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This paper describes an extension to the constraint satisfaction problem (CSP) called MUSE CSP (MUltiply SEgmented Constraint Satisfaction Problem). This extension is especially useful for those problems which segment into multiple sets of…

Artificial Intelligence · Computer Science 2014-11-17 R. A Helzerman , M. P. Harper

Parallel parameterized complexity theory studies how fixed-parameter tractable (fpt) problems can be solved in parallel. Previous theoretical work focused on parallel algorithms that are very fast in principle, but did not take into account…

Data Structures and Algorithms · Computer Science 2019-02-21 Max Bannach , Malte Skambath , Till Tantau

Many operations in workflow systems are dependent on database tables. The classical workflow net and its extensions (e.g., worflow net with data) cannot model these operations so that some related errors cannot be found by them. Recently,…

Logic in Computer Science · Computer Science 2023-07-10 Jian Song , Guanjun Liu

The fixed template Promise Constraint Satisfaction Problem (PCSP) is a recently proposed significant generalization of the fixed template CSP, which includes approximation variants of satisfiability and graph coloring problems. All the…

Computational Complexity · Computer Science 2019-09-12 Libor Barto

Hierarchical Instruction Following (HIF) refers to the problem of prompting large language models with a priority-ordered stack of instructions. Standard methods like RLHF and DPO typically fail in this problem since they mainly optimize…

Machine Learning · Computer Science 2026-03-18 Keru Chen , Jun Luo , Sen Lin , Yingbin Liang , Alvaro Velasquez , Nathaniel Bastian , Shaofeng Zou

Solving problems through tool use under explicit constraints constitutes a highly challenging yet unavoidable scenario for large language models (LLMs), requiring capabilities such as function calling, instruction following, and…

Computation and Language · Computer Science 2026-03-17 Junjie Ye , Guoqiang Zhang , Wenjie Fu , Tao Gui , Qi Zhang , Xuanjing Huang

Context: Today's safety critical systems are increasingly reliant on software. Software becomes responsible for most of the critical functions of systems. Many different safety analysis techniques have been developed to identify hazards of…

Software Engineering · Computer Science 2016-12-02 Asim Abdulkhaleq , Stefan Wagner

A backdoor in a finite-domain CSP instance is a set of variables where each possible instantiation moves the instance into a polynomial-time solvable class. Backdoors have found many applications in artificial intelligence and elsewhere,…

Computational Complexity · Computer Science 2022-11-21 Peter Jonsson , Victor Lagerkvist , Sebastian Ordyniak

Goal-conditioned policies, such as those learned via imitation learning, provide an easy way for humans to influence what tasks robots accomplish. However, these robot policies are not guaranteed to execute safely or to succeed when faced…

Robotics · Computer Science 2025-03-05 Hyun Joe Jeong , Rosy Chen , Andrea Bajcsy

We present a new method for inferring complexity properties for a class of programs in the form of flowcharts annotated with loop information. Specifically, our method can (soundly and completely) decide if computed values are polynomially…

Programming Languages · Computer Science 2016-07-11 Amir M. Ben-Amram , Aviad Pineles

Autonomous web agents solve complex browsing tasks, yet existing benchmarks measure only whether an agent finishes a task, ignoring whether it does so safely or in a way enterprises can trust. To integrate these agents into critical…

Artificial Intelligence · Computer Science 2026-03-03 Ido Levy , Ben Wiesel , Sami Marreed , Alon Oved , Avi Yaeli , Segev Shlomov

In the restricted assignment problem, the input consists of a set of machines and a set of jobs each with a processing time and a subset of eligible machines. The goal is to find an assignment of the jobs to the machines minimizing the…

Computational Complexity · Computer Science 2019-07-09 Marten Maack , Klaus Jansen

The \emph{Sandwich Problem} (SP) for a graph class $\calC$ is the following computational problem. The input is a pair of graphs $(V,E_1)$ and $(V,E_2)$ where $E_1\subseteq E_2$, and the task is to decide whether there is an edge set $E$…

Discrete Mathematics · Computer Science 2025-10-13 Manuel Bodirsky , Santiago Guzmán-Pro

A famous result by Jeavons, Cohen, and Gyssens shows that every constraint satisfaction problem (CSP) where the constraints are preserved by a semi-lattice operation can be solved in polynomial time. This is one of the basic facts for the…

Computational Complexity · Computer Science 2011-11-30 Manuel Bodirsky , Dugald Macpherson , Johan Thapper

We develop a learning-based algorithm for the control of autonomous systems governed by unknown, nonlinear dynamics to satisfy user-specified spatio-temporal tasks expressed as signal temporal logic specifications. Most existing algorithms…

Robotics · Computer Science 2021-10-12 Christos K. Verginis , Zhe Xu , Ufuk Topcu

We study the parameterized problem of satisfying ``almost all'' constraints of a given formula $F$ over a fixed, finite Boolean constraint language $\Gamma$, with or without weights. More precisely, for each finite Boolean constraint…

Computational Complexity · Computer Science 2025-04-23 Eun Jung Kim , Stefan Kratsch , Marcin Pilipczuk , Magnus Wahlström

Many researchers in artificial intelligence are beginning to explore the use of soft constraints to express a set of (possibly conflicting) problem requirements. A soft constraint is a function defined on a collection of variables which…

Artificial Intelligence · Computer Science 2011-07-04 D. Cohen , M. Cooper , P. Jeavons , A. Krokhin

We study a model of constraint satisfaction problems geared towards instances with few variables but with domain of unbounded size (udCSP). Our model is inspired by recent work on FPT algorithms for MinCSP where frequently both upper and…

Data Structures and Algorithms · Computer Science 2025-08-25 Peter Jonsson , Victor Lagerkvist , Jorke M. de Vlas , Magnus Wahlström

The Stochastic Sequential Threshold Assignment Problem (SSTAP) addresses the optimal assignment of arriving tasks (jobs) to available resources (workers) to maximize a reward function which consists of indicator functions that incorporate…

Optimization and Control · Mathematics 2018-05-07 Aristomenis Tsopelakos

The Group Activity Selection Problem (GASP) models situations where a group of agents needs to be distributed to a set of activities while taking into account preferences of the agents w.r.t. individual activities and activity sizes. The…

Data Structures and Algorithms · Computer Science 2018-08-22 Robert Ganian , Sebastian Ordyniak , C. S. Rahul