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We study consistent query answering in relational databases. We consider an expressive class of schema constraints that generalizes both tuple-generating dependencies and equality-generating dependencies. We establish the complexity of…

Databases · Computer Science 2022-07-20 Lorenzo Marconi , Riccardo Rosati

In keyword search, when user cannot get what she wants, query refinement is needed and reason can be various. We first give a thorough categorization of the reason, then focus on solving one category of query refinement problem in the…

Databases · Computer Science 2012-11-08 Yong Zeng , Zhifeng Bao , Guoliang Li , Tok Wang Ling , Jiaheng Lu

Relational semantics for linear logic is a form of non-idempotent intersection type system, from which several informations on the execution of a proof-structure can be recovered. An element of the relational interpretation of a…

Logic in Computer Science · Computer Science 2016-06-02 Giulio Guerrieri , Luc Pellissier , Lorenzo Tortora de Falco

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

Roughly speaking, a recurrence relation is nested if it contains a subexpression of the form ... A(...A(...)...). Many nested recurrence relations occur in the literature, and determining their behavior seems to be quite difficult and…

Combinatorics · Mathematics 2012-03-06 Marcel Celaya , Frank Ruskey

We study the complexity of predicate logics based on team semantics. We show that the satisfiability problems of two-variable independence logic and inclusion logic are both NEXPTIME-complete. Furthermore, we show that the validity problem…

Logic in Computer Science · Computer Science 2016-06-21 Juha Kontinen , Antti Kuusisto , Jonni Virtema

Regular synchronization languages can be used to define rational relations of finite words, and to characterize subclasses of rational relations, like automatic or recognizable relations. We provide a systematic study of the decidability of…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Christof Löding , Sarah Winter

Text entailment, the task of determining whether a piece of text logically follows from another piece of text, is a key component in NLP, providing input for many semantic applications such as question answering, text summarization,…

Computation and Language · Computer Science 2020-09-29 Vivian S. Silva , André Freitas , Siegfried Handschuh

The notion of a non-deterministic logical matrix (where connectives are interpreted as multi-functions) extends the traditional semantics for propositional logics based on logical matrices (where connectives are interpreted as functions).…

Logic · Mathematics 2024-12-19 Carlos Caleiro , Pedro Filipe , Sérgio Marcelino

The paper describes an extension of well-founded semantics for logic programs with two types of negation. In this extension information about preferences between rules can be expressed in the logical language and derived dynamically. This…

Artificial Intelligence · Computer Science 2008-02-03 G. Brewka

Query containment and query answering are two important computational tasks in databases. While query answering amounts to compute the result of a query over a database, query containment is the problem of checking whether for every…

Databases · Computer Science 2007-05-23 Diego Calvanese , Giuseppe De Giacomo , Maurizio Lenzerini

We solve a well known, long-standing open problem in relational databases theory, showing that the conjunctive query determinacy problem (in its "unrestricted" version) is undecidable.

Databases · Computer Science 2015-12-08 Tomasz Gogacz , Jerzy Marcinkowski

We study the problem of deciding satisfiability of first order logic queries over views, our aim being to delimit the boundary between the decidable and the undecidable fragments of this language. Views currently occupy a central place in…

Logic in Computer Science · Computer Science 2008-12-18 James Bailey , Guozhu Dong , Anthony Widjaja To

We study the fundamental issue of decidability of satisfiability over string logics with concatenations and finite-state transducers as atomic operations. Although restricting to one type of operations yields decidability, little is known…

Logic in Computer Science · Computer Science 2015-11-06 Anthony W. Lin , Pablo Barcelo

The problem is posed to find out for arbitrary nonvoid sets $X$ which are all the mappings $T : X \longrightarrow X$ that can be defined and each separately identified through means of categories alone. As argued, this problem may have a…

General Mathematics · Mathematics 2007-09-05 Elemer E. Rosinger

In this paper we address the decision problem for a fragment of set theory with restricted quantification which extends the language studied in [4] with pair related quantifiers and constructs, in view of possible applications in the field…

Logic in Computer Science · Computer Science 2012-10-10 Domenico Cantone , Cristiano Longo

We show that the model-checking problem is decidable for a fragment of the epistemic \mu-calculus. The fragment allows free variables within the scope of epistemic modalities in a restricted form that avoids constructing formulas embodying…

Logic in Computer Science · Computer Science 2012-07-17 Rodica Bozianu , Cătălin Dima , Constantin Enea

XML is of great importance in information storage and retrieval because of its recent emergence as a standard for data representation and interchange on the Internet. However XML provides little semantic content and as a result several…

Databases · Computer Science 2007-05-23 Millist W. Vincent , Jixue Liu

We explore language semantics for automata combining probabilistic and nondeterministic behavior. We first show that there are precisely two natural semantics for probabilistic automata with nondeterminism. For both choices, we show that…

Formal Languages and Automata Theory · Computer Science 2018-05-30 Gerco van Heerdt , Justin Hsu , Joël Ouaknine , Alexandra Silva

Two distinct semantics have been considered for knowledge in the context of strategic reasoning, depending on whether players know each other's strategy or not. The problem of distributed synthesis for epistemic temporal specifications is…

Logic in Computer Science · Computer Science 2018-09-05 Bastien Maubert , Aniello Murano