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In this paper we present a unifying approach for deciding various bisimulations, simulation equivalences and preorders between two timed automata states. We propose a zone based method for deciding these relations in which we eliminate an…

Formal Languages and Automata Theory · Computer Science 2013-07-30 Shibashis Guha , Shankara Narayanan Krishna , Chinmay Narayan , S. Arun-Kumar

We introduce the notion of adaptive synchronisation for pushdown automata, in which there is an external observer who has no knowledge about the current state of the pushdown automaton, but can observe the contents of the stack. The…

Formal Languages and Automata Theory · Computer Science 2021-02-16 A. R. Balasubramanian , K. S. Thejaswini

Term rewriting plays a crucial role in software verification and compiler optimization. With dozens of highly parameterizable techniques developed to prove various system properties, automatic term rewriting tools work in an extensive…

Logic in Computer Science · Computer Science 2025-08-01 Liao Zhang , Fabian Mitterwallner , Jan Jakubuv , Cezary Kaliszyk

In this paper we describe an approach to finding the shortest reset word of a finite synchronizing automaton by using a SAT solver. We use this approach to perform an experimental study of the length of the shortest reset word of a finite…

Formal Languages and Automata Theory · Computer Science 2015-03-19 Evgeny Skvortsov , Evgeny Tipikin

The probabilistic bisimilarity distance of Deng et al. has been proposed as a robust quantitative generalization of Segala and Lynch's probabilistic bisimilarity for probabilistic automata. In this paper, we present a characterization of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Giorgio Bacci , Giovanni Bacci , Kim G. Larsen , Radu Mardare , Qiyi Tang , Franck van Breugel

We develop a probabilistic framework for \emph{rendezvous planning}: given sparse, noisy observations of a fast-moving target, plan rendezvous spatiotemporal coordinates for a set of significantly slower seeking agents. The unknown target…

Optimization and Control · Mathematics 2026-04-03 Thomas A. Scott , Lukas Taus , Yen-Hsi Richard Tsai , Tan Bui-Thanh , Justin G. R. Delva

This paper proposes an algorithm to maximize reachability probabilities for rectangular automata with random clocks via a history-dependent prophetic scheduler. This model class incorporates time-induced nondeterminism on discrete behavior…

Formal Languages and Automata Theory · Computer Science 2023-05-05 Joanna Delicaris , Stefan Schupp , Erika Ábrahám , Anne Remke

Scheduling is a critical part of practical computer systems, and scheduling has also been extensively studied from a theoretical perspective. Unfortunately, there is a gap between theory and practice, as the optimal scheduling policies…

Performance · Computer Science 2021-10-25 Ziv Scully , Mor Harchol-Balter

Berlinkov has suggested an algorithm that, given a deterministic finite automaton $\mathcal{A}$, verifies whether or not $\mathcal{A}$ is synchronizing in linear (of the number of states and letters) expected time. We present a modification…

Formal Languages and Automata Theory · Computer Science 2017-10-03 Pavel Ageev

Most slowly synchronizing automata over binary alphabets are circular, i.e., containing a letter permuting the states in a single cycle, and their set of synchronizing words has maximal state complexity, which also implies complete…

Formal Languages and Automata Theory · Computer Science 2020-12-01 Stefan Hoffmann

The firing squad synchronization problem (FSSP) on cellular automata has been studied extensively for more than forty years, and a rich variety of synchronization algorithms have been proposed for not only one-dimensional arrays but…

Formal Languages and Automata Theory · Computer Science 2012-08-15 Hiroshi Umeo , Kinuo Nishide , Keisuke Kubo

One of the classic results in scheduling theory is the 2-approximation algorithm by Lenstra, Shmoys, and Tardos for the problem of scheduling jobs to minimize makespan on unrelated machines, i.e., job j requires time p_{ij} if processed on…

Data Structures and Algorithms · Computer Science 2011-03-22 Ola Svensson

We study non-atomic congestion games on parallel-link networks with affine cost functions. We investigate the power of machine-learned predictions in the design of coordination mechanisms aimed at minimizing the impact of selfishness. Our…

Computer Science and Game Theory · Computer Science 2025-07-11 George Christodoulou , Vasilis Christoforidis , Alkmini Sgouritsa , Ioannis Vlachos

This work proposes an open-loop methodology to solve chance constrained stochastic optimal control problems for linear systems with a stochastic control matrix. We consider a joint chance constraint for polytopic time-varying target sets…

Systems and Control · Electrical Eng. & Systems 2023-08-15 Shawn Priore , Meeko Oishi

We consider the classic problem of scheduling jobs with precedence constraints on a set of identical machines to minimize the makespan objective function. Understanding the exact approximability of the problem when the number of machines is…

Data Structures and Algorithms · Computer Science 2020-04-30 Janardhan Kulkarni , Shi Li , Jakub Tarnawski , Minwei Ye

In this paper we introduce the notion of optimization under control and communication constraint in a robotic network. Starting from a general setup, we focus our attention on the problem of achieving rendezvous in minimum time for a…

Optimization and Control · Mathematics 2007-05-23 Giuseppe Notarstefano , Francesco Bullo

Metric Temporal Logic can express temporally evolving properties with time-critical constraints or time-triggered constraints for real-time systems. This paper extends the Metric Interval Temporal Logic with a distribution eventuality…

Formal Languages and Automata Theory · Computer Science 2021-05-12 Lening Li , Jie Fu

Markov automata combine non-determinism, probabilistic branching, and exponentially distributed delays. This compositional variant of continuous-time Markov decision processes is used in reliability engineering, performance evaluation and…

Logic in Computer Science · Computer Science 2017-05-11 Tim Quatmann , Sebastian Junges , Joost-Pieter Katoen

Timed automata are a convenient mathematical model for modelling and reasoning about real-time systems. While they provide a powerful way of representing timing aspects of such systems, timed automata assume arbitrary precision and…

Formal Languages and Automata Theory · Computer Science 2020-07-09 Emily Clement , Thierry Jéron , Nicolas Markey , David Mentré

We consider single-machine scheduling problems that are natural generalizations or variations of the min-sum set cover problem and the min-sum vertex cover problem. For each of these problems, we give new approximation algorithms. Some of…

Data Structures and Algorithms · Computer Science 2020-01-22 Felix Happach , Andreas S. Schulz
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