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In this paper I will show the problems that are encountered when dealing with uniqueness of connectives in a bilateralist setting within the larger framework of proof-theoretic semantics and suggest a solution. Therefore, the logic 2Int is…

Logic in Computer Science · Computer Science 2022-10-04 Sara Ayhan

We previously designed Partial Order Conflict Driven Clause Learning (PO-CDCL), a variation of the satisfiability solving CDCL algorithm with a partial order on decision levels, and showed that it can speed up the solving on problems with a…

Artificial Intelligence · Computer Science 2013-02-01 Anthony Monnet , Roger Villemaire

We present a unified framework for the declarative analysis of structured communications. By relying on a (timed) concurrent constraint programming language, we show that in addition to the usual operational techniques from process calculi,…

Programming Languages · Computer Science 2010-02-05 Hugo A. López , Carlos Olarte , Jorge A. Pérez

The circuit complexity class DLOGTIME-uniform AC^0 is known to be a modest subclass of DLOGTIME-uniform TC^0. The weakness of AC^0 is caused by the fact that AC^0 is not closed under restricting AC^0-computable queries into simple…

Logic in Computer Science · Computer Science 2023-09-14 Lauri Hella , Juha Kontinen , Kerkko Luosto

This paper represents classical propositional proofs as *combinatorial proofs*, which are more abstract than proof nets: superposition (contraction/weakening) is modelled mathematically, as a lax form of fibration, rather than syntactically…

Logic · Mathematics 2007-05-23 Dominic Hughes

We study the problem of rewriting a disjunctive datalog program into plain datalog. We show that a disjunctive program is rewritable if and only if it is equivalent to a linear disjunctive program, thus providing a novel characterisation of…

Artificial Intelligence · Computer Science 2014-04-14 Mark Kaminski , Yavor Nenov , Bernardo Cuenca Grau

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

In a previous paper, a tableau calculus has been presented, which constitute a decision procedure for hybrid logic with the converse and global modalities and a restricted use of the binder. This work extends such a calculus to multi-modal…

Logic in Computer Science · Computer Science 2013-12-11 M. Cialdea Mayer

This paper presents a programming language which includes paradigms that are usually associated with declarative languages, such as sets, rules and search, into an imperative (functional) language. Although these paradigms are separately…

Programming Languages · Computer Science 2007-05-23 Yves Caseau , Francois-Xavier Josset , Francois Laburthe

The monadic shallow linear (MSL) class is a decidable fragment of first-order Horn clauses that was discovered and rediscovered around the turn of the century, with applications in static analysis and verification. We propose a new class of…

Programming Languages · Computer Science 2022-10-27 Jerome Jochems , Eddie Jones , Steven Ramsay

Abductive reasoning aims to find plausible explanations for an event. This style of reasoning is critical for commonsense tasks where there are often multiple plausible explanations. Existing approaches for abductive reasoning in natural…

Computation and Language · Computer Science 2023-05-25 Wenting Zhao , Justin T. Chiu , Claire Cardie , Alexander M. Rush

Saturation-style automated theorem provers (ATPs) based on the given clause procedure are today the strongest general reasoners for classical first-order logic. The clause selection heuristics in such systems are, however, often evaluating…

Logic in Computer Science · Computer Science 2021-07-22 Karel Chvalovský , Jan Jakubův , Miroslav Olšák , Josef Urban

In arXiv: math.LO/0011208 we proposed the {\sl intuitionistic or disjunctive representation of quantum logic}, i.e., a representation of the property lattice of physical systems as a complete Heyting algebra of logical propositions on these…

Logic · Mathematics 2007-05-23 Bob Coecke

Many engineered systems must balance competing objectives, such as performance and safety, cost and reliability, or efficiency and sustainability, and are naturally modeled as compositions of interacting subsystems. We study online…

Optimization and Control · Mathematics 2026-04-27 Meshal Alharbi , Munther A. Dahleh , Gioele Zardini

Most modern formalisms used in Databases and Artificial Intelligence for describing an application domain are based on the notions of class (or concept) and relationship among classes. One interesting feature of such formalisms is the…

Artificial Intelligence · Computer Science 2009-09-25 G. DeGiacomo , M. Lenzerini

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

In variable selection, a selection rule that prescribes the permissible sets of selected variables (called a "selection dictionary") is desirable due to the inherent structural constraints among the candidate variables. Such selection rules…

Methodology · Statistics 2024-01-17 Guanbo Wang , Mireille E. Schnitzer , Tom Chen , Rui Wang , Robert W. Platt

Accurately learning from user data while ensuring quantifiable privacy guarantees provides an opportunity to build better Machine Learning (ML) models while maintaining user trust. Recent literature has demonstrated the applicability of a…

Machine Learning · Computer Science 2020-12-11 Oluwaseyi Feyisetan , Abhinav Aggarwal , Zekun Xu , Nathanael Teissier

We study existence, uniqueness and computability of solutions for a class of discrete time recursive utilities models. By combining two streams of the recent literature on recursive preferences---one that analyzes principal eigenvalues of…

Economics · Quantitative Finance 2019-04-24 Jaroslav Borovicka , John Stachurski

The standard HPSG analysis of Germanic verb clusters can not explain the observed narrow-scope readings of adjuncts in such verb clusters. We present an extension of the HPSG analysis that accounts for the systematic ambiguity of the scope…

cmp-lg · Computer Science 2008-02-03 Gertjan van Noord , Gosse Bouma
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