadj

Remote Direct Memory Access (RDMA) is a technology that allows direct memory access from the memory of one computer into that of another without involving either one's operating system. This enables high-throughput, low-latency networking,…

Logic in Computer Science · Computer Science 2026-05-12 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Govind Rajanbabu , Stephan Spengler

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

Register automata are a basic model of computation over infinite alphabets. Fresh-register automata extend register automata with the capability to generate fresh symbols in order to model computational scenarios involving name creation.…

Logic in Computer Science · Computer Science 2025-02-12 Andrzej S. Murawski , Steven J. Ramsay , Nikos Tzevelekos

Cellular automata are both computational and dynamical systems. We give a complete classification of the dynamic behaviour of elementary cellular automata (ECA) in terms of fundamental dynamic system notions such as sensitivity and…

Cellular Automata and Lattice Gases · Physics 2013-02-21 Martin Schuele , Ruedi Stoop

We introduce a new class of automata on infinite trees called \emph{alternating nonzero automata}, which extends the class of non-deterministic nonzero automata. We reduce the emptiness problem for alternating nonzero automata to the same…

Logic in Computer Science · Computer Science 2018-02-13 Paulin Fournier , Hugo Gimbert

In automata theory, while determinisation provides a standard route to solving many common problems in automata theory, some weak forms of nondeterminism can be dealt with in some problems without costly determinisation. For example, the…

Formal Languages and Automata Theory · Computer Science 2026-05-29 Thomas A. Henzinger , Keya Prakash , K. S. Thejaswini

Numerous computer systems use dynamic control and data structures of unbounded size. These data structures have often the character of trees or they can be encoded as trees with some additional pointers. This is exploited by some currently…

Formal Languages and Automata Theory · Computer Science 2012-04-17 Ondřej Lengál