forked from Isabelle_DOF/Isabelle_DOF
Merge branch 'main' into Isabelle_dev
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commit
f14c0bebbb
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@ -1,6 +1,9 @@
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session "mini_odo" = "Isabelle_DOF" +
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options [document = pdf, document_output = "output", document_build = dof,
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dof_ontologies = "Isabelle_DOF.technical_report Isabelle_DOF.cenelec_50128", dof_template = "Isabelle_DOF.scrreprt-modern"]
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dof_ontologies = "Isabelle_DOF.technical_report Isabelle_DOF.cenelec_50128",
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dof_template = "Isabelle_DOF.scrreprt-modern"]
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sessions
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"Physical_Quantities"
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theories
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"mini_odo"
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document_files
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@ -14,9 +14,10 @@
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(*<*)
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theory
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mini_odo
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imports
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imports
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"Isabelle_DOF.CENELEC_50128"
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"Isabelle_DOF.technical_report"
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"Physical_Quantities.SI" "Physical_Quantities.SI_Pretty"
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begin
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declare[[strict_monitor_checking=true]]
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define_shortcut* dof \<rightleftharpoons> \<open>\dof\<close>
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@ -41,14 +42,14 @@ text\<open>
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The case-study is presented in form of an \<^emph>\<open>integrated source\<close> in \<^isadof> containing all four
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reports from the phases:
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\<^item> \<^term>\<open>software_requirements\<close>, \<^ie> the \<^onto_class>\<open>SWRS\<close>
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\<^item> \<^term>\<open>software_requirements\<close> with deliverable \<^doc_class>\<open>SWRS\<close>
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(or long:\<^typ>\<open>software_requirements_specification\<close>(-report))
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\<^item> \<^term>\<open>software_architecture_and_design\<close>, \<^ie> the \<^onto_class>\<open>SWDS\<close>
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\<^item> \<^term>\<open>software_architecture_and_design\<close> with deliverable \<^doc_class>\<open>SWDS\<close>
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(or long: \<^typ>\<open>software_design_specification\<close>(-report))
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\<^item> \<^term>\<open>component_implementation_and_testing\<close>, \<^ie> the \<^onto_class>\<open>SWADVR\<close>
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(or long: \<^typ>\<open>software_architecture_and_design_verification\<close>(-report))
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\<^item> \<^term>\<open>component_implementation_and_testing\<close>, \<^ie> the \<^onto_class>\<open>SWADVR\<close>
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\<^item> \<^term>\<open>software_component_design\<close> with deliverable \<^doc_class>\<open>SWCDVR\<close>
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(or long: \<^typ>\<open>software_component_design_verification\<close>(-report).)
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\<^item> \<^term>\<open>component_implementation_and_testing\<close> with deliverable \<^doc_class>\<open>SWADVR\<close>
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(or long: \<^typ>\<open>software_architecture_and_design_verification\<close>(-report))
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The objective of this case study is to demonstrate deep-semantical ontologoies in
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software developments targeting certifications, and in particular, how \<^isadof>'s
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@ -186,6 +187,14 @@ text\<open>
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in AutoCorres.
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\<close>
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(*<*)
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definition teeth_per_wheelturn::nat ("tpw") where "tpw \<equiv> SOME x. x > 0"
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definition wheel_diameter ::"real[m]" ("w\<^sub>d") where "w\<^sub>d \<equiv> SOME x. x > 0"
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definition wheel_circumference::"real[m]" ("w\<^sub>0") where "w\<^sub>0 \<equiv> pi *\<^sub>Q w\<^sub>d"
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definition \<delta>s\<^sub>r\<^sub>e\<^sub>s ::"real[m]" where "\<delta>s\<^sub>r\<^sub>e\<^sub>s \<equiv> 1 / (2 * 3 * tpw) *\<^sub>Q w\<^sub>0 "
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(*>*)
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section\<open>Formal Enrichment of the Software Requirements Specification\<close>
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text\<open>
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After the \<^emph>\<open>capture\<close>-phase, where we converted/integrated existing informal analysis and design
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@ -195,9 +204,9 @@ text\<open>
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@{theory_text [display]\<open>
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definition teeth_per_wheelturn::nat ("tpw") where "tpw \<equiv> SOME x. x > 0"
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definition wheel_diameter::real ("w\<^sub>d") where "w\<^sub>d \<equiv> SOME x. x > 0"
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definition wheel_circumference::real ("w\<^sub>0") where "w\<^sub>0 \<equiv> pi * w\<^sub>d"
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definition \<delta>s\<^sub>r\<^sub>e\<^sub>s::real where "\<delta>s\<^sub>r\<^sub>e\<^sub>s \<equiv> w\<^sub>0 / (2 * 3 * tpw)"
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definition wheel_diameter::"real[m]" ("w\<^sub>d") where "w\<^sub>d \<equiv> SOME x. x > 0"
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definition wheel_circumference::"real[m]" ("w\<^sub>0") where "w\<^sub>0 \<equiv> pi *\<^sub>Q w\<^sub>d"
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definition \<delta>s\<^sub>r\<^sub>e\<^sub>s::"real[m]" where "\<delta>s\<^sub>r\<^sub>e\<^sub>s \<equiv> 1 / (2 * 3 * tpw) *\<^sub>Q w\<^sub>0 "
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\<close>}
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Here, \<open>real\<close> refers to the real numbers as defined in the HOL-Analysis library, which provides
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@ -207,9 +216,22 @@ text\<open>
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\<^assumption>\<open>perfect-wheel\<close> is translated into a calculation of the circumference of the
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wheel, while \<open>\<delta>s\<^sub>r\<^sub>e\<^sub>s\<close>, the resolution of the odometer, can be calculated
