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Abstraction is a powerful idea widely used in science, to model, reason and explain the behavior of systems in a more tractable search space, by omitting irrelevant details. While notions of abstraction have matured for deterministic…

Artificial Intelligence · Computer Science 2020-01-14 Vaishak Belle

Compositionality is a key property for dealing with complexity, which has been studied from many points of view in diverse fields. Particularly, the composition of individual computations (or programs) has been widely studied almost since…

Logic in Computer Science · Computer Science 2022-06-06 Damian Arellanes

The word "complexity" is most often used as a meta--linguistic expression referring to certain intuitive characteristics of a natural system and/or its scientific description. These characteristics may include: sheer amount of data that…

History and Overview · Mathematics 2013-01-03 Yuri I. Manin

We present a comprehensive programme analysing the decomposition of proof systems for non-classical logics into proof systems for other logics, especially classical logic, using an algebra of constraints. That is, one recovers a proof…

Logic in Computer Science · Computer Science 2023-10-20 Alexander V. Gheorghiu , David J. Pym

In real-world applications, knowledge bases consisting of all the information at hand for a specific domain, along with the current state of affairs, are bound to contain contradictory data coming from different sources, as well as data…

Logic in Computer Science · Computer Science 2014-01-08 Paulo Shakarian , Gerardo I. Simari , Marcelo A. Falappa

Reasoning about complex networks has in recent years become an important topic of study due to its many applications: the adoption of commercial products, spread of disease, the diffusion of an idea, etc. In this paper, we present the…

Artificial Intelligence · Computer Science 2022-10-03 Paulo Shakarian , Gerardo I. Simari , Devon Callahan

Link prediction in graphs is an important task in the fields of network science and machine learning. We investigate a flexible means of regularization for link prediction based on an approximation of the Kolmogorov complexity of graphs…

Machine Learning · Computer Science 2021-02-24 Paris D. L. Flood , Ramon Viñas , Pietro Liò

The computational burden of probabilistic inference remains a hurdle for applying probabilistic programming languages to practical problems of interest. In this work, we provide a semantic and algorithmic foundation for efficient exact…

Programming Languages · Computer Science 2019-07-02 Steven Holtzen , Todd Millstein , Guy Van den Broeck

Possibilistic logic programs (poss-programs) under stable models are a major variant of answer set programming (ASP). While its semantics (possibilistic stable models) and properties have been well investigated, the problem of inductive…

Artificial Intelligence · Computer Science 2026-01-14 Hongbo Hu , Yisong Wang , Yi Huang , Kewen Wang

ECLAIR is a Prolog-based prototype system aiming to provide a functionally complete environment for the study, development and evaluation of programming language analysis and implementation tools. In this paper, we sketch the overall…

Programming Languages · Computer Science 2007-11-06 Roberto Bagnara , Patricia Hill , Enea Zaffanella

A key feature of inductive logic programming (ILP) is its ability to learn first-order programs, which are intrinsically more expressive than propositional programs. In this paper, we introduce techniques to learn higher-order programs.…

Machine Learning · Computer Science 2019-07-26 Andrew Cropper , Rolf Morel , Stephen H. Muggleton

Many logic programming based approaches can be used to describe and solve combinatorial search problems. On the one hand there is constraint logic programming which computes a solution as an answer substitution to a query containing the…

Artificial Intelligence · Computer Science 2007-05-23 Nikolay Pelov , Emmanuel De Mot , Marc Denecker

The programming language Prolog makes declarative programming possible, at least to a substantial extent. Programs may be written and reasoned about in terms of their declarative semantics. All the advantages of declarative programming are…

Logic in Computer Science · Computer Science 2023-08-31 Włodzimierz Drabent

Making a Prolog program more efficient by transforming its source code, without changing its operational semantics, is not an obvious task. It requires the user to have a clear understanding of how the Prolog compiler works, and in…

Programming Languages · Computer Science 2007-11-01 Francois Gobert , Baudouin Le Charlier

Software Engineering and the implementation of software has become a challenging task as many tools, frameworks and languages must be orchestrated into one functioning piece. This complexity increases the need for testing and analysis…

Software Engineering · Computer Science 2018-06-27 Hannes Thaller

Probabilistic programming languages and modeling toolkits are two modular ways to build and reuse stochastic models and inference procedures. Combining strengths of both, we express models and inference as generalized coroutines in the same…

Programming Languages · Computer Science 2012-05-14 Oleg Kiselyov , Chung-chieh Shan

Logic can be made useful for programming and for databases independently of logic programming. To be useful in this way, logic has to provide a mechanism for the definition of new functions and new relations on the basis of those given in…

Logic in Computer Science · Computer Science 2014-12-30 M. H. van Emden

Abduction is one of the most important forms of reasoning; it has been successfully applied to several practical problems such as diagnosis. In this paper we investigate whether the computational complexity of abduction can be reduced by an…

Artificial Intelligence · Computer Science 2007-07-25 Paolo Liberatore , Marco Schaerf

Temporal logics over finite traces have recently seen wide application in a number of areas, from business process modelling, monitoring, and mining to planning and decision making. However, real-life dynamic systems contain a degree of…

Logic in Computer Science · Computer Science 2019-11-19 Fabrizio M. Maggi , Marco Montali , Rafael Peñaloza

Intelligent systems sometimes need to infer the probable goals of people, cars, and robots, based on partial observations of their motion. This paper introduces a class of probabilistic programs for formulating and solving these problems.…

Artificial Intelligence · Computer Science 2017-04-19 Marco F. Cusumano-Towner , Alexey Radul , David Wingate , Vikash K. Mansinghka