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Weighted automata are non-deterministic automata where the transitions are equipped with weights. They can model quantitative aspects of systems like costs or energy consumption. The value of a run can be computed, for example, as the…

Logic in Computer Science · Computer Science 2015-06-22 Manfred Droste , Vitaly Perevoshchikov

It is well known that the kind of P systems involved in the definition of the P conjecture is able to solve problems in the complexity class $\mathbf{P}$ by leveraging the uniformity condition. Here we show that these systems are indeed…

Computational Complexity · Computer Science 2020-08-05 Alberto Leporati , Luca Manzoni , Giancarlo Mauri , Antonio E. Porreca , Claudio Zandron

We investigate hyper-minimization for deterministic register automata (DRAs). We begin by introducing DRA counterparts of classical notions from deterministic finite automata. Building on these foundations, we present an algorithm for…

Formal Languages and Automata Theory · Computer Science 2026-05-06 Yong Li , Qiyi Tang , Di-De Yen

We consider the solution of complex symmetric shifted linear systems. Such systems arise in large-scale electronic structure simulations and there is a strong need for the fast solution of the systems. With the aim of solving the systems…

Numerical Analysis · Mathematics 2009-02-17 T. Sogabe , T. Hoshi , S. -L. Zhang , T. Fujiwara

Motivated by the successful application of the theory of regular languages to formal verification of finite-state systems, there is a renewed interest in developing a theory of analyzable functions from strings to numerical values that can…

Formal Languages and Automata Theory · Computer Science 2012-02-23 Rajeev Alur , Loris D'Antoni , Jyotirmoy V. Deshmukh , Mukund Raghothaman , Yifei Yuan

Deterministic one-way time-bounded multi-counter automata are studied with respect to their ability to perform reversible computations, which means that the automata are also backward deterministic and, thus, are able to uniquely step the…

Formal Languages and Automata Theory · Computer Science 2022-09-01 Martin Kutrib , Andreas Malcher

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

This paper introduces a new class of robust estimates for ARMA models. They are M-estimates, but the residuals are computed so the effect of one outlier is limited to the period where it occurs. These estimates are closely related to those…

Statistics Theory · Mathematics 2009-04-02 Nora Muler , Daniel Peña , Víctor J. Yohai

Naive approaches to amortized inference in probabilistic programs with unbounded loops can produce estimators with infinite variance. This is particularly true of importance sampling inference in programs that explicitly include rejection…

Since the seminal work by Angluin and the introduction of the L*-algorithm, active learning of automata by membership and equivalence queries has been extensively studied to learn various extensions of automata. For weighted automata,…

Formal Languages and Automata Theory · Computer Science 2025-08-13 Laure Daviaud , Marianne Johnson

It is common practice to compare the computational power of different models of computation. For example, the recursive functions are strictly more powerful than the primitive recursive functions, because the latter are a proper subset of…

Logic in Computer Science · Computer Science 2020-06-11 Udi Boker , Nachum Dershowitz

We consider the online problem of minimizing weighted flow-time on unrelated machines. Although much is known about this problem in the resource-augmentation setting, these results assume that jobs can be preempted. We give the first…

Data Structures and Algorithms · Computer Science 2018-05-25 Anupam Gupta , Amit Kumar , Jason Li

We present a few classes of synchronizing automata exhibiting certain extremal properties with regard to synchronization. The first is a series of automata with subsets whose shortest extending words are of length $\varTheta(n^2)$, where…

Formal Languages and Automata Theory · Computer Science 2016-08-04 Andrzej Kisielewicz , Marek Szykuła

We investigate weakly constrained codes, in which specific patterns occur with prescribed frequencies rather than being strictly forbidden as in conventional constrained coding. We propose a capacity-achieving construction of a weakly…

Information Theory · Computer Science 2026-05-22 Prachi Mishra , Sidharth Jaggi , Navin Kashyap , Michael Langberg

A famous result by Milner is that the lambda-calculus can be simulated inside the pi-calculus. This simulation, however, holds only modulo strong bisimilarity on processes, i.e. there is a slight mismatch between beta-reduction and how it…

Programming Languages · Computer Science 2013-02-27 Beniamino Accattoli

We introduce a subclass of linear recurrence sequences which we call poly-rational sequences because they are denoted by rational expressions closed under sum and product. We show that this class is robust by giving several…

Formal Languages and Automata Theory · Computer Science 2019-08-13 Corentin Barloy , Nathanaël Fijalkow , Nathan Lhote , Filip Mazowiecki

Automata with monitor counters, where the transitions do not depend on counter values, and nested weighted automata are two expressive automata-theoretic frameworks for quantitative properties. For a well-studied and wide class of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

Esparza and Reiter have recently conducted a systematic comparative study of weak asynchronous models of distributed computing, in which a network of identical finite-state machines acts cooperatively to decide properties of the network's…

Formal Languages and Automata Theory · Computer Science 2025-04-11 Flavio T. Principato , Javier Esparza , Philipp Czerner

In the context of sparse principal component detection, we bring evidence towards the existence of a statistical price to pay for computational efficiency. We measure the performance of a test by the smallest signal strength that it can…

Statistics Theory · Mathematics 2013-04-29 Quentin Berthet , Philippe Rigollet

The widespread prevalence of data breaches amplifies the importance of auditing storage systems. In this work, we initiate the study of auditable storage emulations, which provide the capability for an auditor to report the previously…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-19 Vinicius V. Cogo , Alysson Bessani
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