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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

Traditional recurrent neural networks (RNNs) have a fixed, finite number of memory cells. In theory (assuming bounded range and precision), this limits their formal language recognition power to regular languages, and in practice, RNNs have…

Computation and Language · Computer Science 2023-03-14 Brian DuSell , David Chiang

Conformal nets are a classical topic in quantum field theory: they assign operator algebras to one-dimensional manifolds, and have close connections with one-dimensional topological field theories. It seems to be well-known that the usual…

Mathematical Physics · Physics 2012-05-24 Jack Morava

We study a model for cascade effects over finite networks based on a deterministic binary linear threshold model. Our starting point is a networked coordination game where each agent's payoff is the sum of the payoffs coming from pairwise…

Discrete Mathematics · Computer Science 2013-01-04 Elie M. Adam , Munther A. Dahleh , Asuman Ozdaglar

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

This contribution is concerned with mathematical models for the dynamics of the genetic composition of populations evolving under recombination. Recombination is the genetic mechanism by which two parent individuals create the mixed type of…

Populations and Evolution · Quantitative Biology 2011-01-12 Ellen Baake

Interaction nets constitute a visual programming language grounded in graph transformation. Owing to their distinctive properties, they inherently facilitate parallelism in the rewriting step. This paper showcases a simple and concise…

Programming Languages · Computer Science 2025-03-27 Nikolaus Huber , Wang Yi

We consider a stationary Mean Field Games system defined on a network. In this framework, the transition conditions at the vertices play a crucial role: the ones here considered are based on the optimal control interpretation of the…

Analysis of PDEs · Mathematics 2015-05-20 Fabio Camilli , Claudio Marchi

The store language of a machine of some arbitrary type is the set of all store configurations (state plus store contents but not the input) that can appear in an accepting computation. New algorithms and characterizations of store languages…

Formal Languages and Automata Theory · Computer Science 2020-10-02 Oscar H. Ibarra , Ian McQuillan

Graph games and Markov decision processes (MDPs) are standard models in reactive synthesis and verification of probabilistic systems with nondeterminism. The class of $\omega$-regular winning conditions; e.g., safety, reachability,…

Logic in Computer Science · Computer Science 2019-06-28 Pranav Ashok , Tomáš Brázdil , Krishnendu Chatterjee , Jan Křetínský , Christoph H. Lampert , Viktor Toman

In this note we give a simple unifying proof of the undecidability of several diagrammatic properties of term rewriting systems that include: local confluence, strong confluence, diamond property, subcommutative property, and the existence…

Logic in Computer Science · Computer Science 2019-10-22 António Malheiro , Paulo Guilherme Santos

We show that it is decidable whether two regular languages of infinite trees are separable by a deterministic language, resp., a game language. We consider two variants of separability, depending on whether the set of priorities of the…

Formal Languages and Automata Theory · Computer Science 2021-05-05 Lorenzo Clemente , Michał Skrzypczak

We introduce and study pawn games, a class of two-player zero-sum turn-based graph games. A turn-based graph game proceeds by placing a token on an initial vertex, and whoever controls the vertex on which the token is located, chooses its…

Computer Science and Game Theory · Computer Science 2025-04-09 Guy Avni , Pranav Ghorpade , Shibashis Guha

Although the HO/N games are fully abstract for PCF, the traditional notion of innocence (which underpins these games) is not satisfactory for such language features as non-determinism and probabilistic branching, in that there are stateless…

Programming Languages · Computer Science 2014-09-10 Takeshi Tsukada , C. -H. Luke Ong

In this article, we discuss two algorithms tailored to discrete-time deterministic finite-horizon nonlinear optimal control problems or so-called deterministic trajectory optimization problems. Both algorithms can be derived from an…

Optimization and Control · Mathematics 2024-12-10 Mohammad Mahmoudi Filabadi , Tom Lefebvre , Guillaume Crevecoeur

Selection of input features such as relevant pieces of text has become a common technique of highlighting how complex neural predictors operate. The selection can be optimized post-hoc for trained models or incorporated directly into the…

Machine Learning · Computer Science 2019-10-29 Shiyu Chang , Yang Zhang , Mo Yu , Tommi S. Jaakkola

Deterministic and nondeterministic finite automata with translucent letters were introduced by Nagy and Otto more than a decade ago as Cooperative Distributed systems of a kind of stateless restarting automata with window size one. These…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Benedek Nagy

The goal of sentence and document modeling is to accurately represent the meaning of sentences and documents for various Natural Language Processing tasks. In this work, we present Dependency Sensitive Convolutional Neural Networks (DSCNN)…

Computation and Language · Computer Science 2016-11-09 Rui Zhang , Honglak Lee , Dragomir Radev

Machine learning solutions for pattern classification problems are nowadays widely deployed in society and industry. However, the lack of transparency and accountability of most accurate models often hinders their safe use. Thus, there is a…

Machine Learning · Computer Science 2021-12-24 Gonzalo Nápoles , Yamisleydi Salgueiro , Isel Grau , Maikel Leon Espinosa

Parallelism is often required for performance. In these situations an excess of non-determinism is harmful as it means the program can have several different behaviours or even different results. Even in domains such as high-performance…

Programming Languages · Computer Science 2022-10-28 Laure Gonnord , Ludovic Henrio , Lionel Morel , Gabriel Radanne