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It is well known that most of the common clustering objectives are NP-hard to optimize. In practice, however, clustering is being routinely carried out. One approach for providing theoretical understanding of this seeming discrepancy is to…

Machine Learning · Statistics 2015-10-20 Shai Ben-David

For a graph $H$, the $H$-free Edge Deletion problem asks whether there exist at most $k$ edges whose deletion from the input graph $G$ results in a graph without any induced copy of $H$. $H$-free Edge Completion and $H$-free Edge Editing…

Data Structures and Algorithms · Computer Science 2015-09-30 N. R. Aravind , R. B. Sandeep , Naveen Sivadasan

Answer set programming (ASP) is an efficient problem-solving approach, which has been strongly supported both scientifically and technologically by several solvers, ongoing active research, and implementations in many different fields.…

Artificial Intelligence · Computer Science 2021-09-20 Ezgi Iraz Su

Nfer is a Runtime Verification language for the analysis of event traces that applies rules to create hierarchies of time intervals. This work examines the complexity of the evaluation and satisfiability problems for the data-free fragment…

Logic in Computer Science · Computer Science 2025-09-03 Sean Kauffman , Kim Guldstrand Larsen , Martin Zimmermann

For any finite set $\mathcal{H} = \{H_1,\ldots,H_p\}$ of graphs, a graph is $\mathcal{H}$-subgraph-free if it does not contain any of $H_1,\ldots,H_p$ as a subgraph. In recent work, meta-classifications have been studied: these show that if…

Data Structures and Algorithms · Computer Science 2023-05-03 Matthew Johnson , Barnaby Martin , Sukanya Pandey , Daniël Paulusma , Siani Smith , Erik Jan van Leeuwen

The model of asynchronous programming arises in many contexts, from low-level systems software to high-level web programming. We take a language-theoretic perspective and show general decidability and undecidability results for asynchronous…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Rupak Majumdar , Ramanathan S. Thinniyam , Georg Zetzsche

Recent research in extensions of Answer Set Programming has included a renewed interest in the language of Epistemic Specifications, which adds modal operators K ("known") and M ("may be true") to provide for more powerful introspective…

Artificial Intelligence · Computer Science 2018-09-20 Anthony P. Leclerc , Patrick Thor Kahl

We convert, within polynomial-time and sequential processing, NP-Complete Problems into a problem of deciding feasibility of a given system S of linear equations with constants and coefficients of binary-variables that are 0, 1, or -1. S is…

Computational Complexity · Computer Science 2012-10-23 Deepak Ponvel Chermakani

To enable the study of open sets in computational approaches to mathematics, lots of extra data and structure on these sets is assumed. For both foundational and mathematical reasons, it is then a natural question, and the subject of this…

Logic · Mathematics 2020-10-02 Dag Normann , Sam Sanders

The introductory programming sequence has been the focus of much research in computing education. The recent advent of several viable and freely-available AI-driven code generation tools present several immediate opportunities and…

Human-Computer Interaction · Computer Science 2022-12-05 Brett A. Becker , Paul Denny , James Finnie-Ansley , Andrew Luxton-Reilly , James Prather , Eddie Antonio Santos

Algorithmic thinking is a central concept in the context of computational thinking, and it is commonly taught by computer programming. A recent trend is to introduce basic programming concepts already very early on at primary school level.…

Computers and Society · Computer Science 2021-08-17 Nina Körber , Lisa Bailey , Luisa Greifenstein , Gordon Fraser , Barbara Sabitzer , Marina Rottenhofer

The abundance of publicly available source code repositories, in conjunction with the advances in neural networks, has enabled data-driven approaches to program analysis. These approaches, called neural program analyzers, use neural…

Software Engineering · Computer Science 2022-07-12 Md Rafiqul Islam Rabin , Mohammad Amin Alipour

We present the concept of the \emph{information efficiency of functions} as a technique to understand the interaction between information and computation. Based on these results we identify a new class of objects that we call…

Computational Complexity · Computer Science 2019-04-09 P. W. Adriaans

The application of methods of computational algebra has recently introduced new tools for the study of Hilbert schemes. The key idea is to define flat families of ideals endowed with a scheme structure whose defining equations can be…

Algebraic Geometry · Mathematics 2016-03-15 Paolo Lella , Margherita Roggero

Answer set programming - the most popular problem solving paradigm based on logic programs - has been recently extended to support uninterpreted function symbols. All of these approaches have some limitation. In this paper we propose a…

Artificial Intelligence · Computer Science 2010-07-22 Sabrina Baselice , Piero A. Bonatti

A growing body of research in continual learning focuses on the catastrophic forgetting problem. While many attempts have been made to alleviate this problem, the majority of the methods assume a single model in the continual learning…

Machine Learning · Computer Science 2023-07-06 Thang Doan , Seyed Iman Mirzadeh , Mehrdad Farajtabar

Reducing the cognitive complexity of a piece of code to a given threshold is not trivial. Recently, we modeled software cognitive complexity reduction as an optimization problem and we proposed an approach to assist developers on this task.…

Software Engineering · Computer Science 2024-02-09 Rubén Saborido , Javier Ferrer , Francisco Chicano

In constraint programming and related paradigms, a modeller specifies their problem in a modelling language for a solver to search and return its solution(s). Using high-level modelling languages such as Essence, a modeller may express…

Artificial Intelligence · Computer Science 2025-11-17 Özgür Akgün , Mun See Chang , Ian P. Gent , Christopher Jefferson

Geometric embedding of graphs in a point set in the plane is a well known problem. In this paper, the complexity of a variant of this problem, where the point set is bounded by a simple polygon, is considered. Given a point set in the plane…

Computational Geometry · Computer Science 2009-08-28 Alireza Bagheri , Mohammadreza Razzazi

The term {\em meta-programming} refers to the ability of writing programs that have other programs as data and exploit their semantics. The aim of this paper is presenting a methodology allowing us to perform a correct termination analysis…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye
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