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from the these parameters. HOL-Analysis permits to formalize the fundamental physical observables:
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\<close>
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(*<*)
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type_synonym distance_function = "real[s] \<Rightarrow> real[m]"
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consts Speed::"distance_function \<Rightarrow> real[s] \<Rightarrow> real[m\<cdot>s\<^sup>-\<^sup>1]"
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consts Accel::"distance_function \<Rightarrow> real[s] \<Rightarrow> real[m\<cdot>s\<^sup>-\<^sup>2]"
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consts Speed\<^sub>M\<^sub>a\<^sub>x::"real[m\<cdot>s\<^sup>-\<^sup>1]"
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(* Non - SI conform common abrbreviations *)
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definition "kmh \<equiv> kilo *\<^sub>Q metre \<^bold>/ hour :: 'a::{field,ring_char_0}[m\<cdot>s\<^sup>-\<^sup>1]"
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definition "kHz \<equiv> kilo *\<^sub>Q hertz :: 'a::{field,ring_char_0}[s\<^sup>-\<^sup>1]"
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(*>*)
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text\<open>
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@{theory_text [display]\<open>
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type_synonym distance_function = "real\<Rightarrow>real"
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type_synonym distance_function = "real[s]\<Rightarrow>real[m]"
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definition Speed::"distance_function\<Rightarrow>real\<Rightarrow>real" where "Speed f \<equiv> deriv f"
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definition Accel::"distance_function\<Rightarrow>real\<Rightarrow>real" where "Accel f \<equiv> deriv (deriv f)"
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\<close>}
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@ -268,13 +290,17 @@ where \<open>init\<^sub>p\<^sub>o\<^sub>s\<close> is the initial position of the
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parameter of the configuration of a system.
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Finally, we can formally define the required performances. From the interface description
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and the global model parameters such as wheel diameter, the number of teeth per wheel, the sampling
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frequency etc., we can infer the maximal time of service as well the maximum distance the
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device can measure.
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As an example configuration, choosing 1m for
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\<open>w\<^sub>d\<close>, 100 for \<open>tpw\<close>, 80km/h \<open>Speed\<^sub>M\<^sub>a\<^sub>x\<close>,
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and 14400Hz for the sampling frequency, results in an odometer resolution of 2.3mm,
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a maximum distance of 9878km, and a maximal system up-time of 123.4 hours.
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and the global model parameters such as wheel diameter, the number of teeth per wheel, the
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sampling frequency etc., we can infer the maximal time of service as well the maximum distance
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the device can measure. As an example configuration, choosing:
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\<^item> \<^term>\<open>(1 *\<^sub>Q metre)::real[m]\<close> for \<^term>\<open>w\<^sub>d\<close> (wheel-diameter),
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\<^item> \<^term>\<open>100 :: real\<close> for \<^term>\<open>tpw\<close> (teeth per wheel),
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\<^item> \<^term>\<open>80 *\<^sub>Q kmh :: real[m\<cdot>s\<^sup>-\<^sup>1]\<close> for \<^term>\<open>Speed\<^sub>M\<^sub>a\<^sub>x\<close>,
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\<^item> \<^term>\<open>14.4 *\<^sub>Q kHz :: real[s\<^sup>-\<^sup>1]\<close> for the sampling frequency,
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results in an odometer resolution of \<^term>\<open>2.3 *\<^sub>Q milli *\<^sub>Q metre\<close>, a maximum distance of
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\<^term>\<open>9878 *\<^sub>Q kilo *\<^sub>Q metre\<close>, and a maximal system up-time of \<^term>\<open>123.4 *\<^sub>Q hour\<close>s.
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The required precision of an odometer can be defined by a constant describing
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the maximally allowed difference between \<open>df(n*\<delta>t)\<close> and
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\<open>sampling df init\<^sub>p\<^sub>o\<^sub>s \<delta>t n\<close> for all \<open>init\<^sub>p\<^sub>o\<^sub>s \<in>{0..5}\<close>.
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@ -593,8 +619,8 @@ text\<open>
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\<^item> \<open>@{file "mini_odo.thy"}\<close> : @{file "mini_odo.thy"}
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\<^item> \<open>@{value "3+4::int"}}\<close> : @{value "3+4::int"}
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\<^item> \<open>@{const hd}\<close> : @{const hd}
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\<^item> \<open>@{theory HOL.List}\<close> : @{theory HOL.List}
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\<^item> \<open>@{term "3"}\<close> : @{term "3"}
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\<^item> \<open>@{theory HOL.List}\<close> : @{theory HOL.List}s
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\<^item> \<open>@{tserm "3"}\<close> : @{term "3"}
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\<^item> \<open>@{type bool}\<close> : @{type bool}
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\<^item> \<open>@{thm term [show_types] "f x = a + x"}\<close> : @{term [show_types] "f x = a + x"}
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\<close>
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@ -602,10 +628,10 @@ text\<open>
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text\<open>Examples for declaration of typed doc-classes "assumption" (sic!) and "hypothesis" (sic!!),
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concepts defined in the underlying ontology @{theory "Isabelle_DOF.CENELEC_50128"}. \<close>
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text*[ass2::assumption, long_name="Some ''assumption one''"] \<open> The subsystem Y is safe. \<close>
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text*[hyp1::hypothesis] \<open> P not equal NP \<close>
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text*[hyp1::hypothesis] \<open> \<open>P \<noteq> NP\<close> \<close>
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text\<open>
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A real example fragment from a larger project, declaring a text-element as a
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A real example fragment fsrom a larger project, declaring a text-element as a
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"safety-related application condition", a concept defined in the
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@{theory "Isabelle_DOF.CENELEC_50128"} ontology:\<close>
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