added citations to support spider
diagrams as logic and theorem proving tools
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@ -101,10 +101,15 @@ I had recently completed an
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MSc and my project was to create an Euler/Spider~Diagram~\cite{howse:spider} editor in Java.
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MSc and my project was to create an Euler/Spider~Diagram~\cite{howse:spider} editor in Java.
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This editor allowed the user to draw Euler/Spider diagrams, and could then
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This editor allowed the user to draw Euler/Spider diagrams, and could then
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represent these as abstract---i.e. mathematical---definitions.
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represent these as abstract---i.e. mathematical---definitions.
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%
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The primary motive for writing the Spider diagram editor was to provide an alternative
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The primary motive for writing the Spider diagram editor was to provide an alternative
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to formal languages for software specification.
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to formal languages for software specification.
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Because of my daily work exposure to FMEA, I started thinking of ways to apply formal languages and spider diagrams to
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An added attraction for using spider diagrams was that they could be used in
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proving logic~\cite{stapleton:atpieds} and theorems~\cite{theoremflower,Fish200553} in an intuitive way.
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Because of my daily work exposure to FMEA,
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I started thinking of ways to apply formal languages and spider diagrams to
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failure mode analysis.
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failure mode analysis.
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@ -127,9 +132,10 @@ Any of the components that could, in failing, create a dangerous state were alre
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documented and approved using failure mode effects analysis (FMEA).
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documented and approved using failure mode effects analysis (FMEA).
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This new requirement
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This new requirement
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effectively meant that all single and double component failures
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effectively meant that all single and double component failures were
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%double combinations of component failures were
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now required to be analysed.
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now required to be analysed. This, from a state explosion problem alone,
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This, from a state explosion problem alone,
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meant that it was going to be virtually impossible to perform.
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meant that it was going to be virtually impossible to perform.
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To compound the problem, %state explosion problem
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To compound the problem, %state explosion problem
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@ -44,8 +44,7 @@
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%%%%%%%%%%%%%%%%%%%%%%% WEB SITES ONLY %%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%% WEB SITES ONLY %%%%%%%%%%%%%%%%%%%%
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%site,
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@MISC{dau:website,
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author = {{F.~Dau}},
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author = {{F.~Dau}},
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howpublished = "{http://www.dr-dau.net/eg\_readings.shtml}",
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howpublished = "{http://www.dr-dau.net/eg\_readings.shtml}",
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year = "2006"
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year = "2006"
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