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We call a matrix completely mixable if the entries in its columns can be permuted so that all row sums are equal. If it is not completely mixable, we want to determine the smallest maximal and largest minimal row sum attainable. These…

Optimization and Control · Mathematics 2015-01-06 Utz-Uwe Haus

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

Pushdown Vector Addition Systems with States (PVASS) consist of finitely many control states, a pushdown stack, and a set of counters that can be incremented and decremented, but not tested for zero. Whether the reachability problem is…

Formal Languages and Automata Theory · Computer Science 2023-11-01 A. R. Balasubramanian , Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Standpoint linear temporal logic SLTL is a recent formalism able to model possibly conflicting commitments made by distinct agents, taking into account aspects of temporal reasoning. In this paper, we analyse the computational properties of…

Logic in Computer Science · Computer Science 2024-08-19 Stéphane Demri , Przemysław Andrzej Wałęga

We study the satisfiability problem of symbolic finite automata and decompose it into the satisfiability problem of the theory of the input characters and the monadic second-order theory of the indices of accepted words. We use our…

Logic in Computer Science · Computer Science 2023-07-04 Rodrigo Raya

We study approximation algorithms for scheduling problems with the objective of minimizing total weighted completion time, under identical and related machine models with job precedence constraints. We give algorithms that improve upon many…

Data Structures and Algorithms · Computer Science 2017-07-26 Shi Li

We propose a novel exact algorithm for the transportation problem, one of the paradigmatic network optimization problems. The algorithm, denoted Iterated Inside Out, requires in input a basic feasible solution and is composed by two main…

Optimization and Control · Mathematics 2023-03-30 Roberto Bargetto , Federico Della Croce , Rosario Scatamacchia

This paper considers the problem of matrix completion when some number of the columns are completely and arbitrarily corrupted, potentially by a malicious adversary. It is well-known that standard algorithms for matrix completion can return…

Machine Learning · Statistics 2016-04-26 Yudong Chen , Huan Xu , Constantine Caramanis , Sujay Sanghavi

We introduce the class of Interrupt Timed Automata (ITA), a subclass of hybrid automata well suited to the description of timed multi-task systems with interruptions in a single processor environment. While the reachability problem is…

Formal Languages and Automata Theory · Computer Science 2012-03-30 Béatrice Bérard , Serge Haddad , Mathieu Sassolas

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

We consider the model of parametrized asynchronous shared-memory pushdown systems, as introduced in [Hague'11]. In a series of recent papers it has been shown that reachability in this model is PSPACE-complete [Esparza, Ganty, Majumdar'13]…

Formal Languages and Automata Theory · Computer Science 2016-07-19 Marie Fortin , Anca Muscholl , Igor Walukiewicz

Equality saturation is an emerging technique for program and query optimization developed in the programming language community. It performs term rewriting over an E-graph, a data structure that compactly represents a program space. Despite…

Programming Languages · Computer Science 2025-01-07 Dan Suciu , Yisu Remy Wang , Yihong Zhang

We introduce the class of tree constraint automata with data values in Z (equipped with the less than relation and equality predicates to constants) and we show that the nonemptiness problem is ExpTime-complete. Using an automata-based…

Logic in Computer Science · Computer Science 2025-06-25 Stephane Demri , Karin Quaas

We consider the state-minimisation problem for weighted and probabilistic automata. We provide a numerically stable polynomial-time minimisation algorithm for weighted automata, with guaranteed bounds on the numerical error when run with…

Formal Languages and Automata Theory · Computer Science 2014-05-02 Stefan Kiefer , Björn Wachter

We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata…

Formal Languages and Automata Theory · Computer Science 2012-10-09 Vojtech Forejt , Petr Jancar , Stefan Kiefer , James Worrell

We present a survey of the saturation method for model-checking pushdown systems.

Formal Languages and Automata Theory · Computer Science 2014-05-23 Arnaud Carayol , Matthew Hague

The question if a deterministic finite automaton admits a software reset in the form of a so-called synchronizing word can be answered in polynomial time. In this paper, we extend this algorithmic question to deterministic automata beyond…

Formal Languages and Automata Theory · Computer Science 2020-12-23 Henning Fernau , Petra Wolf , Tomoyuki Yamakami

In this paper we study a subclass of pebble automata (PA) for data languages for which the emptiness problem is decidable. Namely, we introduce the so-called top view weak PA. Roughly speaking, top view weak PA are weak PA where the…

Formal Languages and Automata Theory · Computer Science 2015-05-14 Tony Tan

Robots have a finite supply of resources such as fuel, battery charge, and storage space. The aim of the Stochastic Collection and Replenishment (SCAR) scenario is to use dedicated agents to refuel, recharge, or otherwise replenish robots…

Robotics · Computer Science 2016-03-08 Andrew W. Palmer , Andrew J. Hill , Steven J. Scheding

This paper considers parallel machine scheduling with incompatibilities between jobs. The jobs form a graph and no two jobs connected by an edge are allowed to be assigned to the same machine. In particular, we study the case where the…

Computational Complexity · Computer Science 2021-03-16 Klaus Jansen , Alexandra Lassota , Marten Maack , Tytus Pikies