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We present a new idea to adapt relational abstract domains to the analysis of IEEE 754-compliant floating-point numbers in order to statically detect, through abstract Interpretation-based static analyses, potential floating-point run-time…

Programming Languages · Computer Science 2016-08-14 Antoine Miné

Template abstract domains allow to express more interesting properties than classical abstract domains. However, template generation is a challenging problem when one uses template abstract domains for program analysis. In this paper, we…

Logic in Computer Science · Computer Science 2014-10-21 Assalé Adjé , Victor Magron

We present a technique for automatically extracting mutual exclusion invariants from temporal planning instances. It first identifies a set of invariant templates by inspecting the lifted representation of the domain and then checks these…

Artificial Intelligence · Computer Science 2017-02-08 Sara Bernardini , Fabio Fagnani , David E. Smith

Inferring inductive invariants is one of the main challenges of formal verification. The theory of abstract interpretation provides a rich framework to devise invariant inference algorithms. One of the latest breakthroughs in invariant…

Programming Languages · Computer Science 2022-01-19 Yotam M. Y. Feldman , Mooly Sagiv , Sharon Shoham , James R. Wilcox

We address the predicate generation problem in the context of loop invariant inference. Motivated by the interpolation-based abstraction refinement technique, we apply the interpolation theorem to synthesize predicates implicitly implied by…

Logic in Computer Science · Computer Science 2015-07-01 Wonchan Lee , Yungbum Jung , Bow-yaw Wang , Kwangkuen Yi

Inactive constraints do not contribute to the solution of an optimal control problem, but increase the problem size and burden the numerical computations. We present a novel strategy for handling inactive constraints efficiently by…

Systems and Control · Electrical Eng. & Systems 2021-12-16 Yuanbo Nie , Eric C. Kerrigan

Many approaches to transform classification problems from non-linear to linear by feature transformation have been recently presented in the literature. These notably include sparse coding methods and deep neural networks. However, many of…

Machine Learning · Computer Science 2015-07-08 Alessandro Montalto , Giovanni Tessitore , Roberto Prevete

Many machine learning applications require outputs that satisfy complex, dynamic constraints. This task is particularly challenging in Graph Neural Network models due to the variable output sizes of graph-structured data. In this paper, we…

Machine Learning · Computer Science 2025-10-14 Ahmed Rashwan , Keith Briggs , Chris Budd , Lisa Kreusser

Lifted (family-based) static analysis by abstract interpretation is capable of analyzing all variants of a program family simultaneously, in a single run without generating any of the variants explicitly. The elements of the underlying…

Programming Languages · Computer Science 2020-12-11 Aleksandar S. Dimovski , Sven Apel , Axel Legay

Program analysis requires the generation of program properties expressing conditions to hold at intermediate program locations. When it comes to programs with loops, these properties are typically expressed as loop invariants. In this paper…

Programming Languages · Computer Science 2018-01-15 Andreas Humenberger , Maximilian Jaroschek , Laura Kovács

Despite their ability to aid developers in detecting potential defects early in the software development life cycle, static analysis tools often suffer from precision issues (i.e., high false positive rates of reported alarms). To improve…

Software Engineering · Computer Science 2024-01-22 Yuwei Zhang , Ying Xing , Ge Li , Zhi Jin

Designing molecules with specific properties is a long-lasting research problem and is central to advancing crucial domains such as drug discovery and material science. Recent advances in deep graph generative models treat molecule design…

Machine Learning · Computer Science 2022-03-02 Yuanqi Du , Xiaojie Guo , Amarda Shehu , Liang Zhao

This article focuses on automatically generating polynomial equations that are inductive loop invariants of computer programs. We propose a new algorithm for this task, which is based on polynomial interpolation. Though the proposed…

Software Engineering · Computer Science 2012-04-25 Marc Moreno Maza , Rong Xiao

Iterative compilation is a widely adopted technique to optimize programs for different constraints such as performance, code size and power consumption in rapidly evolving hardware and software environments. However, in case of statically…

Programming Languages · Computer Science 2014-07-16 Lianjie Luo , Yang Chen , Chengyong Wu , Shun Long , Grigori Fursin

In this paper, we develop new affine-invariant algorithms for solving composite convex minimization problems with bounded domain. We present a general framework of Contracting-Point methods, which solve at each iteration an auxiliary…

Optimization and Control · Mathematics 2020-09-21 Nikita Doikov , Yurii Nesterov

String analysis is the problem of reasoning about how strings are manipulated by a program. It has numerous applications including automatic detection of cross-site scripting (XSS). A popular string analysis technique includes symbolic…

Logic in Computer Science · Computer Science 2020-11-02 Lukas Holik , Petr Janku , Anthony W. Lin , Philipp Rümmer , Tomas Vojnar

The design of embedded control systems is mainly done with model-based tools such as Matlab/Simulink. Numerical simulation is the central technique of development and verification of such tools. Floating-point arithmetic, that is well-known…

Programming Languages · Computer Science 2015-05-18 Alexandre Chapoutot

Controlled generation refers to the problem of creating text that contains stylistic or semantic attributes of interest. Many approaches reduce this problem to training a predictor of the desired attribute. For example, researchers hoping…

Computation and Language · Computer Science 2023-06-02 Carolina Zheng , Claudia Shi , Keyon Vafa , Amir Feder , David M. Blei

We revisit the problem of computing (robust) controlled invariant sets for discrete-time linear systems. Departing from previous approaches, we consider implicit, rather than explicit, representations for controlled invariant sets.…

Optimization and Control · Mathematics 2022-08-10 Tzanis Anevlavis , Zexiang Liu , Necmiye Ozay , Paulo Tabuada

Sampling-based motion planning under task constraints is challenging because the null-measure constraint manifold in the configuration space makes rejection sampling extremely inefficient, if not impossible. This paper presents a…

Robotics · Computer Science 2022-04-15 Cihan Acar , Keng Peng Tee