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An initializable array is an array that supports the read and write operations for any element and the initialization of the entire array. This paper proposes a simple in-place algorithm to implement an initializable array of length $N$…

Data Structures and Algorithms · Computer Science 2022-03-31 Takashi Katoh , Keisuke Goto

We study the notion of structured realizability for linear systems defined over graphs. A stabilizable and detectable realization is structured if the state-space matrices inherit the sparsity pattern of the adjacency matrix of the…

Systems and Control · Computer Science 2012-12-11 Laurent Lessard , Maxim Kristalny , Anders Rantzer

Almost all modern imperative programming languages include operations for dynamically manipulating the heap, for example by allocating and deallocating objects, and by updating reference fields. In the presence of recursive procedures and…

Programming Languages · Computer Science 2012-12-18 Jurriaan Rot , Irina Măriuca Asăvoae , Frank de Boer , Marcello M. Bonsangue , Dorel Lucanu

Stability is an important issue in order to characterize the performance of a network, and it has become a major topic of study in the last decade. Roughly speaking, a communication network system is said to be stable if the number of…

Networking and Internet Architecture · Computer Science 2020-05-06 Vicent Cholvi , Paweł Garncarek , Tomasz Jurdzinski , Dariusz R. Kowalski

Given an infinitesimal perturbation of a discrete-time finite Markov chain, we seek the states that are stable despite the perturbation, \textit{i.e.} the states whose weights in the stationary distributions can be bounded away from $0$ as…

Discrete Mathematics · Computer Science 2016-02-15 Volker Betz , Stephane Le Roux

This paper studies the well-posedness and regularity of safe stabilizing optimization-based controllers for control-affine systems in the presence of model uncertainty. When the system dynamics contain unknown parameters, a finite set of…

Optimization and Control · Mathematics 2024-01-01 Pol Mestres , Kehan Long , Nikolay Atanasov , Jorge Cortés

In the present paper, we introduce so-called operator-stable-like processes. Roughly speaking, they behave locally like operator-stable processes, but they need not to be homogenous in space. Having shown existence for this class of…

Probability · Mathematics 2024-01-19 Peter Scheffler , Alexander Schnurr , Daniel Schulte

An event structure is a mathematical abstraction modeling concepts as causality, conflict and concurrency between events. While many other mathematical structures, including groups, topological spaces, rings, abound with algorithms and…

Logic in Computer Science · Computer Science 2017-05-23 Juliana Bowles , Marco B. Caminati

We propose a simple linear-time on-line algorithm for constructing a position heap for a string [Ehrenfeucht et al, 2011]. Our definition of position heap differs slightly from the one proposed in [Ehrenfeucht et al, 2011] in that it…

Data Structures and Algorithms · Computer Science 2015-03-19 Gregory Kucherov

Capacitated network bargaining games are popular combinatorial games that involve the structure of matchings in graphs. We show that it is always possible to stabilize unit-weight instances of this problem (that is, ensure that they admit a…

Discrete Mathematics · Computer Science 2024-09-05 Laura Sanità , Lucy Verberk

To minimize network latency and remain online during server failures and network partitions, many modern distributed data storage systems eschew transactional functionality, which provides strong semantic guarantees for groups of multiple…

Databases · Computer Science 2013-10-08 Peter Bailis , Aaron Davidson , Alan Fekete , Ali Ghodsi , Joseph M. Hellerstein , Ion Stoica

In this paper we consider methods for dynamically storing a set of different objects ("modules") in a physical array. Each module requires one free contiguous subinterval in order to be placed. Items are inserted or removed, resulting in a…

Data Structures and Algorithms · Computer Science 2011-01-31 Michael A. Bender , Sándor P. Fekete , Tom Kamphans , Nils Schweer

Computational complexity is examined using the principle of increasing entropy. To consider computation as a physical process from an initial instance to the final acceptance is motivated because many natural processes have been recognized…

Computational Complexity · Computer Science 2012-03-20 Arto Annila

Tree structures are very often used data structures. Among ordered types of trees there are many variants whose basic operations such as insert, delete, search, delete-min are characterized by logarithmic time complexity. In the article I…

Data Structures and Algorithms · Computer Science 2007-08-23 David S. Planeta

Heap security has been a major concern since the past two decades. Recently many methods have been proposed to secure heap i.e. to avoid heap overrun and attacks. The paper describes a method suggested to secure heap at the operating system…

Cryptography and Security · Computer Science 2012-06-08 Arundhati Walia , Syed i. Ahson

We present several results about position heaps, a relatively new alternative to suffix trees and suffix arrays. First, we show that, if we limit the maximum length of patterns to be sought, then we can also limit the height of the heap and…

Data Structures and Algorithms · Computer Science 2013-01-15 Travis Gagie , Wing-Kai Hon , Tsung-Han Ku

We give a rigorous characterization of what it means for a programming language to be memory safe, capturing the intuition that memory safety supports local reasoning about state. We formalize this principle in two ways. First, we show how…

Programming Languages · Computer Science 2018-04-10 Arthur Azevedo de Amorim , Catalin Hritcu , Benjamin C. Pierce

This paper shows that it is possible to reason about the safety and termination of programs handling potentially cyclic, singly-linked lists using propositional reasoning even when the safety invariants and termination arguments depend on…

Logic in Computer Science · Computer Science 2014-10-21 Cristina David , Daniel Kroening , Matt Lewis

Growing main memory sizes have facilitated database management systems that keep the entire database in main memory. The drastic performance improvements that came along with these in-memory systems have made it possible to reunite the two…

Databases · Computer Science 2012-08-02 Florian Funke , Alfons Kemper , Thomas Neumann

Data-structure dynamization is a general approach for making static data structures dynamic. It is used extensively in geometric settings and in the guise of so-called merge (or compaction) policies in big-data databases such as Google…

Data Structures and Algorithms · Computer Science 2024-07-25 Claire Mathieu , Rajmohan Rajaraman , Neal E. Young , Arman Yousefi