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First order formulas in a relational signature can be considered as operations on the relations of an underlying set, giving rise to multisorted algebras we call first order algebras. We present universal axioms so that an algebra satisfies…

Logic · Mathematics 2015-08-03 Lawrence Valby

Standard models for syntactic dependency parsing take words to be the elementary units that enter into dependency relations. In this paper, we investigate whether there are any benefits from enriching these models with the more abstract…

Computation and Language · Computer Science 2021-02-01 Ali Basirat , Joakim Nivre

This paper studies how violations of structural assumptions like expected utility and exponential discounting can be connected to basic rationality violations, even though these assumptions are typically regarded as independent building…

Theoretical Economics · Economics 2024-02-20 Xi Zhi Lim

A central computational task in database theory, finite model theory, and computer science at large is the evaluation of a first-order sentence on a finite structure. In the context of this task, the \emph{width} of a sentence, defined as…

Logic in Computer Science · Computer Science 2026-04-22 Hubie Chen , Stefan Mengel

Different attribution scores have been proposed to quantify the relevance of database tuples for query answering in databases; e.g. Causal Responsibility, the Shapley Value, the Banzhaf Power-Index, and the Causal Effect. They have been…

Databases · Computer Science 2026-04-07 Felipe Azua , Leopoldo Bertossi

We present here a formal foundation for an iterative and incremental approach to constructing and evaluating preference queries. Our main focus is on query modification: a query transformation approach which works by revising the preference…

Databases · Computer Science 2007-05-23 Jan Chomicki

We investigate the effect of various dependency-based word embeddings on distinguishing between functional and domain similarity, word similarity rankings, and two downstream tasks in English. Variations include word embeddings trained…

Computation and Language · Computer Science 2018-04-18 Sean MacAvaney , Amir Zeldes

Some theories on data flow security are based on order-theoretical concepts, most commonly on lattice concepts. This paper presents a correspondence between security concepts and partial order concepts, by which the former become an…

Cryptography and Security · Computer Science 2024-03-13 Luigi Logrippo

We generalize the notion of consequence relation standard in abstract treatments of logic to accommodate intuitions of relevance. The guiding idea follows the \emph{use criterion}, according to which in order for some premises to have some…

Logic · Mathematics 2024-11-20 Guillermo Badia , Petr Cintula , Libor Behounek , Andrew Tedder

Induction in saturation-based first-order theorem proving is a new exciting direction in the automation of inductive reasoning. In this paper we survey our work on integrating induction directly into the saturation-based proof search…

Logic in Computer Science · Computer Science 2024-03-01 Márton Hajdu , Petra Hozzová , Laura Kovács , Giles Reger , Andrei Voronkov

Tableaux originate as a decision method for a logical language. They can also be extended to obtain a structure that spells out all the information in a set of sentences in terms of truth value assignments to atomic formulas that appear in…

cmp-lg · Computer Science 2008-02-03 Pablo Gervas

In this paper, we propose an abstract definition of dependent type theories as essentially algebraic theories. One of the main advantages of this definition is its composability: simple theories can be combined into more complex ones, and…

Logic · Mathematics 2017-03-28 Valery Isaev

This paper presents and analyzes an approach to cluster-based inference for dependent data. The primary setting considered here is with spatially indexed data in which the dependence structure of observed random variables is characterized…

Statistics Theory · Mathematics 2022-11-16 Jianfei Cao , Christian Hansen , Damian Kozbur , Lucciano Villacorta

Consider a predictor who ranks eventualities on the basis of past cases: for instance a search engine ranking webpages given past searches. Resampling past cases leads to different rankings and the extraction of deeper information. Yet a…

Theoretical Economics · Economics 2021-03-04 Patrick H. O'Callaghan

Tables are common and important in scientific documents, yet most text-based document search systems do not capture structures and semantics specific to tables. How to bridge different types of mismatch between keywords queries and…

Information Retrieval · Computer Science 2017-07-13 Kyle Yingkai Gao , Jamie Callan

This paper proposes new derivations of three well-known sorting algorithms, in their functional formulation. The approach we use is based on three main ingredients: first, the algorithms are derived from a simpler algorithm, i.e. the…

Data Structures and Algorithms · Computer Science 2008-02-27 José Bacelar Almeida , Jorge Sousa Pinto

This paper presents a simple decidable logic of functional dependence LFD, based on an extension of classical propositional logic with dependence atoms plus dependence quantifiers treated as modalities, within the setting of generalized…

Logic in Computer Science · Computer Science 2021-03-30 Alexandru Baltag , Johan van Benthem

Sequential recommender systems are an important and demanded area of research. Such systems aim to use the order of interactions in a user's history to predict future interactions. The premise is that the order of interactions and…

Information Retrieval · Computer Science 2024-08-23 Anton Klenitskiy , Anna Volodkevich , Anton Pembek , Alexey Vasilev

We propose a novel framework to facilitate the on-demand design of data-centric systems by exploiting domain knowledge from an existing ontology. Its key ingredient is a process that we call focusing, which allows to obtain a schema for a…

Logic in Computer Science · Computer Science 2019-04-02 Tomasz Gogacz , Víctor Gutiérrez-Basulto , Yazmín A. Ibáñez-García , Filip Murlak , Magdalena Ortiz , Mantas Šimkus

Ontology-based data access (OBDA) is a popular paradigm for querying heterogeneous data sources by connecting them through mappings to an ontology. In OBDA, it is often difficult to reconstruct why a tuple occurs in the answer of a query.…

Databases · Computer Science 2019-06-04 Diego Calvanese , Davide Lanti , Ana Ozaki , Rafael Penaloza , Guohui Xiao