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We present a new approach to example-guided program synthesis based on counterexample-guided abstraction refinement. Our method uses the abstract semantics of the underlying DSL to find a program $P$ whose abstract behavior satisfies the…

Programming Languages · Computer Science 2017-10-24 Xinyu Wang , Isil Dillig , Rishabh Singh

This article is concerned with a data-driven divide-and-conquer strategy to construct symbolic abstractions for interconnected control networks with unknown mathematical models. We employ a notion of alternating bisimulation functions (ABF)…

Systems and Control · Electrical Eng. & Systems 2023-09-15 Abolfazl Lavaei

As control systems grow in complexity, abstraction-based methods have become essential for designing controllers with formal guarantees. However, a key limitation of these methods is their reliance on discrete-time models, typically…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Adrien Janssens , Adrien Banse , Julien Calbert , Raphaël M. Jungers

In this work, we continue our study on discrete abstractions of dynamical systems. To this end, we use a family of partitioning functions to generate an abstraction. The intersection of sub-level sets of the partitioning functions defines…

Systems and Control · Computer Science 2013-08-27 Rafael Wisniewski , Christoffer Sloth

Given a Kripke structure M and CTL formula $\varphi$, where M does not satisfy $\varphi$, the problem of Model Repair is to obtain a new model M' such that M' satisfies $\varphi$. Moreover, the changes made to M to derive M' should be…

Logic in Computer Science · Computer Science 2017-01-11 George Chatzieleftheriou , Borzoo Bonakdarpour , Panagiotis Katsaros , Scott A. Smolka

In this paper we revisit the well-known technique of predicate abstraction to characterise performance attributes of system models incorporating probability. We recast the theory using expectation transformers, and identify transformer…

Logic in Computer Science · Computer Science 2010-06-29 Ukachukwu Ndukwu , Annabelle McIver

This paper studies formal synthesis of controllers for continuous-space systems with unknown dynamics to satisfy requirements expressed as linear temporal logic formulas. Formal abstraction-based synthesis schemes rely on a precise…

Systems and Control · Electrical Eng. & Systems 2022-06-17 Milad Kazemi , Rupak Majumdar , Mahmoud Salamati , Sadegh Soudjani , Ben Wooding

Software model checkers based on under-approximations and SMT solvers are very successful at verifying safety (i.e. reachability) properties. They combine two key ideas -- (a) "concreteness": a counterexample in an under-approximation is a…

Logic in Computer Science · Computer Science 2013-06-11 Anvesh Komuravelli , Arie Gurfinkel , Sagar Chaki , Edmund M. Clarke

We consider the problem of automatically synthesizing a hybrid controller for non-linear dynamical systems which ensures that the closed-loop fulfills an arbitrary \emph{Linear Temporal Logic} specification. Moreover, the specification may…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Satya Prakash Nayak , Lucas Neves Egidio , Matteo Della Rossa , Anne-Kathrin Schmuck , Raphaël Jungers

Tasks such as social network analysis, human behavior recognition, or modeling biochemical reactions, can be solved elegantly by using the probabilistic inference framework. However, standard probabilistic inference algorithms work at a…

Artificial Intelligence · Computer Science 2018-12-11 Stefan Lüdtke , Max Schröder , Frank Krüger , Sebastian Bader , Thomas Kirste

Working with causal models at different levels of abstraction is an important feature of science. Existing work has already considered the problem of expressing formally the relation of abstraction between causal models. In this paper, we…

Artificial Intelligence · Computer Science 2022-08-02 Fabio Massimo Zennaro , Paolo Turrini , Theodoros Damoulas

We take a utility-based approach to categorization. We construct generalizations about events and actions by considering losses associated with failing to distinguish among detailed distinctions in a decision model. The utility-based…

Artificial Intelligence · Computer Science 2013-03-08 Eric J. Horvitz , Adrian Klein

Making decisions in complex environments is a key challenge in artificial intelligence (AI). Situations involving multiple decision makers are particularly complex, leading to computational intractability of principled solution methods. A…

Artificial Intelligence · Computer Science 2021-03-02 Frans A. Oliehoek , Stefan Witwicki , Leslie P. Kaelbling

In this work, we derive conditions under which abstractions of networks of stochastic hybrid systems can be constructed compositionally. Proposed conditions leverage the interconnection topology, switching randomly between P different…

Systems and Control · Computer Science 2018-06-14 Asad Ullah Awan , Majid Zamani

Sentences produced by abstractive summarization systems can be ungrammatical and fail to preserve the original meanings, despite being locally fluent. In this paper we propose to remedy this problem by jointly generating a sentence and its…

Computation and Language · Computer Science 2019-11-26 Kaiqiang Song , Logan Lebanoff , Qipeng Guo , Xipeng Qiu , Xiangyang Xue , Chen Li , Dong Yu , Fei Liu

We propose an abstraction-based multi-document summarization framework that can construct new sentences by exploring more fine-grained syntactic units than sentences, namely, noun/verb phrases. Different from existing abstraction-based…

Computation and Language · Computer Science 2015-06-08 Lidong Bing , Piji Li , Yi Liao , Wai Lam , Weiwei Guo , Rebecca J. Passonneau

This paper addresses the problem of creating abstract transformers automatically. The method we present automates the construction of static analyzers in a fashion similar to the way $\textit{yacc}$ automates the construction of parsers.…

Programming Languages · Computer Science 2022-08-16 Pankaj Kumar Kalita , Sujit Kumar Muduli , Loris D'Antoni , Thomas Reps , Subhajit Roy

In this paper we present the extension of an existing method for abstract graph-based state space exploration, called neighbourhood abstraction, with a reduction technique based on subsumption. Basically, one abstract state subsumes another…

Logic in Computer Science · Computer Science 2012-10-25 Eduardo Zambon , Arend Rensink

While the difficulty of reinforcement learning problems is typically related to the complexity of their state spaces, Abstraction proposes that solutions often lie in simpler underlying latent spaces. Prior works have focused on learning…

Artificial Intelligence · Computer Science 2022-10-19 Amnon Attali , Pedro Cisneros-Velarde , Marco Morales , Nancy M. Amato

This paper discusses the problem of abstracting conditional probabilistic actions. We identify two distinct types of abstraction: intra-action abstraction and inter-action abstraction. We define what it means for the abstraction of an…

Artificial Intelligence · Computer Science 2013-02-28 Peter Haddawy , AnHai Doan