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Circumscription is one of the main approaches for defining non-monotonic description logics (DLs). While the decidability and complexity of traditional reasoning tasks such as satisfiability of circumscribed DL knowledge bases (KBs) is well…

Artificial Intelligence · Computer Science 2023-06-08 Carsten Lutz , Quentin Manière , Robin Nolte

Unitary recurrent neural networks (URNNs) have been proposed as a method to overcome the vanishing and exploding gradient problem in modeling data with long-term dependencies. A basic question is how restrictive is the unitary constraint on…

Machine Learning · Computer Science 2019-10-31 M. Emami , M. Sahraee-Ardakan , S. Rangan , A. K. Fletcher

GQL has recently emerged as the standard query language over graph databases (particularly, the property graph model). Indeed, this is analogous to the role of SQL for relational databases. Unlike SQL, however, fundamental problems…

Databases · Computer Science 2025-10-23 Diego Figueira , Anthony W. Lin , Liat Peterfreund

Matrix Completion is the problem of recovering an unknown real-valued low-rank matrix from a subsample of its entries. Important recent results show that the problem can be solved efficiently under the assumption that the unknown matrix is…

Computational Complexity · Computer Science 2014-04-11 Moritz Hardt , Raghu Meka , Prasad Raghavendra , Benjamin Weitz

We consider vehicle-routing problems (VRPs) that incorporate the notion of {\em regret} of a client, which is a measure of the waiting time of a client relative to its shortest-path distance from the depot. Formally, we consider both the…

Data Structures and Algorithms · Computer Science 2013-11-26 Zachary Friggstad , Chaitanya Swamy

We study the model-checking problem for recursion schemes: does the tree generated by a given higher-order recursion scheme satisfy a given logical sentence. The problem is known to be decidable for sentences of the MSO logic. We prove…

Logic in Computer Science · Computer Science 2023-06-22 Paweł Parys

Warehouses are nowadays the scene of complex logistic problems integrating different decision layers. This paper addresses the Joint Order Batching, Picker Routing and Sequencing Problem with Deadlines (JOBPRSP-D) in rectangular warehouses.…

Optimization and Control · Mathematics 2023-07-04 Olivier Briant , Hadrien Cambazard , Diego Cattaruzza , Nicolas Catusse , Anne-Laure Ladier , Maxime Ogier

Formulating selective information needs results in queries that implicitly specify set operations, such as intersection, union, and difference. For instance, one might search for "shorebirds that are not sandpipers" or "science-fiction…

Computation and Language · Computer Science 2023-06-01 Chaitanya Malaviya , Peter Shaw , Ming-Wei Chang , Kenton Lee , Kristina Toutanova

Motivated by the problem of finding finite versions of classical incompleteness theorems, we present some conjectures that go beyond ${\bf NP\neq co NP}$. These conjectures formally connect computational complexity with the difficulty of…

Logic · Mathematics 2017-05-22 Pavel Pudlak

Benchmark instances for the unbounded knapsack problem are typically generated according to specific criteria within a given constant range $R$, and these instances can be referred to as the unbounded knapsack problem with bounded…

Data Structures and Algorithms · Computer Science 2024-03-19 Yang Yang

In the last decade, substantial progress has been made towards standardizing the syntax of graph query languages, and towards understanding their semantics and complexity of evaluation. In this paper, we consider temporal property graphs…

Databases · Computer Science 2022-03-11 Marcelo Arenas , Pedro Bahamondes , Amir Aghasadeghi , Julia Stoyanovich

Hypergeometric sequences are rational-valued sequences that satisfy first-order linear recurrence relations with polynomial coefficients; that is, $\langle u_n \rangle_{n=0}^\infty$ is hypergeometric if it satisfies a first-order linear…

Logic in Computer Science · Computer Science 2024-04-25 George Kenison

This paper revives a four-decade-old problem concerning regularity theory for (continuous) constraint maps with free boundaries. Dividing the map into two parts, the distance part and the projected image to the constraint, one can prove…

Analysis of PDEs · Mathematics 2023-02-17 Alessio Figalli , Sunghan Kim , Henrik Shahgholian

The degree of a CSP instance is the maximum number of times that a variable may appear in the scope of constraints. We consider the approximate counting problem for Boolean CSPs with bounded-degree instances, for constraint languages…

Computational Complexity · Computer Science 2010-02-03 Martin E. Dyer , Leslie Ann Goldberg , Markus Jalsenius , David Richerby

We show that deciding boundedness (aka FO-rewritability) of monadic single rule datalog programs (sirups) is 2Exp-hard, which matches the upper bound known since 1988 and finally settles a long-standing open problem. We obtain this result…

Computational Complexity · Computer Science 2021-08-03 Stanislav Kikot , Agi Kurucz , Vladimir Podolskii , Michael Zakharyaschev

We study the computational complexity of universality and inclusion problems for unambiguous finite automata and context-free grammars. We observe that several such problems can be reduced to the universality problem for unambiguous…

Formal Languages and Automata Theory · Computer Science 2020-08-12 Lorenzo Clemente

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

Automatic query reformulation refers to rewriting a user's original query in order to improve the ranking of retrieval results compared to the original query. We present a general framework for automatic query reformulation based on…

Information Retrieval · Computer Science 2015-07-15 Fernando Diaz

We clarify the complexity of answering unions of conjunctive queries over knowledge bases formulated in the description logic $\mathcal S$, the extension of $\mathcal{ALC}$ with transitive roles. Contrary to what existing partial results…

Logic in Computer Science · Computer Science 2026-05-11 Yazmín Ibáñez-García , Jean Christoph Jung , Vincent Michielini , Filip Murlak

The joint replenishment problem (JRP) is a classical inventory management problem. We consider a natural generalization with outliers, where we are allowed to reject (that is, not service) a subset of demand points. In this paper, we are…

Data Structures and Algorithms · Computer Science 2023-08-10 Varun Suriyanarayana , Varun Sivashankar , Siddharth Gollapudi , David Shmoys
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