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The satisfiability and finite satisfiability problems for the two-variable guarded fragment of first-order logic with counting quantifiers, a database, and path-functional dependencies are both ExpTime-complete.

Logic in Computer Science · Computer Science 2023-06-22 Georgios Kourtis , Ian Pratt-Hartmann

We address the problem of checking query containment, a foundational problem in database research. Although extensively studied in theory research, optimization opportunities arising from query containment are not fully leveraged in…

Databases · Computer Science 2026-03-17 Luisa Gerlach , Tobias Köppl , René Zander , Nicole Schweikardt , Stefanie Scherzinger

We often add arithmetic to extend the expressiveness of query languages and study the complexity of problems such as testing query containment and finding certain answers in the framework of answering queries using views. When adding…

Databases · Computer Science 2020-11-19 Foto N. Afrati , Matthew Damigos

Deciding the amalgamation property for a given class of finite structures is an important subroutine in classifying countable finitely homogeneous structures. We study the computational complexity of the amalgamation decision problem for…

Logic in Computer Science · Computer Science 2025-09-03 Jakub Rydval

Finite automata (FA) are a fundamental computational abstraction that is widely used in practice for various tasks in computer science, linguistics, biology, electrical engineering, and artificial intelligence. Given an input word, an FA…

Artificial Intelligence · Computer Science 2026-04-22 Jaime Cuartas Granada , Alexey Ignatiev , Peter J. Stuckey

Register automata extend classical finite automata with a finite set of registers that can store data from an infinite data domain for later equality comparisons with data from an input data word. While the registers in the original model…

Formal Languages and Automata Theory · Computer Science 2019-05-30 Antoine Mottet , Karin Quaas

Answers to the same question may change depending on the extra-linguistic contexts (when and where the question was asked). To study this challenge, we introduce SituatedQA, an open-retrieval QA dataset where systems must produce the…

Computation and Language · Computer Science 2021-09-14 Michael J. Q. Zhang , Eunsol Choi

We prove a new lower bound for the unitary synthesis problem in the so-called 1.5-query setting. Our analysis establishes that any attempt to implement arbitrary n-qubit unitaries via limited oracle access requires resources that exceed the…

Quantum Physics · Physics 2025-08-22 Eric Huang

A lot of research activity has recently taken place around the chase procedure, due to its usefulness in data integration, data exchange, query optimization, peer data exchange and data correspondence, to mention a few. As the chase has…

Databases · Computer Science 2013-03-28 Gosta Grahne , Adrian Onet

We study the problem of counting answers to unions of conjunctive queries (UCQs) under structural restrictions on the input query. Concretely, given a class C of UCQs, the problem #UCQ(C) provides as input a UCQ Q in C and a database D and…

Discrete Mathematics · Computer Science 2026-02-24 Jacob Focke , Leslie Ann Goldberg , Marc Roth , Stanislav Živný

The Guarded Negation Fragment (GNFO) is a fragment of first-order logic that contains all positive existential formulas, can express the first-order translations of basic modal logic and of many description logics, along with many sentences…

Logic in Computer Science · Computer Science 2020-05-15 Vince Barany , Michael Benedikt , Balder ten Cate

As an important part of Artificial Intelligence (AI), Question Answering (QA) aims at generating answers to questions phrased in natural language. While there has been substantial progress in open-domain question answering, QA systems are…

Computation and Language · Computer Science 2021-05-21 Gengchen Mai , Krzysztof Janowicz , Rui Zhu , Ling Cai , Ni Lao

Open forms of global constraints allow the addition of new variables to an argument during the execution of a constraint program. Such forms are needed for difficult constraint programming problems where problem construction and problem…

Logic in Computer Science · Computer Science 2021-02-16 Michael J. Maher

Recently, end-to-end trained models for multiple-choice commonsense question answering (QA) have delivered promising results. However, such question-answering systems cannot be directly applied in real-world scenarios where answer…

Computation and Language · Computer Science 2023-03-21 Zhen Han , Yue Feng , Mingming Sun

Complex query answering (CQA) on knowledge graphs (KGs) is gaining momentum as a challenging reasoning task. In this paper, we show that the current benchmarks for CQA might not be as complex as we think, as the way they are built distorts…

Machine Learning · Computer Science 2025-07-04 Cosimo Gregucci , Bo Xiong , Daniel Hernandez , Lorenzo Loconte , Pasquale Minervini , Steffen Staab , Antonio Vergari

Formalisms based on temporal logics interpreted over finite strict linear orders, known in the literature as finite traces, have been used for temporal specification in automated planning, process modelling, (runtime) verification and…

Logic in Computer Science · Computer Science 2022-02-02 Alessandro Artale , Andrea Mazzullo , Ana Ozaki

Question Answering (QA), as a research field, has primarily focused on either knowledge bases (KBs) or free text as a source of knowledge. These two sources have historically shaped the kinds of questions that are asked over these sources,…

Computation and Language · Computer Science 2019-02-26 Igor Labutov , Bishan Yang , Anusha Prakash , Amos Azaria

We study the problem of finite entailment of ontology-mediated queries. Going beyond local queries, we allow transitive closure over roles. We focus on ontologies formulated in the description logics ALCOI and ALCOQ, extended with…

Artificial Intelligence · Computer Science 2020-07-01 Tomasz Gogacz , Víctor Gutiérrez-Basulto , Albert Gutowski , Yazmín Ibáñez-García , Filip Murlak

Abstract argumentation frameworks (AFs) provide a formal setting to analyze many forms of reasoning with conflicting information. While the expressiveness of general infinite AFs make them a tempting tool for modeling many kinds of…

Artificial Intelligence · Computer Science 2025-08-26 Uri Andrews , Luca San Mauro

In this paper, we explore conjunctive query rewriting, focusing on queries containing universally quantified negation within the framework of disjunctive existential rules. We address the undecidability of the existence of a finite and…

Logic in Computer Science · Computer Science 2023-10-20 Enrique Matos Alfonso , Giorgos Stamou