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Loop invariants are software properties that hold before and after every iteration of a loop. As such, invariants provide inductive arguments that are key in automating the verification of program loops. The problem of generating loop…

计算机科学中的逻辑 · 计算机科学 2023-05-25 George Kenison , Laura Kovács , Anton Varonka

Many approaches for verifying input-output properties of neural networks have been proposed recently. However, existing algorithms do not scale well to large networks. Recent work in the field of model compression studied binarized neural…

机器学习 · 计算机科学 2022-03-15 Christopher Lazarus , Mykel J. Kochenderfer

In this paper, we present a toolbox for interval analysis in numpy, with an application to formal verification of neural network controlled systems. Using the notion of natural inclusion functions, we systematically construct interval…

系统与控制 · 电气工程与系统科学 2023-06-28 Akash Harapanahalli , Saber Jafarpour , Samuel Coogan

Static analysis is a powerful technique for automatic verification of programs but raises major engineering challenges when developing a full-fledged analyzer for a realistic language such as Java. This paper describes the Sawja library: a…

In probabilistic programming, the inference problem asks to determine a program's posterior distribution conditioned on its "observe" instructions. Inference is challenging, especially when exact rather than approximate results are…

形式语言与自动机理论 · 计算机科学 2025-11-26 Dominik Geißler , Tobias Winkler

We present simple, self-contained proofs of correctness for algorithms for linearity testing and program checking of linear functions on finite subsets of integers represented as n-bit numbers. In addition we explore a generalization of…

计算复杂性 · 计算机科学 2015-06-24 Sheela Devadas , Ronitt Rubinfeld

This article presents a validation of a recently proposed strongly polynomial-time algorithm for the general linear programming problem. The proposed algorithm is an implicit reduction procedure that combines primal and dual linear…

最优化与控制 · 数学 2026-04-28 Samuel Awoniyi

Quantization replaces floating point arithmetic with integer arithmetic in deep neural network models, providing more efficient on-device inference with less power and memory. In this work, we propose a framework for formally verifying…

机器学习 · 计算机科学 2023-12-29 Pei Huang , Haoze Wu , Yuting Yang , Ieva Daukantas , Min Wu , Yedi Zhang , Clark Barrett

We study verification over a general model of artifact-centric systems, to assess (parameterized) safety properties irrespectively of the initial database instance. We view such artifact systems as array-based systems, which allows us to…

计算机科学中的逻辑 · 计算机科学 2019-02-28 Diego Calvanese , Silvio Ghilardi , Alessandro Gianola , Marco Montali , Andrey Rivkin

Most recently proposed methods for Neural Program Induction work under the assumption of having a large set of input/output (I/O) examples for learning any underlying input-output mapping. This paper aims to address the problem of data and…

人工智能 · 计算机科学 2017-10-12 Jacob Devlin , Rudy Bunel , Rishabh Singh , Matthew Hausknecht , Pushmeet Kohli

We consider the problem of automated reasoning about dynamically manipulated data structures. The state-of-the-art methods are limited to the unfold-and-match (U+M) paradigm, where predicates are transformed via (un)folding operations…

编程语言 · 计算机科学 2014-07-24 Duc-Hiep Chu , Joxan Jaffar , Minh-Thai Trinh

Type-and-effect systems help the programmer to organize data and computational effects in a program. While for traditional type systems expressive variants with sophisticated inference algorithms have been developed and widely used in…

编程语言 · 计算机科学 2025-10-24 Patrycja Balik , Szymon Jędras , Piotr Polesiuk

A code clone is a pair of code fragments, within or between software systems that are similar. Since code clones often negatively impact the maintainability of a software system, several code clone detection techniques and tools have been…

软件工程 · 计算机科学 2020-05-05 Golam Mostaeen , Banani Roy , Chanchal Roy , Kevin Schneider , Jeffrey Svajlenko

We describe the LoopInvGen tool for generating loop invariants that can provably guarantee correctness of a program with respect to a given specification. LoopInvGen is an efficient implementation of the inference technique originally…

编程语言 · 计算机科学 2019-11-01 Saswat Padhi , Rahul Sharma , Todd Millstein

Formally verifying software properties is a highly desirable but labor-intensive task. Recent work has developed methods to automate formal verification using proof assistants, such as Coq and Isabelle/HOL, e.g., by training a model to…

机器学习 · 计算机科学 2023-03-17 Emily First , Markus N. Rabe , Talia Ringer , Yuriy Brun

A program is characterized by its input model, and a formal input model can be of use in diverse areas including vulnerability analysis, reverse engineering, fuzzing and software testing, clone detection and refactoring. Unfortunately,…

软件工程 · 计算机科学 2019-12-13 Rahul Gopinath , Björn Mathis , Andreas Zeller

QNNVerifier is the first open-source tool for verifying implementations of neural networks that takes into account the finite word-length (i.e. quantization) of their operands. The novel support for quantization is achieved by employing…

Ensuring software correctness remains a fundamental challenge in formal program verification. One promising approach relies on finding polynomial invariants for loops. Polynomial invariants are properties of a program loop that hold before…

符号计算 · 计算机科学 2025-05-02 Erdenebayar Bayarmagnai , Fatemeh Mohammadi , Rémi Prébet

Decidability and synthesis of inductive invariants ranging in a given domain play an important role in many software and hardware verification systems. We consider here inductive invariants belonging to an abstract domain $A$ as defined in…

编程语言 · 计算机科学 2020-07-14 Francesco Ranzato

We revisit two well-established verification techniques, $k$-induction and bounded model checking (BMC), in the more general setting of fixed point theory over complete lattices. Our main theoretical contribution is latticed $k$-induction,…

计算机科学中的逻辑 · 计算机科学 2021-06-01 Kevin Batz , Mingshuai Chen , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja , Philipp Schröer