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We propose a probabilistic Hoare logic aHL based on the union bound, a tool from basic probability theory. While the union bound is simple, it is an extremely common tool for analyzing randomized algorithms. In formal verification terms,…

Logic in Computer Science · Computer Science 2019-11-11 Gilles Barthe , Marco Gaboardi , Benjamin Grégoire , Justin Hsu , Pierre-Yves Strub

Graphs are a generalized concept that encompasses more complex data structures than trees, such as difference lists, doubly-linked lists, skip lists, and leaf-linked trees. Normally, these structures are handled with destructive assignments…

Programming Languages · Computer Science 2022-09-13 Jin Sano , Naoki Yamamoto , Kazunori Ueda

Bounded model checking (BMC) is an effective technique for hunting bugs by incrementally exploring the state space of a system. To reason about infinite traces through a finite structure and to ultimately obtain completeness, BMC…

Logic in Computer Science · Computer Science 2023-01-31 Tzu-Han Hsu , César Sánchez , Sarai Sheinvald , Borzoo Bonakdarpour

In this paper, we develop a novel verification technique to reason about programs featuring concurrency, pointers and randomization. While the integration of concurrency and pointers is well studied, little is known about the combination of…

Logic in Computer Science · Computer Science 2024-10-01 Ira Fesefeldt , Joost-Pieter Katoen , Thomas Noll

A large number of different model checking approaches has been proposed during the last decade. The different approaches are applicable to different model types including untimed, timed, probabilistic and stochastic models. This paper…

Logic in Computer Science · Computer Science 2007-05-23 Peter Buchholz , Peter Kemper

In this paper, we propose a mathematical framework for automated bug localization. This framework can be briefly summarized as follows. A program execution can be represented as a rooted acyclic directed graph. We define an execution…

Software Engineering · Computer Science 2007-05-23 Tsuyoshi Ohta , Tadanori Mizuno

We present CLTLB(D), an extension of PLTLB (PLTL with both past and future operators) augmented with atomic formulae built over a constraint system D. Even for decidable constraint systems, satisfiability and Model Checking problem of such…

Logic in Computer Science · Computer Science 2010-04-21 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

Analyzing and verifying heap-manipulating programs automatically is challenging. A key for fighting the complexity is to develop compositional methods. For instance, many existing verifiers for heap-manipulating programs require…

Programming Languages · Computer Science 2019-08-28 Long H. Pham , Jun Sun , Quang Loc Le

Functional programming languages are particularly well-suited for building automated reasoning systems, since (among other reasons) a logical term is well modeled by an inductive type, traversing a term can be implemented generically as a…

Programming Languages · Computer Science 2020-06-02 Daniel Selsam , Simon Hudon , Leonardo de Moura

This work utilizes the plethora of work on verification of sequential programs for the purpose of verifying concurrent programs. We reduce the verification of a concurrent program to a series of verification tasks of sequential programs.…

Programming Languages · Computer Science 2021-06-03 Dan Rasin , Orna Grumberg , Sharon Shoham

In runtime verification, the central problem is to decide if a given program execution violates a given property. In online runtime verification, a monitor observes a program's execution as it happens. If the program being observed has hard…

Data Structures and Algorithms · Computer Science 2015-05-15 Radu Grigore , Stefan Kiefer

Software model checking constitutes an undecidable problem and, as such, even an ideal tool will in some cases fail to give a conclusive answer. In practice, software model checkers fail often and usually do not provide any information on…

Software Engineering · Computer Science 2017-08-21 Rodrigo Castaño , Victor Braberman , Diego Garbervetsky , Sebastian Uchitel

Machine learning tasks are generally formulated as optimization problems, where one searches for an optimal function within a certain functional space. In practice, parameterized functional spaces are considered, in order to be able to…

Artificial Intelligence · Computer Science 2024-12-13 Manon Verbockhaven , Sylvain Chevallier , Guillaume Charpiat , Théo Rudkiewicz

We study decidability of verification problems for timed automata extended with unbounded discrete data structures. More detailed, we extend timed automata with a pushdown stack. In this way, we obtain a strong model that may for instance…

Logic in Computer Science · Computer Science 2017-01-11 Karin Quaas

Neural networks offer a computationally efficient approximation of model predictive control, but they lack guarantees on the resulting controlled system's properties. Formal certification of neural networks is crucial for ensuring safety,…

Optimization and Control · Mathematics 2025-02-05 Philip Sosnin , Calvin Tsay

We introduce a novel logic for asynchronous hyperproperties with a new mechanism to identify relevant positions on traces. While the new logic is more expressive than a related logic presented recently by Bozzelli et al., we obtain the same…

Logic in Computer Science · Computer Science 2023-10-26 Jens Oliver Gutsfeld , Markus Müller-Olm , Christoph Ohrem

Data debugging is to find a subset of the training data such that the model obtained by retraining on the subset has a better accuracy. A bunch of heuristic approaches are proposed, however, none of them are guaranteed to solve this problem…

Computational Complexity · Computer Science 2024-08-05 Zizheng Guo , Pengyu Chen , Yanzhang Fu , Dongjing Miao

Pointer arithmetic is widely used in low-level programs, e.g. memory allocators. The specification of such programs usually requires using pointer arithmetic inside inductive definitions to define the common data structures, e.g. heap lists…

Logic in Computer Science · Computer Science 2024-03-05 Wanyun Su , Zhilin Wu , Mihaela Sighireanu

It is crucial for accurate model checking that the model be a complete and faithful representation of the system. Unfortunately, this is not always possible, mainly because of two reasons: (i) the model is still under development and (ii)…

Logic in Computer Science · Computer Science 2017-06-19 Shiraj Arora , M. V. Panduranga Rao

Many programmers, when they encounter an error, would like to have the benefit of automatic fix suggestions---as long as they are, most of the time, adequate. Initial research in this direction has generally limited itself to specific…

Software Engineering · Computer Science 2015-03-18 Yu Pei , Yi Wei , Carlo A. Furia , Martin Nordio , Bertrand Meyer