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A discounted-sum automaton (NDA) is a nondeterministic finite automaton with edge weights, valuing a run by the discounted sum of visited edge weights. More precisely, the weight in the i-th position of the run is divided by $\lambda^i$,…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Udi Boker , Thomas A. Henzinger

History-deterministic automata are a restricted class of nondeterministic automata where the nondeterminism while reading an input can be resolved successfully based on the prefix read so far. History-deterministic automata are…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Keya Prakash

A nondeterministic automaton is history-deterministic if its nondeterminism can be resolved by only considering the prefix of the word read so far. Due to their good compositional properties, history-deterministic automata are useful in…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Udi Boker , Karoliina Lehtinen

Timed pushdown automata are pushdown automata extended with a finite set of real-valued clocks. Additionaly, each symbol in the stack is equipped with a value representing its age. The enabledness of a transition may depend on the values of…

Formal Languages and Automata Theory · Computer Science 2014-02-28 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Jari Stenman

I explain the shutdown problem: the problem of designing artificial agents that (1) shut down when a shutdown button is pressed, (2) don't try to prevent or cause the pressing of the shutdown button, and (3) otherwise pursue goals…

Artificial Intelligence · Computer Science 2024-04-10 Elliott Thornley

For computation, there existed Turing machine and later-matured automata theory. For low-level parallel computation, there existed variants of Turing machine, such as two-tapes Turing machine and multi-tapes Turing machine. In the…

Logic in Computer Science · Computer Science 2026-03-10 Yong Wang

The deterministic membership problem for timed automata asks whether the timed language recognised by a nondeterministic timed automaton can be recognised by a deterministic timed automaton. We show that the problem is decidable when the…

Formal Languages and Automata Theory · Computer Science 2020-07-21 Lorenzo Clemente , Sławomir Lasota , Radosław Piórkowski

Prior work on in-context copying has shown the existence of induction heads, which attend to and promote individual tokens during copying. In this work we discover a new type of induction head: concept-level induction heads, which copy…

Computation and Language · Computer Science 2025-07-22 Sheridan Feucht , Eric Todd , Byron Wallace , David Bau

Many robots are not equipped with a manipulator and many objects are not suitable for prehensile manipulation (such as large boxes and cylinders). In these cases, pushing is a simple yet effective non-prehensile skill for robots to interact…

Robotics · Computer Science 2025-11-21 Zili Tang , Ying Zhang , Meng Guo

Quantum finite automata, as well as quantum pushdown automata (QPA) were first introduced by C. Moore and J. P. Crutchfield. In this paper we introduce the notion of QPA in a non-equivalent way, including unitarity criteria, by using the…

Quantum Physics · Physics 2011-06-14 Marats Golovkins

Automata over infinite objects are a well-established model with applications in logic and formal verification. Traditionally, acceptance in such automata is defined based on the set of states visited infinitely often during a run. However,…

Formal Languages and Automata Theory · Computer Science 2025-09-22 Antonio Casares

Designing and building automated systems with which people can interact naturally is one of the emerging objective of Mechatronics. In this perspective multimodality and adaptivity represent focal issues, enabling users to communicate more…

Human-Computer Interaction · Computer Science 2017-03-17 Fernando Ferri , Arianna D'Ulizia , Patrizia Grifoni

We introduce hypernode automata as a new specification formalism for hyperproperties of concurrent systems. They are finite automata with nodes labeled with hypernode logic formulas and transitions labeled with actions. A hypernode logic…

Formal Languages and Automata Theory · Computer Science 2024-01-09 Ezio Bartocci , Thomas A. Henzinger , Dejan Nickovic , Ana Oliveira da Costa

We consider the synthesis of deterministic tree transducers from automaton definable specifications, given as binary relations, over finite trees. We consider the case of specifications that are deterministic top-down tree automatic,…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Christof Löding , Sarah Winter

History-determinism is a restricted notion of nondeterminism in automata, where the nondeterminism can be successfully resolved based solely on the prefix read so far. History-deterministic automata still allow for exponential succinctness…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Karoliina Lehtinen , Keya Prakash

A deterministic finite automaton in which every non-empty set of states occurs as the image of the whole state set under the action of a suitable input word is called completely reachable. It was conjectured that in each completely…

Formal Languages and Automata Theory · Computer Science 2024-03-20 David Casas , Mikhail V. Volkov

Deterministic synchronous systems consisting of two finite automata running in opposite directions on a shared read-only input are studied with respect to their ability to perform reversible computations, which means that the automata are…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Martin Kutrib , Andreas Malcher

In the paper, we deal with the notion of an automaton over a changing alphabet, which generalizes the concept of a Mealy-type automaton. We modify the methods based on the idea of a dual automaton and its action used by B. Steinberg et al.…

Group Theory · Mathematics 2016-07-27 Adam Woryna

We advance a novel computational model of multi-agent, cooperative joint actions that is grounded in the cognitive framework of active inference. The model assumes that to solve a joint task, such as pressing together a red or blue button,…

Artificial Intelligence · Computer Science 2024-02-27 Domenico Maisto , Francesco Donnarumma , Giovanni Pezzulo

A data tree is a finite tree whose every node carries a label from a finite alphabet and a datum from some infinite domain. We introduce a new model of automata over unranked data trees with a decidable emptiness problem. It is essentially…

Databases · Computer Science 2023-06-22 Diego Figueira , Luc Segoufin