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The emptiness and containment problems for probabilistic automata are natural quantitative generalisations of the classical language emptiness and inclusion problems for Boolean automata. It is well known that both problems are undecidable.…

Formal Languages and Automata Theory · Computer Science 2020-03-31 Laure Daviaud , Marcin Jurdziński , Ranko Lazić , Filip Mazowiecki , Guillermo A. Pérez , James Worrell

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

Constraint-based causal discovery is brittle in finite-sample regimes because erroneous conditional-independence (CI) decisions can cascade into substantial structural errors. We propose Quantitative Argumentation for Causal Discovery…

Artificial Intelligence · Computer Science 2026-04-28 Sheng Wei , Yulin Chen , Beishui Liao

We consider the dichotomy conjecture for consistent query answering under primary key constraints. It states that, for every fixed Boolean conjunctive query q, testing whether q is certain (i.e. whether it evaluates to true over all repairs…

Databases · Computer Science 2024-05-27 Anantha Padmanabha , Luc Segoufin , Cristina Sirangelo

Evaluating a Boolean conjunctive query Q against a guarded first-order theory F is equivalent to checking whether "F and not Q" is unsatisfiable. This problem is relevant to the areas of database theory and description logic. Since Q may…

Logic in Computer Science · Computer Science 2019-03-14 Vince Bárány , Georg Gottlob , Martin Otto

From an inconsistent database non-trivial arguments may be constructed both for a proposition, and for the contrary of that proposition. Therefore, inconsistency in a logical database causes uncertainty about which conclusions to accept.…

Artificial Intelligence · Computer Science 2013-08-12 Morten Elvang-Gøransson , Paul J. Krause , John Fox

We consider the problem of defining semantic metrics for relational database queries. Informally, a semantic query metric for a query language $L$ is a metric function $\delta:L\times L\to \mathbb{N}$ where $\delta(Q_1, Q_2)$ represents the…

Databases · Computer Science 2025-03-25 George Fletcher , Peter Wood , Nikolay Yakovets

Querying is one of the basic functionality expected from a database system. Query efficiency is adversely affected by increase in the number of participating tables. Also, querying based on syntax largely limits the gamut of queries a…

Databases · Computer Science 2011-04-08 Gowri Shankar Ramaswamy , F Sagayaraj Francis

We study query containment in three closely related formalisms: monadic disjunctive Datalog (MDDLog), MMSNP (a logical generalization of constraint satisfaction problems), and ontology-mediated queries (OMQs) based on expressive description…

Logic in Computer Science · Computer Science 2020-10-23 Pierre Bourhis , Carsten Lutz

Conjunctive query (CQ) evaluation is NP-complete, but becomes tractable for fragments of bounded hypertreewidth. Approximating a hard CQ by a query from such a fragment can thus allow for an efficient approximate evaluation. While…

Databases · Computer Science 2019-04-02 Pablo Barceló , Miguel Romero , Thomas Zeume

The CAP Theorem is a frequently cited impossibility result in distributed systems, especially among NoSQL distributed databases. In this paper we survey some of the confusion about the meaning of CAP, including inconsistencies and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-21 Martin Kleppmann

We study the $generalized~model~counting~problem$, defined as follows: given a database, and a set of deterministic tuples, count the number of subsets of the database that include all deterministic tuples and satisfy the query. This…

Databases · Computer Science 2021-05-21 Batya Kenig , Dan Suciu

We investigate the first-order theory of closed subspaces of complex Hilbert spaces in the signature $(\lor,\perp,0,1)$, where `$\perp$' is the orthogonality relation. Our main result is that already its quasi-identities are undecidable:…

Quantum Physics · Physics 2021-06-22 Tobias Fritz

We study the reachability problem of a quantum system modelled by a quantum automaton. The reachable sets are chosen to be boolean combinations of (closed) subspaces of the state space of the quantum system. Four different reachability…

Logic in Computer Science · Computer Science 2014-01-27 Yangjia Li , Mingsheng Ying

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

Consistent query answering is the problem of computing the answers from a database that are consistent with respect to certain integrity constraints that the database as a whole may fail to satisfy. Those answers are characterized as those…

Databases · Computer Science 2007-05-23 L. Bertossi , L. Bravo , E. Franconi , A. Lopatenko

Access limitations are restrictions in the way in which the tuples of a relation can be accessed. Under access limitations, query answering becomes more complex than in the traditional case, with no guarantee that the answer tuples that can…

Databases · Computer Science 2014-01-06 Davide Martinenghi

We study the question of when we can provide direct access to the k-th answer to a Conjunctive Query (CQ) according to a specified order over the answers in time logarithmic in the size of the database, following a preprocessing step that…

Databases · Computer Science 2022-11-30 Nofar Carmeli , Nikolaos Tziavelis , Wolfgang Gatterbauer , Benny Kimelfeld , Mirek Riedewald

Query tractability has been traditionally defined as a function of input database and query sizes, or of both input and output sizes, where the query result is represented as a bag of tuples. In this report, we introduce a framework that…

Databases · Computer Science 2011-04-06 Dan Olteanu , Jakub Zavodny

The quantified constraint satisfaction problem (QCSP) is the problem of deciding, given a structure and a first-order prenex sentence whose quantifier-free part is the conjunction of atoms, whether or not the sentence holds on the…

Logic in Computer Science · Computer Science 2015-03-20 Hubie Chen