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First-order learning involves finding a clause-form definition of a relation from examples of the relation and relevant background information. In this paper, a particular first-order learning system is modified to customize it for finding…

Artificial Intelligence · Computer Science 2014-11-17 J. R. Quinlan

A prominent approach to implementing ontology-mediated queries (OMQs) is to rewrite into a first-order query, which is then executed using a conventional SQL database system. We consider the case where the ontology is formulated in the…

Artificial Intelligence · Computer Science 2018-04-20 Peter Hansen , Carsten Lutz

This paper explores the idea of using defunctionalization as a proof technique for higher-order programs. Defunctionalization builds on substituting functional values by a first-order representation. Thus, its interest is that one can use…

Logic in Computer Science · Computer Science 2019-05-22 Mário Pereira

We lay the foundations for a database-inspired approach to interpreting and understanding neural network models by querying them using declarative languages. Towards this end we study different query languages, based on first-order logic,…

Artificial Intelligence · Computer Science 2024-08-22 Martin Grohe , Christoph Standke , Juno Steegmans , Jan Van den Bussche

In the current paper, we propose to fuse together stored data (tables) and their functional dependencies (FDs) inside a DBMS. We aim to make FDs first-class citizens: objects which can be queried and used to query data. Our idea is to allow…

Databases · Computer Science 2020-05-19 Nikita Bobrov , Kirill Smirnov , George Chernishev

We provide a denotational semantics for first-order logic that captures the two-level view of the computation process typical for constraint programming. At one level we have the usual program execution. At the other level an automatic…

Logic in Computer Science · Computer Science 2007-05-23 K. R. Apt , C. F. M. Vermeulen

Consistent answers to a query from a possibly inconsistent database are answers that are simultaneously retrieved from every possible repair of the database. Repairs are consistent instances that minimally differ from the original…

Databases · Computer Science 2021-10-20 Leopoldo Bertossi

We consider machine learning models, learned from data, to be an important, intensional, kind of data in themselves. As such, various analysis tasks on models can be thought of as queries over this intensional data, often combined with…

Databases · Computer Science 2025-02-21 Mark Gerarts , Juno Steegmans , Jan Van den Bussche

To answer database queries over incomplete data the gold standard is finding certain answers: those that are true regardless of how incomplete data is interpreted. Such answers can be found efficiently for conjunctive queries and their…

Databases · Computer Science 2023-10-20 Amélie Gheerbrant , Leonid Libkin , Alexandra Rogova , Cristina Sirangelo

We consider the evaluation of first-order queries over classes of databases with bounded expansion. The notion of bounded expansion is fairly broad and generalizes bounded degree, bounded treewidth and exclusion of at least one minor. It…

Databases · Computer Science 2023-06-22 Wojtek Kazana , Luc Segoufin

We describe an approach to modelling and reasoning about data-centric business processes and present a form of general model checking. Our technique extends existing approaches, which explore systems only from concrete initial states.…

Logic in Computer Science · Computer Science 2012-07-12 Andreas Bauer , Peter Baumgartner , Michael Norrish

Functionals are an important research subject in Mathematics and Computer Science as well as a challenge in Information Technologies where the current programming paradigm states that only symbolic computations are possible on higher order…

Logic · Mathematics 2018-09-13 Stanislaw Ambroszkiewicz

We describe a new logical data model, called the concept-oriented model (COM). It uses mathematical functions as first-class constructs for data representation and data processing as opposed to using exclusively sets in conventional…

Databases · Computer Science 2019-11-19 Alexandr Savinov

Higher-order logic programming is an interesting extension of traditional logic programming that allows predicates to appear as arguments and variables to be used where predicates typically occur. Higher-order characteristics are indeed…

Programming Languages · Computer Science 2018-12-04 Antonis Troumpoukis , Angelos Charalambidis

We define two classes of functions, called regular (respectively, first-order) list functions, which manipulate objects such as lists, lists of lists, pairs of lists, lists of pairs of lists, etc. The definition is in the style of regular…

Formal Languages and Automata Theory · Computer Science 2018-03-19 Mikolaj Bojanczyk , Laure Daviaud , Krishna Shankara Narayanan

The logic of information flows (LIF) has recently been proposed as a general framework in the field of knowledge representation. In this framework, tasks of procedural nature can still be modeled in a declarative, logic-based fashion. In…

Logic in Computer Science · Computer Science 2024-08-07 Heba Aamer , Bart Bogaerts , Dimitri Surinx , Eugenia Ternovska , Jan Van den Bussche

We consider the evaluation of first-order queries over classes of databases that have bounded degree and low degree. More precisely, given a query and a database, we want to efficiently test whether there is a solution, count how many…

Logic in Computer Science · Computer Science 2020-10-08 Alexandre Vigny

Formulating efficient SQL queries requires several cycles of tuning and execution, particularly for inexperienced users. We examine methods that can accelerate and improve this interaction by providing insights about SQL queries prior to…

Databases · Computer Science 2020-02-24 Zainab Zolaktaf , Mostafa Milani , Rachel Pottinger

Compared to functions in mathematics, functions in programming languages seem to be under classified. Functional programming languages based on the lambda calculus famously treat functions as first-class values. Object-oriented languages…

Programming Languages · Computer Science 2025-07-02 Lloyd Allison

Parameterization extends higher-order processes with the capability of abstraction and application (like those in lambda-calculus). This extension is strict, i.e., higher-order processes equipped with parameterization is computationally…

Logic in Computer Science · Computer Science 2016-08-11 Xian Xu
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