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As software systems increase in size and complexity dramatically, ensuring their correctness, security, and reliability becomes an increasingly formidable challenge. Despite significant advancements in verification techniques and tools,…

Formal verification of variant requirements has gained much interest in the software product line (SPL) community. Feature diagrams are widely used to model product line variants. However, there is a lack of precisely defined formal…

Software Engineering · Computer Science 2014-02-25 Shamim Ripon , Sk. Jahir Hossain , Keya Azad , Mehidee Hassan

Word-level verification of arithmetic circuits with large operands typically relies on arbitrary-precision arithmetic, which can lead to significant computational overhead as word sizes grow. In this paper, we present a hybrid algebraic…

Symbolic Computation · Computer Science 2026-05-07 Clemens Hofstadler , Daniela Kaufmann , Chen Chen

We develop a linear logical framework within the Hybrid system and use it to reason about the type system of a quantum lambda calculus. In particular, we consider a practical version of the calculus called Proto-Quipper, which contains the…

Logic in Computer Science · Computer Science 2018-12-11 Mohamed Yousri Mahmoud , Amy P. Felty

The current verification flow of complex systems uses different engines synergistically: virtual prototyping, formal verification, simulation, emulation and FPGA prototyping. However, none is able to verify a complete architecture.…

Logic in Computer Science · Computer Science 2018-02-12 Tomas Grimm , Djones Lettnin , Michael Hübner

Signal Temporal Logic monitoring over numerical simulation traces has emerged as an effective approach to approximate verification of continuous and hybrid systems. In this report we explore an exact verification procedure for STL…

Logic in Computer Science · Computer Science 2020-08-18 Thomas Wright , Ian Stark

We propose a new approach to formally describing the requirement for statistical inference and checking whether a program uses the statistical method appropriately. Specifically, we define belief Hoare logic (BHL) for formalizing and…

Artificial Intelligence · Computer Science 2023-12-05 Yusuke Kawamoto , Tetsuya Sato , Kohei Suenaga

We have developed a web-based pedagogical proof assistant, the Proof Tree Builder, that lets you apply rules upwards from the initial goal in sequent calculus and Hoare logic for a simple imperative language. We equipped our tool with a…

Logic in Computer Science · Computer Science 2023-03-13 Joomy Korkut

The aim of this paper is to give a presentation of the Python toolbox YALTAPy dedicated to the stability study of standard and fractional delay systems as well as its online version YALTAPy_Online. Both toolboxes are derived from YALTA…

Optimization and Control · Mathematics 2022-12-13 Hugo Cavalera , Jayvir Raj , Guilherme Mazanti , Catherine Bonnet

In this extended abstract, we discuss the opportunity to formally verify that inference systems for probabilistic programming guarantee good performance. In particular, we focus on hybrid inference systems that combine exact and approximate…

Programming Languages · Computer Science 2023-07-17 Eric Atkinson , Ellie Y. Cheng , Guillaume Baudart , Louis Mandel , Michael Carbin

Hybrid programs combine digital control with differential equations, and naturally appear in a wide range of application domains, from biology and control theory to real-time software engineering. The entanglement of discrete and continuous…

Logic in Computer Science · Computer Science 2020-10-01 Sergey Goncharov , Renato Neves , José Proença

Deductive verification techniques based on program logics (i.e., the family of Floyd-Hoare logics) are a powerful approach for program reasoning. Recently, there has been a trend of increasing the expressive power of such logics by…

Logic in Computer Science · Computer Science 2021-01-27 Marco Gaboardi , Shin-ya Katsumata , Dominic Orchard , Tetsuya Sato

In this paper we study planar hybrid systems composed by two stable linear systems, defined by Hurwitz matrices, in addition with a jump that can be a piecewise linear, a polynomial or an analytic function. We provide an explicit analytic…

Dynamical Systems · Mathematics 2026-02-06 Luis Fernando Mello , Paulo Santana

Many practical engineering systems and their components have multiple performance levels and failure modes. If these systems form a monotonically increasing structure function (system model) with respect to the performance of their…

Logic in Computer Science · Computer Science 2021-12-28 Shahid Ali Murtza , Waqar Ahmed , Adnan Rashid , Osman Hasan

Modern industrial systems require updated approaches to safety management, as the tight interplay between cyber-physical, human, and organizational factors has driven their processes toward increasing complexity. In addition to dealing with…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Francesco Simone , Marco Bortolini , Giovanni Mazzuto , Giulio di Gravio , Riccardo Patriarca

In permission logics such as separation logic, the iterated separating conjunction is a quantifier denoting access permission to an unbounded set of heap locations. In contrast to recursive predicates, iterated separating conjunctions do…

Programming Languages · Computer Science 2016-05-09 Peter Müller , Malte Schwerhoff , Alexander J. Summers

Research keyloggers are essential for cognitive studies of text production, yet most fail to capture the on-screen transformations performed by Input Method Editors (IMEs) for non-alphabetic scripts. To address this methodological gap, we…

Computation and Language · Computer Science 2026-01-27 Roberto Crotti , Giovanni Denaro , Zhiqiang Du , Ricardo Muñoz Martín

We argue that verification of recursive programs by means of the assertional method of C.A.R. Hoare can be conceptually simplified using a modular reasoning. In this approach some properties of the program are established first and…

Logic in Computer Science · Computer Science 2009-07-27 Krzysztof R. Apt , Frank S. de Boer , Ernst-Rüdiger Olderog

Many types of formal verification establish properties about abstract high-level program representations, leaving a large gap to programs at runtime. Although gaps can sometimes be narrowed by techniques such as refinement, a verified…

Logic in Computer Science · Computer Science 2025-03-19 Karl Palmskog , Andreas Lindner , Scott Constable , Roberto Guanciale , Hamed Nemati

Interrupts have been widely used in safety-critical computer systems to handle outside stimuli and interact with the hardware, but reasoning about interrupt-driven software remains a difficult task. Although a number of static verification…

Programming Languages · Computer Science 2017-09-29 Chungha Sung , Markus Kusano , Chao Wang