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This paper applies Algorithmic Information Theory to simple examples of replication processes to illustrate how replicating structures can generate and maintain order in a non equilibrium system. Variation in replicating structures enhances…

适应与自组织系统 · 物理学 2008-11-12 Sean D Devine

This paper introduces a fundamental result, which is relevant for Answer Set programming, and planning. For the first time since the definition of the stable model semantics, the class of logic programs for which a stable model exists is…

人工智能 · 计算机科学 2007-05-23 Stefania Costantini

We consider the problem of storing a dynamic string $S$ over an alphabet $\Sigma=\{\,1,\ldots,\sigma\,\}$ in compressed form. Our representation supports insertions and deletions of symbols and answers three fundamental queries:…

数据结构与算法 · 计算机科学 2015-07-27 J. Ian Munro , Yakov Nekrich

Self-stabilization is a versatile fault-tolerance approach that characterizes the ability of a system to eventually resume a correct behavior after any finite number of transient faults. In this paper, we propose a self-stabilizing reset…

分布式、并行与集群计算 · 计算机科学 2019-04-23 Stéphane Devismes , Colette Johnen

The smooth heap is a recently introduced self-adjusting heap [Kozma, Saranurak, 2018] similar to the pairing heap [Fredman, Sedgewick, Sleator, Tarjan, 1986]. The smooth heap was obtained as a heap-counterpart of Greedy BST, a binary search…

数据结构与算法 · 计算机科学 2021-07-13 Maria Hartmann , László Kozma , Corwin Sinnamon , Robert E. Tarjan

The \emph{Order-Maintenance} (OM) data structure maintains a total order list of items for insertions, deletions, and comparisons. As a basic data structure, OM has many applications, such as maintaining the topological order, core numbers,…

数据结构与算法 · 计算机科学 2024-10-15 Bin Guo , Emil Sekerinski

We investigate the decidability of automatic program verification for programs that manipulate heaps, and in particular, decision procedures for proving memory safety for them. We extend recent work that identified a decidable subclass of…

编程语言 · 计算机科学 2020-01-01 Umang Mathur , Adithya Murali , Paul Krogmeier , P. Madhusudan , Mahesh Viswanathan

This paper argues that mathematical objects are constructions and that constructions introduce a flexibility in the ways that mathematical objects are represented (as sets of binary sequences for example) and presented (in a particular…

逻辑 · 数学 2020-01-14 Andrew Powell

In this paper, we study a problem of truthful mechanism design for a strategic variant of the generalized assignment problem (GAP) in a both payment-free and prior-free environment. In GAP, a set of items has to be optimally assigned to a…

计算机科学与博弈论 · 计算机科学 2017-01-17 Salman Fadaei , Martin Bichler

Lattice data structures are space efficient and cache-suitable data structures. The basic searching, insertion, and deletion operations are of time complexity $O(\sqrt{N})$. We give a jump searching algorithm of time complexity…

数据结构与算法 · 计算机科学 2016-05-16 Mohammad Obiedat

Formal reasoning about the time complexity of algorithms and data structures is usually done in interactive theorem provers like Isabelle/HOL. This includes reasoning about amortized time complexity which looks at the worst case performance…

计算复杂性 · 计算机科学 2024-07-19 Jan van Brügge

A real harmonizable multifractional stable process is defined, its H\"older continuity and localizability are proved. The existence of local time is shown and its regularity is established.

概率论 · 数学 2012-06-28 Marco Dozzi , Georgiy Shevchenko

Herman's algorithm is a synchronous randomized protocol for achieving self-stabilization in a token ring consisting of N processes. The interaction of tokens makes the dynamics of the protocol very difficult to analyze. In this paper we…

数据结构与算法 · 计算机科学 2011-04-18 Stefan Kiefer , Andrzej Murawski , Joël Ouaknine , James Worrell , Lijun Zhang

Arrays are a fundamental abstraction to represent collections of data. It is often possible to exploit structural properties of the data stored in an array (e.g., repetition or sparsity) to develop a specialised representation optimised for…

编程语言 · 计算机科学 2024-04-10 Vladimir Gladshtein , Qiyuan Zhao , Willow Ahrens , Saman Amarasinghe , Ilya Sergey

The heap is a basic data structure used in a wide variety of applications, including shortest path and minimum spanning tree algorithms. In this paper we explore the design space of comparison-based, amortized-efficient heap…

数据结构与算法 · 计算机科学 2009-03-03 Bernhard Haeupler , Siddhartha Sen , Robert E. Tarjan

A heap is a structure with a ternary operation which is intuitively a group with forgotten unit element. Quantum heaps are associative algebras with a ternary cooperation which are to the Hopf algebras what heaps are to groups, and, in…

量子代数 · 数学 2008-11-26 Zoran Škoda

State space subspace algorithms for input-output systems have been widely applied but also have a reasonably well-developedasymptotic theory dealing with consistency. However, guaranteeing the stability of the estimated system matrix is a…

系统与控制 · 电气工程与系统科学 2024-08-19 Xinhui Rong , Victor Solo

Bagging is an important technique for stabilizing machine learning models. In this paper, we derive a finite-sample guarantee on the stability of bagging for any model. Our result places no assumptions on the distribution of the data, on…

机器学习 · 统计学 2024-04-26 Jake A. Soloff , Rina Foygel Barber , Rebecca Willett

A hash table is said to be open-addressed (or non-obliviously open-addressed) if it stores elements (and free slots) in an array with no additional metadata. Intuitively, open-addressed hash tables must incur a space-time tradeoff: The…

数据结构与算法 · 计算机科学 2025-03-19 Michael A. Bender , William Kuszmaul , Renfei Zhou

Recent progress in the field of robotic manipulation has generated interest in fully automatic object packing in warehouses. This paper proposes a formulation of the packing problem that is tailored to the automated warehousing domain.…

机器人学 · 计算机科学 2018-12-12 Fan Wang , Kris Hauser