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This report presents an elementary theory of unification for positive conjunctive queries. A positive conjunctive query is a formula constructed from propositional constants, equations and atoms using the conjunction $\wedge$ and the…

Logic in Computer Science · Computer Science 2022-07-19 Ján Komara

The problem of consistent query answering for primary keys and self-join-free conjunctive queries has been intensively studied in recent years and is by now well understood. In this paper, we study an extension of this problem with…

Databases · Computer Science 2024-02-12 Aziz Amezian El Khalfioui , Jef Wijsen

We consider the task of enumerating and counting answers to $k$-ary conjunctive queries against relational databases that may be updated by inserting or deleting tuples. We exhibit a new notion of q-hierarchical conjunctive queries and show…

Databases · Computer Science 2017-02-22 Christoph Berkholz , Jens Keppeler , Nicole Schweikardt

We study the complexity of various fundamental counting problems that arise in the context of incomplete databases, i.e., relational databases that can contain unknown values in the form of labeled nulls. Specifically, we assume that the…

Databases · Computer Science 2021-04-29 Marcelo Arenas , Pablo Barceló , Mikaël Monet

We introduce a new algorithm for checking satisfiability based on a calculus of Dependency sequents (D-sequents). Given a CNF formula F(X), a D-sequent is a record stating that under a partial assignment a set of variables of X is redundant…

Logic in Computer Science · Computer Science 2012-07-23 Eugene Goldberg , Panagiotis Manolios

Two natural decision problems regarding the XML query language XQuery are well-definedness and semantic type-checking. We study these problems in the setting of a relational fragment of XQuery. We show that well-definedness and semantic…

Databases · Computer Science 2007-05-23 Jan Van den Bussche , Dirk Van Gucht , Stijn Vansummeren

Congruence closure procedures are used extensively in automated reasoning and are a core component of most satisfiability modulo theories solvers. However, no known congruence closure algorithms can support any of the expressive logics…

Logic in Computer Science · Computer Science 2017-05-10 Daniel Selsam , Leonardo de Moura

Chat-based language models are designed to be helpful, yet they should not comply with every user request. While most existing work primarily focuses on refusal of "unsafe" queries, we posit that the scope of noncompliance should be…

For Hilbert, the consistency of a formal theory T is an infinite series of statements "D is free of contradictions" for each derivation D and a consistency proof is i) an operation that, given D, yields a proof that D is free of…

Logic · Mathematics 2024-03-20 Sergei Artemov

We study the interaction of views, queries, and background knowledge in the form of existential rules. The motivating questions concern monotonic determinacy of a query using views w.r.t. rules, which refers to the ability to recover the…

Databases · Computer Science 2024-07-23 Michael Benedikt , Stanislav Kikot , Johannes Marti , Piotr Ostropolski-Nalewaja

Our main results are in the following three sections: 1. We prove new relations between proof complexity conjectures that are discussed in \cite{pu18}. 2. We investigate the existence of p-optimal proof systems for $\mathsf{TAUT}$, assuming…

Logic · Mathematics 2019-04-08 Erfan Khaniki

Tables on the Web contain a vast amount of knowledge in a structured form. To tap into this valuable resource, we address the problem of table retrieval: answering an information need with a ranked list of tables. We investigate this…

Information Retrieval · Computer Science 2021-05-14 Shuo Zhang , Krisztian Balog

Large language models (LLMs) often rely on outdated knowledge when answering time-sensitive questions, leading to confident yet incorrect responses. Without explicit signals indicating whether up-to-date information is required, models…

Computation and Language · Computer Science 2026-03-18 Bhawna Piryani , Zehra Mert , Adam Jatowt

Organizations continuously accumulate data, often according to some business processes. If one poses a query over such data for decision support, it is important to know whether the query is stable, that is, whether the answers will stay…

Databases · Computer Science 2015-12-23 Ognjen Savkovic , Elisa Marengo , Werner Nutt

The problem of verifying whether a textual hypothesis holds based on the given evidence, also known as fact verification, plays an important role in the study of natural language understanding and semantic representation. However, existing…

Computation and Language · Computer Science 2020-06-16 Wenhu Chen , Hongmin Wang , Jianshu Chen , Yunkai Zhang , Hong Wang , Shiyang Li , Xiyou Zhou , William Yang Wang

The fitting problem for conjunctive queries (CQs) is the problem to construct a CQ that fits a given set of labeled data examples. When a fitting CQ exists, it is in general not unique. This leads us to proposing natural refinements of the…

Databases · Computer Science 2025-09-25 Balder ten Cate , Victor Dalmau , Maurice Funk , Carsten Lutz

Feature model configuration can be supported on the basis of various types of reasoning approaches. Examples thereof are SAT solving, constraint solving, and answer set programming (ASP). Using these approaches requires technical expertise…

Artificial Intelligence · Computer Science 2023-08-15 Alexander Felfernig , Viet-Man Le , Sebastian Lubos

Question Answering over Tabular Data (Table QA) presents unique challenges due to the diverse structure, size, and data types of real-world tables. The SemEval 2025 Task 8 (DataBench) introduced a benchmark composed of large-scale,…

Computation and Language · Computer Science 2025-09-12 Rishit Tyagi , Mohit Gupta , Rahul Bouri

A fundamental question in causal inference is whether it is possible to reliably infer manipulation effects from observational data. There are a variety of senses of asymptotic reliability in the statistical literature, among which the most…

Artificial Intelligence · Computer Science 2012-12-12 Jiji Zhang , Peter L. Spirtes

We present a number of first- and second-order extensions to SMT theories specifically aimed at representing and analyzing SQL queries with join, projection, and selection operations. We support reasoning about SQL queries with either bag…

Logic in Computer Science · Computer Science 2024-05-28 Mudathir Mohamed , Andrew Reynolds , Cesare Tinelli , Clark Barrett