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In 1978, Schaefer proved his famous dichotomy theorem for generalized satisfiability problems. He defined an infinite number of propositional satisfiability problems (nowadays usually called Boolean constraint satisfaction problems) and…

Computational Complexity · Computer Science 2007-05-23 Elmar Böhler , Edith Hemaspaandra , Steffen Reith , Heribert Vollmer

Aggregate computation in relational databases has long been done using the standard unary aggregation and binary join operators. These implement the classical model of computing joins between relations two at a time, materializing the…

Databases · Computer Science 2019-06-18 Konstantinos Xirogiannopoulos , Amol Deshpande

Coordination is a challenging everyday task; just think of the last time you organized a party or a meeting involving several people. As a growing part of our social and professional life goes online, an opportunity for an improved…

Databases · Computer Science 2012-08-02 Konstantinos Mamouras , Sigal Oren , Lior Seeman , Lucja Kot , Johannes Gehrke

Causal inference in modern largescale systems faces growing challenges, including highdimensional covariates, multi-valued treatments, massive observational (OBS) data, and limited randomized controlled trial (RCT) samples due to cost…

Methodology · Statistics 2026-02-27 Yuxi Du , Zhiheng Zhang , Haoxuan Li , Cong Fang , Jixing Xu , Peng Zhen , Jiecheng Guo

Satisfiability of Boolean circuits is among the most known and important problems in theoretical computer science. This problem is NP-complete in general but becomes polynomial time when restricted either to monotone gates or linear gates.…

Computational Complexity · Computer Science 2017-10-24 Paweł M. Idziak , Jacek Krzaczkowski

Automata networks are a versatile model of finite discrete dynamical systems composed of interacting entities (the automata), able to embed any directed graph as a dynamics on its space of configurations (the set of vertices, representing…

Discrete Mathematics · Computer Science 2025-09-24 Aliénor Goubault-Larrecq , Kévin Perrot

We prove that if nonlinear complex polynomials of the same degree have orbits with infinite intersection, then the polynomials have a common iterate. We also prove a special case of a conjectured dynamical analogue of the Mordell-Lang…

Number Theory · Mathematics 2009-11-13 Dragos Ghioca , Thomas J. Tucker , Michael E. Zieve

Joint detection and estimation refers to deciding between two or more hypotheses and, depending on the test outcome, simultaneously estimating the unknown parameters of the underlying distribution. This problem is investigated in a…

Signal Processing · Electrical Eng. & Systems 2019-04-19 Dominik Reinhard , Michael Fauss , Abdelhak M. Zoubir

It is expensive to compute joins, often due to large intermediate relations. For acyclic joins, monotone join expressions are guaranteed to produce intermediate relations not larger than the size of the output of the join when it is…

Databases · Computer Science 2022-08-23 Foto N. Afrati

Given an even number of points in a plane, we are interested in matching all the points by straight line segments so that the segments do not cross. Bottleneck matching is a matching that minimizes the length of the longest segment. For…

Computational Geometry · Computer Science 2016-02-17 Marko Savić , Miloš Stojaković

We study the homology of simplicial and cubical sets with symmetries. These are simplicial and cubical sets with additional maps expressing the symmetries of simplices and cubes. We consider the chain complex computing the homology groups…

Algebraic Topology · Mathematics 2025-08-21 Curtis Greene , Volkmar Welker , Georg Wille

In the SetDisjointness problem, a collection of $m$ sets $S_1,S_2,...,S_m$ from some universe $U$ is preprocessed in order to answer queries on the emptiness of the intersection of some two query sets from the collection. In the…

Data Structures and Algorithms · Computer Science 2019-10-03 Isaac Goldstein , Moshe Lewenstein , Ely Porat

We investigate the computational complexity of finding temporally disjoint paths or walks in temporal graphs. There, the edge set changes over discrete time steps and a temporal path (resp. walk) uses edges that appear at monotonically…

Data Structures and Algorithms · Computer Science 2021-05-25 Nina Klobas , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Philipp Zschoche

Conjunctive Regular Path Queries, or CRPQs for short, are an essential construct in graph query languages. In this paper, we propose the first output-sensitive algorithm for evaluating acyclic CRPQs. It is output-sensitive in the sense that…

Databases · Computer Science 2025-09-30 Mahmoud Abo Khamis , Alexandru-Mihai Hurjui , Ahmet Kara , Dan Olteanu , Dan Suciu , Zilu Tian

Many natural computational problems in computer science, mathematics, physics, and other sciences amount to deciding if two objects are equivalent. Often this equivalence is defined in terms of group actions. A natural question is to ask…

Computational Complexity · Computer Science 2025-12-03 Vladimir Lysikov , Michael Walter

Correlation has been widely used to facilitate various information retrieval methods such as query expansion, relevance feedback, document clustering, and multi-modal fusion. Especially, correlation and independence are important issues…

Information Retrieval · Computer Science 2018-10-29 Dimitris Gkoumas , Sagar Uprety , Dawei Song

Non-idempotent intersection types are used in order to give a bound of the length of the normalization beta-reduction sequence of a lambda term: namely, the bound is expressed as a function of the size of the term.

Logic in Computer Science · Computer Science 2013-08-02 Erika De Benedetti , Simona Ronchi Della Rocca

We investigate parameterizations of both database instances and queries that make query evaluation fixed-parameter tractable in combined complexity. We introduce a new Datalog fragment with stratified negation, intensional-clique-guarded…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Pierre Bourhis , Mikaël Monet , Pierre Senellart

While extensive research on query evaluation has achieved consistent improvements in the time complexity of algorithms, the space complexity of query evaluation has been largely ignored. This is a particular challenge in settings with…

Databases · Computer Science 2025-09-29 Kyle Deeds , Timo Camillo Merkl , Reinhard Pichler , Dan Suciu

Boolean matching is significant to digital integrated circuits design. An exhaustive method for Boolean matching is computationally expensive even for functions with only a few variables, because the time complexity of such an algorithm for…

Computational Complexity · Computer Science 2021-11-12 Jiaxi Zhang , Liwei Ni , Shenggen Zheng , Hao Liu , Xiangfu Zou , Feng Wang , Guojie Luo
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