Reliability modeling and analysis of communication networks
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 …
various infrastructural utilities such as electrical power, water to socio-economical aspects …
Probabilistic relational reasoning for differential privacy
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 …
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 …
integral and they are restricted to real-valued measures. We lift this restriction by introducing …
Measure transformer semantics for Bayesian machine learning
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 …
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 …
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 …
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
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 …
complex systems and their sub-components and are extensively used for system reliability …
Measure transformer semantics for Bayesian machine learning
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 …
random variables from a probabilistic model of how the variables are related (that is, a prior …
Reliability block diagrams based analysis: A survey
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 …
systems and their sub-components and are extensively used for system reliability …
Formal dependability modeling and analysis: A survey
Dependability is an umbrella concept that subsumes many key properties about a system,
including reliability, maintainability, safety, availability, confidentiality, and integrity. Various …
including reliability, maintainability, safety, availability, confidentiality, and integrity. Various …