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Tabling is a powerful resolution mechanism for logic programs that captures their least fixed point semantics more faithfully than plain Prolog. In many tabling applications, we are not interested in the set of all answers to a goal, but…

Programming Languages · Computer Science 2016-08-03 Alexander Vandenbroucke , Maciej Piróg , Benoit Desouter , Tom Schrijvers

Linear Temporal Logic (LTL) is the standard specification language for reactive systems and is successfully applied in industrial settings. However, many shortcomings of LTL have been identified in the literature, among them the limited…

Logic in Computer Science · Computer Science 2019-09-19 Daniel Neider , Alexander Weinert , Martin Zimmermann

With the rapid popularization of big data, the dichotomy between tractable and intractable problems in big data computing has been shifted. Sublinear time, rather than polynomial time, has recently been regarded as the new standard of…

Computational Complexity · Computer Science 2021-12-01 Xiangyu Gao , Jianzhong Li , Dongjing Miao

The past years have seen widening efforts at increasing Prolog's declarativeness and expressiveness. Tabling has proved to be a viable technique to efficiently overcome SLD's susceptibility to infinite loops and redundant subcomputations.…

Programming Languages · Computer Science 2007-05-23 Ricardo Rocha , Fernando Silva , Vitor Santos Costa

In the past years, analyzers have been introduced to detect classes of non-terminating queries for definite logic programs. Although these non-termination analyzers have shown to be rather precise, their applicability on real-life Prolog…

Programming Languages · Computer Science 2011-09-16 Dean Voets , Danny De Schreye

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

In this paper, we propose a novel one-pass and tree-shaped tableau method for Timed Propositional Temporal Logic and for a bounded variant of its extension with past operators. Timed Propositional Temporal Logic (TPTL) is a real-time…

Logic in Computer Science · Computer Science 2018-09-11 Luca Geatti , Nicola Gigante , Angelo Montanari , Mark Reynolds

Tabled logic programming is receiving increasing attention in the Logic Programming community. It avoids many of the shortcomings of SLD execution and provides a more flexible and often extremely efficient execution mechanism for logic…

Logic in Computer Science · Computer Science 2007-05-23 Sofie Verbaeten , Danny De Schreye , Konstantinos Sagonas

Robotic planning in real-world scenarios typically requires joint optimization of logic and continuous variables. A core challenge to combine the strengths of logic planners and continuous solvers is the design of an efficient interface…

Robotics · Computer Science 2022-11-29 Joaquim Ortiz-Haro , Erez Karpas , Michael Katz , Marc Toussaint

We present the stellar resolution, a "flexible" tile system based on Robinson's first-order resolution. After establishing formal definitions and basic properties of the stellar resolution, we show its Turing-completeness and to illustrate…

Logic in Computer Science · Computer Science 2022-07-19 Boris Eng , Thomas Seiller

Structural resolution (or S-resolution) is a newly proposed alternative to SLD-resolution that allows a systematic separation of derivations into term-matching and unification steps. Productive logic programs are those for which…

Logic in Computer Science · Computer Science 2015-06-23 Peng Fu , Ekaterina Komendantskaya

Delimited control is a powerful mechanism for programming language extension which has been recently proposed for Prolog (and implemented in SWI-Prolog). By manipulating the control flow of a program from inside the language, it enables the…

Programming Languages · Computer Science 2023-03-08 Alexander Vandenbroucke , Tom Schrijvers

Tensor program tuning is a non-convex objective optimization problem, to which search-based approaches have proven to be effective. At the core of the search-based approaches lies the design of the cost model. Though deep learning-based…

Machine Learning · Computer Science 2022-11-23 Yi Zhai , Yu Zhang , Shuo Liu , Xiaomeng Chu , Jie Peng , Jianmin Ji , Yanyong Zhang

Online linear programming (OLP) has gained significant attention from both researchers and practitioners due to its extensive applications, such as online auction, network revenue management, order fulfillment and advertising. Existing OLP…

Data Structures and Algorithms · Computer Science 2025-11-18 Guokai Li , Zizhuo Wang , Jingwei Zhang

Due to the limitation on computational power of existing computers, the polynomial time does not works for identifying the tractable problems in big data computing. This paper adopts the sublinear time as the new tractable standard to…

Computational Complexity · Computer Science 2019-12-06 Xiangyu Gao , Jianzhong Li , Dongjing Miao , Xianmin Liu

Nomadic applications create replicas of shared objects that evolve independently while they are disconnected. When reconnecting, the system has to reconcile the divergent replicas. In the log-based approach to reconciliation, such as in the…

Programming Languages · Computer Science 2007-05-23 Francois Fages

Linear-constraint loops are programs whose transition relation is specified by a system of linear inequalities. The termination problem asks, given a loop, whether it admits an infinite computation. Decidability of termination remains open…

Logic in Computer Science · Computer Science 2026-05-15 Mishel Carelli

Conic optimization has recently emerged as a powerful tool for designing tractable and guaranteed algorithms for non-convex polynomial optimization problems. On the one hand, tractability is crucial for efficiently solving large-scale…

Delimited control is a powerful mechanism for programming language extension which has been recently proposed for Prolog (and implemented in SWI-Prolog). By manipulating the control flow of a program from inside the language, it enables the…

Programming Languages · Computer Science 2021-08-21 Alexander Vandenbroucke , Tom Schrijvers

Tabling in logic programming has been used to eliminate redundant computation and also to stop infinite loop. In this paper we investigate another possibility of tabling, i.e. to compute an infinite sum of probabilities for probabilistic…

Programming Languages · Computer Science 2020-02-19 Taisuke Sato , Philipp Meyer