Reliability modeling and analysis of communication networks

W Ahmad, O Hasan, U Pervez, J Qadir - Journal of Network and Computer …, 2017 - Elsevier
In recent times, the functioning of various aspects of modern society—ranging from the
various infrastructural utilities such as electrical power, water to socio-economical aspects …

Probabilistic relational reasoning for differential privacy

G Barthe, B Köpf, F Olmedo… - ACM Transactions on …, 2013 - dl.acm.org
Differential privacy is a notion of confidentiality that allows useful computations on sensible
data while protecting the privacy of individuals. Proving differential privacy is a difficult and …

Three chapters of measure theory in Isabelle/HOL

J Hölzl, A Heller - International Conference on Interactive Theorem …, 2011 - Springer
Currently published HOL formalizations of measure theory concentrate on the Lebesgue
integral and they are restricted to real-valued measures. We lift this restriction by introducing …

Measure transformer semantics for Bayesian machine learning

J Borgström, AD Gordon, M Greenberg… - … 2011, Held as Part of the …, 2011 - Springer
The Bayesian approach to machine learning amounts to inferring posterior distributions of
random variables from a probabilistic model of how the variables are related (that is, a prior …

Formalization of real analysis: A survey of proof assistants and libraries

S Boldo, C Lelay, G Melquiond - Mathematical Structures in …, 2016 - cambridge.org
In the recent years, numerous proof systems have improved enough to be used for formally
verifying non-trivial mathematical results. They, however, have different purposes and it is …

Measure construction by extension in dependent type theory with application to integration

R Affeldt, C Cohen - Journal of Automated Reasoning, 2023 - Springer
We report on an original formalization of measure and integration theory in the Coq proof
assistant. We build the Lebesgue measure following a standard construction that had not yet …

[HTML][HTML] Formalization of reliability block diagrams in higher-order logic

W Ahmed, O Hasan, S Tahar - Journal of Applied Logic, 2016 - Elsevier
Abstract Reliability Block Diagrams (RBDs) allow us to model the failure relationships of
complex systems and their sub-components and are extensively used for system reliability …

Measure transformer semantics for Bayesian machine learning

J Borgström, AD Gordon, M Greenberg… - Logical Methods in …, 2013 - lmcs.episciences.org
The Bayesian approach to machine learning amounts to computing posterior distributions of
random variables from a probabilistic model of how the variables are related (that is, a prior …

Reliability block diagrams based analysis: A survey

O Hasan, W Ahmed, S Tahar, MS Hamdi - AIP Conference …, 2015 - pubs.aip.org
Reliability Block Diagrams (RBDs) allow us to model the failure relationships of complex
systems and their sub-components and are extensively used for system reliability …

Formal dependability modeling and analysis: A survey

W Ahmad, O Hasan, S Tahar - … , CICM 2016, Bialystok, Poland, July 25-29 …, 2016 - Springer
Dependability is an umbrella concept that subsumes many key properties about a system,
including reliability, maintainability, safety, availability, confidentiality, and integrity. Various …