From 4a44ba73440e681ff2f3daa80aa303fe5ad2a214 Mon Sep 17 00:00:00 2001 From: Anthony Berg Date: Wed, 22 May 2024 01:29:40 +0100 Subject: [PATCH] feat(dissertation): write formal methods background in full --- pub/dissertation/chapters/background.tex | 43 +++++++++++++++-------- pub/dissertation/dissertation.pdf | Bin 965920 -> 965164 bytes 2 files changed, 28 insertions(+), 15 deletions(-) diff --git a/pub/dissertation/chapters/background.tex b/pub/dissertation/chapters/background.tex index ee2c152..e6b0097 100644 --- a/pub/dissertation/chapters/background.tex +++ b/pub/dissertation/chapters/background.tex @@ -168,21 +168,34 @@ situations where the crew may completely ignore safety procedures and systems. % TODO add quick overview of what Formal Methods are % Potential resource: https://shemesh.larc.nasa.gov/fm/fm-what.html -\begin{itemize} - \item Formal methods is a mathematical technique that can be used towards the - verification of a system~\cite{nasa:formal} - \item This can be used to verify correctness of all the inputs in a system~\cite{nasa:formal} - \item Hence, as dealing with safety, it would be beneficial to have - the logic of this testing tool verified, to avoid bugs and misleading results - \item Airbus also uses formal methods in their avionics systems validation and - verification process~\cite{airbus:formal} - \item Some examples where Airbus used formal methods was during the development - for the Airbus A380, where they used it for proof of absence of stack overflows - and analysis of the numerical precision and stability of floating-point operators - to name a few~\cite{airbus:formal} - \item There are a multitude of specification languages, each of them - having their own reasons % TODO don't know if this should be included -\end{itemize} +% \begin{itemize} +% \item Formal methods is a mathematical technique that can be used towards the +% verification of a system~\cite{nasa:formal} +% \item This can be used to verify correctness of all the inputs in a system~\cite{nasa:formal} +% \item Hence, as dealing with safety, it would be beneficial to have +% the logic of this testing tool verified, to avoid bugs and misleading results +% \item Airbus also uses formal methods in their avionics systems validation and +% verification process~\cite{airbus:formal} +% \item Some examples where Airbus used formal methods was during the development +% for the Airbus A380, where they used it for proof of absence of stack overflows +% and analysis of the numerical precision and stability of floating-point operators +% to name a few~\cite{airbus:formal} +% \item There are a multitude of specification languages, each of them +% having their own reasons % TODO don't know if this should be included +% \end{itemize} + +Formal methods is a mathematical technique that can be used towards the verification +of a system, that could either be a piece of software or hardware. +Therefore, this can be used to verify correctness of all the inputs in a system.~\cite{nasa:formal} +Hence, as this project is dealing with safety, it would be beneficial to use +formal methods for testing and verification. + +An example of where formal methods is used within aviation is by Airbus, where +it was used during the development of the Airbus A380. Formal methods was used to test +the A380 for proof of absence of stack overflows and analysis of the numerical precision +and stability of floating-point operators to name a few.~\cite{airbus:formal} + +% TODO maybe add a section about the amount of specification languages that exist? %%%%% SOLUTION STACK %%%%% diff --git a/pub/dissertation/dissertation.pdf b/pub/dissertation/dissertation.pdf index 355f871eaf276048a414e1373b5e451051d4f0c6..cc5c848edbe3eb468dde2834e7f09d9690cc50c5 100644 GIT binary patch delta 147251 zcmZs?WmH|uwk?diy9NmE?(V@|f?Lqwt_y;@XW{Pd3y0wD65Ktw`$zWK=f3-1`+m$; zqiWQw>Z4bmqt&#WC%%dszBmzJ{AUzgfLfbfFALJ@HTF|L$+jG7HwzlIW5C3EMAhls zyP@3i7SC5cxTKhwOOJ-YXUAV1**(IJON#dN60pPMaP=#lN;#>U-Pm{CifA3mPAk>V z8De3cieJfd&uo*?w8=NHbobez=PL9#oNe&+%%dV4SLkOn9nOjT|9fTw}Rx2nl>_`Q@6`fSHI+xq5eT7yl!R~BAt*7S& zGn8;~u0gE*5rg>@B!CoHIP!~wlTWAZFov?e5JyVjcP)~-1p3~WLdMU6_1kW0PhYPw z%G>pk142b&D4&zIg@i1T5y}BpUY1yMD(bl3i}Fp|CoHJAl%5O5?x-TSGmQDhssM=d 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