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Generalized planning studies the computation of general solutions for a set of planning problems. Computing general solutions with correctness guarantee has long been a key issue in generalized planning. Abstractions are widely used to…

Artificial Intelligence · Computer Science 2022-05-25 Zhenhe Cui , Weidu Kuang , Yongmei Liu

Generalized planning is about finding plans that solve collections of planning instances, often infinite collections, rather than single instances. Recently it has been shown how to reduce the planning problem for generalized planning to…

Artificial Intelligence · Computer Science 2019-06-03 Blai Bonet , Raquel Fuentetaja , Yolanda E-Martin , Daniel Borrajo

Generalized planning is concerned with the computation of general policies that solve multiple instances of a planning domain all at once. It has been recently shown that these policies can be computed in two steps: first, a suitable…

Artificial Intelligence · Computer Science 2021-02-19 Guillem Francès , Blai Bonet , Hector Geffner

This paper provides a formal and practical framework for sound abstraction of probabilistic actions. We start by precisely defining the concept of sound abstraction within the context of finite-horizon planning (where each plan is a finite…

Artificial Intelligence · Computer Science 2013-02-18 AnHai Doan , Peter Haddawy

Abstraction is an important and useful concept in the field of artificial intelligence. To the best of our knowledge, there is no syntactic method to compute a sound and complete abstraction from a given low-level basic action theory and a…

Logic in Computer Science · Computer Science 2025-01-14 Liangda Fang , Xiaoman Wang , Zhang Chen , Kailun Luo , Zhenhe Cui , Quanlong Guan

Qualitative numerical planning is classical planning extended with non-negative real variables that can be increased or decreased "qualitatively", i.e., by positive indeterminate amounts. While deterministic planning with numerical…

Artificial Intelligence · Computer Science 2020-11-30 Blai Bonet , Hector Geffner

ion is one of the most promising approaches to improve the performance of problem solvers. In several domains abstraction by dropping sentences of a domain description -- as used in most hierarchical planners -- has proven useful. In this…

Artificial Intelligence · Computer Science 2009-09-25 R. Bergmann , W. Wilke

Abstraction is a well-known approach to simplify a complex problem by over-approximating it with a deliberate loss of information. It was not considered so far in Answer Set Programming (ASP), a convenient tool for problem solving. We…

Logic in Computer Science · Computer Science 2021-07-01 Zeynep G. Saribatur , Thomas Eiter

We study the characterization and computation of general policies for families of problems that share a structure characterized by a common reduction into a single abstract problem. Policies $\mu$ that solve the abstract problem P have been…

Artificial Intelligence · Computer Science 2019-09-27 Blai Bonet , Giuseppe De Giacomo , Hector Geffner , Sasha Rubin

Generalized planning is concerned with the computation of plans that solve not one but multiple instances of a planning domain. Recently, it has been shown that generalized plans can be expressed as mappings of feature values into actions,…

Artificial Intelligence · Computer Science 2018-11-20 Blai Bonet , Guillem Francès , Hector Geffner

The technique of abstracting abstract machines (AAM) provides a systematic approach for deriving computable approximations of evaluators that are easily proved sound. This article contributes a complementary step-by-step process for…

Programming Languages · Computer Science 2013-07-25 J. Ian Johnson , Nicholas Labich , Matthew Might , David Van Horn

Abstraction is a commonly used process to represent some low-level system by a more coarse specification with the goal to omit unnecessary details while preserving important aspects. While recent work on abstraction in the situation…

Artificial Intelligence · Computer Science 2023-03-02 Till Hofmann , Vaishak Belle

Rapid progress has been made towards question answering (QA) systems that can extract answers from text. Existing neural approaches make use of expensive bi-directional attention mechanisms or score all possible answer spans, limiting…

Computation and Language · Computer Science 2017-09-12 Jonathan Raiman , John Miller

Abstraction is one of the most important strategies for dealing with the state space explosion problem in model checking. In the abstract model, although the state space is largely reduced, however, a counterexample found in such a model…

Logic in Computer Science · Computer Science 2010-07-27 Cong Tian , Zhenhua Duan

In this paper, we propose an incremental abstraction method for dynamically over-approximating nonlinear systems in a bounded domain by solving a sequence of linear programs, resulting in a sequence of affine upper and lower hyperplanes…

Optimization and Control · Mathematics 2020-04-06 Syed M. Hassaan , Mohammad Khajenejad , Spencer Jensen , Qiang Shen , Sze Zheng Yong

This paper investigates the problem of efficient constrained global optimization of hybrid models that are a composition of a known white-box function and an expensive multi-output black-box function subject to noisy observations, which…

Machine Learning · Statistics 2023-07-31 Congwen Lu , Joel A. Paulson

The Abstraction and Reasoning Corpus (ARC) is a general artificial intelligence benchmark that poses difficulties for pure machine learning methods due to its requirement for fluid intelligence with a focus on reasoning and abstraction. In…

Artificial Intelligence · Computer Science 2024-01-17 Chao Lei , Nir Lipovetzky , Krista A. Ehinger

In this paper, we develop a framework for path-planning on abstractions that are not provided to the agent a priori but instead emerge as a function of the available computational resources. We show how a path-planning problem in an…

Robotics · Computer Science 2021-07-29 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

Multi-robot path planning is difficult due to the combinatorial explosion of the search space with every new robot added. Complete search of the combined state-space soon becomes intractable. In this paper we present a novel form of…

Artificial Intelligence · Computer Science 2011-11-02 Malcolm Ross Kinsella Ryan
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