added first examples for use of SI units in mini-odo.

This commit is contained in:
Burkhart Wolff 2022-08-02 10:46:50 +02:00
parent 4caee16cb6
commit d2703b0dbd
3 changed files with 32 additions and 11 deletions

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@ -1 +1,2 @@
mini_odo
../../.afp/afp-2021-12-28/thys/Physical_Quantities/

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@ -1,6 +1,9 @@
session "mini_odo" = "Isabelle_DOF" +
options [document = pdf, document_output = "output", document_build = dof,
dof_ontologies = "Isabelle_DOF.technical_report Isabelle_DOF.cenelec_50128", dof_template = "Isabelle_DOF.scrreprt-modern"]
dof_ontologies = "Isabelle_DOF.technical_report Isabelle_DOF.cenelec_50128",
dof_template = "Isabelle_DOF.scrreprt-modern"]
sessions
"Physical_Quantities"
theories
"mini_odo"
document_files

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@ -14,9 +14,10 @@
(*<*)
theory
mini_odo
imports
imports
"Isabelle_DOF.CENELEC_50128"
"Isabelle_DOF.technical_report"
"Physical_Quantities.SI_Pretty"
begin
declare[[strict_monitor_checking=true]]
define_shortcut* dof \<rightleftharpoons> \<open>\dof\<close>
@ -41,14 +42,14 @@ text\<open>
The case-study is presented in form of an \<^emph>\<open>integrated source\<close> in \<^isadof> containing all four
reports from the phases:
\<^item> \<^term>\<open>software_requirements\<close>, \<^ie> the \<^onto_class>\<open>SWRS\<close>
\<^item> \<^term>\<open>software_requirements\<close> with deliverable \<^doc_class>\<open>SWRS\<close>
(or long:\<^typ>\<open>software_requirements_specification\<close>(-report))
\<^item> \<^term>\<open>software_architecture_and_design\<close>, \<^ie> the \<^onto_class>\<open>SWDS\<close>
\<^item> \<^term>\<open>software_architecture_and_design\<close> with deliverable \<^doc_class>\<open>SWDS\<close>
(or long: \<^typ>\<open>software_design_specification\<close>(-report))
\<^item> \<^term>\<open>component_implementation_and_testing\<close>, \<^ie> the \<^onto_class>\<open>SWADVR\<close>
(or long: \<^typ>\<open>software_architecture_and_design_verification\<close>(-report))
\<^item> \<^term>\<open>component_implementation_and_testing\<close>, \<^ie> the \<^onto_class>\<open>SWADVR\<close>
\<^item> \<^term>\<open>software_component_design\<close> with deliverable \<^doc_class>\<open>SWCDVR\<close>
(or long: \<^typ>\<open>software_component_design_verification\<close>(-report).)
\<^item> \<^term>\<open>component_implementation_and_testing\<close> with deliverable \<^doc_class>\<open>SWADVR\<close>
(or long: \<^typ>\<open>software_architecture_and_design_verification\<close>(-report))
The objective of this case study is to demonstrate deep-semantical ontologoies in
software developments targeting certifications, and in particular, how \<^isadof>'s
@ -186,6 +187,14 @@ text\<open>
in AutoCorres.
\<close>
(*<*)
definition teeth_per_wheelturn::nat ("tpw") where "tpw \<equiv> SOME x. x > 0"
definition wheel_diameter ::"real[m]" ("w\<^sub>d") where "w\<^sub>d \<equiv> SOME x. x > 0"
definition wheel_circumference::"real[m]" ("w\<^sub>0") where "w\<^sub>0 \<equiv> pi *\<^sub>Q w\<^sub>d"
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 "
(*>*)
section\<open>Formal Enrichment of the Software Requirements Specification\<close>
text\<open>
After the \<^emph>\<open>capture\<close>-phase, where we converted/integrated existing informal analysis and design
@ -195,9 +204,9 @@ text\<open>
@{theory_text [display]\<open>
definition teeth_per_wheelturn::nat ("tpw") where "tpw \<equiv> SOME x. x > 0"
definition wheel_diameter::real ("w\<^sub>d") where "w\<^sub>d \<equiv> SOME x. x > 0"
definition wheel_circumference::real ("w\<^sub>0") where "w\<^sub>0 \<equiv> pi * w\<^sub>d"
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)"
definition wheel_diameter::"real[m]" ("w\<^sub>d") where "w\<^sub>d \<equiv> SOME x. x > 0"
definition wheel_circumference::"real[m]" ("w\<^sub>0") where "w\<^sub>0 \<equiv> pi *\<^sub>Q w\<^sub>d"
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 "
\<close>}
Here, \<open>real\<close> refers to the real numbers as defined in the HOL-Analysis library, which provides
@ -207,9 +216,17 @@ text\<open>
\<^assumption>\<open>perfect-wheel\<close> is translated into a calculation of the circumference of the
wheel, while \<open>\<delta>s\<^sub>r\<^sub>e\<^sub>s\<close>, the resolution of the odometer, can be calculated
from the these parameters. HOL-Analysis permits to formalize the fundamental physical observables:
\<close>
(*<*)
type_synonym distance_function = "real[s] \<Rightarrow> real[m]"
consts Speed::"distance_function \<Rightarrow> real[s] \<Rightarrow> real[m\<cdot>s\<^sup>-\<^sup>1]"
consts Accel::"distance_function \<Rightarrow> real[s] \<Rightarrow> real[m\<cdot>s\<^sup>-\<^sup>2]"
(*>*)
text\<open>
@{theory_text [display]\<open>
type_synonym distance_function = "real\<Rightarrow>real"
type_synonym distance_function = "real[s]\<Rightarrow>real[m]"
definition Speed::"distance_function\<Rightarrow>real\<Rightarrow>real" where "Speed f \<equiv> deriv f"
definition Accel::"distance_function\<Rightarrow>real\<Rightarrow>real" where "Accel f \<equiv> deriv (deriv f)"
\<close>}