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Avionics is one of the fields in which verification methods have been pioneered and brought a new level of reliability to systems used in safety critical environments. Tragedies, like the 2015 insider attack on a German airplane, in which…

Software Engineering · Computer Science 2020-03-27 Florian Kammüller , Manfred Kerber

We present the first verified implementation of a decision procedure for the quantifier-free theory of partial and linear orders. We formalise the procedure in Isabelle/HOL and provide a specification that is made executable using…

Logic in Computer Science · Computer Science 2021-11-25 Lukas Stevens , Tobias Nipkow

Interactive theorem provers have developed dramatically over the past four decades, from primitive beginnings to today's powerful systems. Here, we focus on Isabelle/HOL and its distinctive strengths. They include automatic proof search,…

Logic in Computer Science · Computer Science 2022-10-14 Lawrence C. Paulson , Tobias Nipkow , Makarius Wenzel

Two-sample hypothesis testing for network comparison presents many significant challenges, including: leveraging repeated network observations and known node registration, but without requiring them to operate; relaxing strong structural…

Methodology · Statistics 2024-02-05 Meijia Shao , Dong Xia , Yuan Zhang , Qiong Wu , Shuo Chen

In this article we present an ongoing effort to formalise quantum algorithms and results in quantum information theory using the proof assistant Isabelle/HOL. Formal methods being critical for the safety and security of algorithms and…

Logic in Computer Science · Computer Science 2020-12-29 Anthony Bordg , Hanna Lachnitt , Yijun He

How to identify the comprehensive comparable performance of various Intrusion Detection (ID) algorithms which are based on the Model Checking (MC) techniques? To address this open issue, we conduct some tests for the model-checking-based…

Cryptography and Security · Computer Science 2018-06-26 Weijun Zhu

Model checking is an established technique to formally verify automation systems which are required to be trusted. However, for sufficiently complex systems model checking becomes computationally infeasible. On the other hand, testing,…

Software Engineering · Computer Science 2019-07-30 Igor Buzhinsky , Valeriy Vyatkin

An approach for encoding abstract dialectical frameworks and their semantics into classical higher-order logic is presented. Important properties and semantic relationships are formally encoded and proven using the proof assistant…

Logic in Computer Science · Computer Science 2026-04-08 Antoine Martina , Alexander Steen

For the formal verification of a network security policy, it is crucial to express the verification goals. These formal goals, called security invariants, should be easy to express for the end user. Focusing on access control and…

Cryptography and Security · Computer Science 2016-04-04 Cornelius Diekmann , Stephan-A. Posselt , Heiko Niedermayer , Holger Kinkelin , Oliver Hanka , Georg Carle

We study the model checking problem of Hyper2LTL over finite structures. Hyper2LTL is a second-order hyperlogic, that extends the well-studied logic HyperLTL by adding quantification over sets of traces, to express complex hyperproperties…

Logic in Computer Science · Computer Science 2026-01-29 Bernd Finkbeiner , Hadar Frenkel , Tim Rohde

We present an approach to unsolvability certification of temporal planning. Our approach is based on encoding the planning problem into a network of timed automata, and then using an efficient model checker on the network followed by a…

Logic in Computer Science · Computer Science 2025-10-21 David Wang , Mohammad Abdulaziz

Large computer-understandable proofs consist of millions of intermediate logical steps. The vast majority of such steps originate from manually selected and manually guided heuristics applied to intermediate goals. So far, machine learning…

Artificial Intelligence · Computer Science 2017-03-02 Cezary Kaliszyk , François Chollet , Christian Szegedy

Model checking is a powerful method widely explored in formal verification. Given a model of a system, e.g., a Kripke structure, and a formula specifying its expected behaviour, one can verify whether the system meets the behaviour by…

Logic in Computer Science · Computer Science 2019-02-07 A. Molinari , A. Montanari , A. Murano , G. Perelli , A. Peron

Proof assistants offer tactics to facilitate inductive proofs. However, it still requires human ingenuity to decide what arguments to pass to those induction tactics. To automate this process, we present smart_induct for Isabelle/HOL. Given…

Artificial Intelligence · Computer Science 2020-01-30 Yutaka Nagashima

We present a Bounded Model Checking technique for higher-order programs. The vehicle of our study is a higher-order calculus with general references. Our technique is a symbolic state syntactical translation based on SMT solvers, adapted to…

Programming Languages · Computer Science 2018-04-06 Yu-Yang Lin , Nikos Tzevelekos

Model checking allows one to automatically verify a specification of the expected properties of a system against a formal model of its behaviour (generally, a Kripke structure). Point-based temporal logics, such as LTL, CTL, and CTL*, that…

Logic in Computer Science · Computer Science 2019-02-07 Alberto Molinari , Angelo Montanari , Adriano Peron

Byzantine fault tolerant protocols enable state replication in the presence of crashed, malfunctioning, or actively malicious processes. Designing such protocols without the assistance of verification tools, however, is remarkably…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-23 Joel Wanner , Laurent Chuat , Adrian Perrig

In a recent paper, new theorems linking apparently unrelated mathematical objects (event structures from concurrency theory and full graphs arising in computational biology) were discovered by cross-site data mining on huge databases, and…

Logic in Computer Science · Computer Science 2023-06-21 Marco B. Caminati

We provide simple equational principles for deriving rely-guarantee-style inference rules and refinement laws based on idempotent semirings. We link the algebraic layer with concrete models of programs based on languages and execution…

Logic in Computer Science · Computer Science 2013-12-05 Alasdair Armstrong , Victor B. F. Gomes , Georg Struth

The two major systems of formal verification are model checking and algebraic model-based testing. Model checking is based on some form of temporal logic such as linear temporal logic (LTL) or computation tree logic (CTL). One powerful and…

Logic in Computer Science · Computer Science 2019-01-31 Stefan D. Bruda , Sunita Singh , A. F. M. Nokib Uddin , Zhiyu Zhang , Rui Zuo