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restored ancient SEFM paper example for invariants

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Burkhart Wolff 2022-01-17 12:06:06 +01:00
parent 5631010371
commit 96112ff893
1 changed files with 38 additions and 1 deletions
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39
examples/technical_report/Isabelle_DOF-Manual/04_RefMan.thy
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@ -900,6 +900,41 @@ schemata:
section*["sec:advanced"::technical]\<open>Advanced ODL Concepts\<close>
text\<open>For example, assume the following local ontology:
@{boxed_theory_text [display] \<open>
doc_class title =
short_title :: "string option" <= "None"
doc_class author = email :: "string" <= "''''"
datatype classification = SIL0 | SIL1 | SIL2 | SIL3 | SIL4
doc_class abstract =
keywordlist :: "string list" <= [] safety_level :: "classification" <= "SIL3"
doc_class text_section =
authored_by :: "author set" <= "{}" level :: "int option" <= "None"
type_synonym notion = string
doc_class introduction = text_section +
authored_by :: "author set" <= "UNIV"
uses :: "notion set"
doc_class claim = introduction +
based_on :: "notion list"
doc_class technical = text_section +
formal_results :: "thm list"
doc_class "definition" = technical +
is_formal :: "bool"
property :: "term list" <= "[]"
datatype kind = expert_opinion | argument | proof
doc_class result = technical +
evidence :: kind
property :: "thm list" <= "[]"
doc_class example = technical +
referring_to :: "(notion + definition) set" <= "{}"
doc_class "conclusion" = text_section +
establish :: "(claim \<times> result) set"
\<close>
}
\<close>
subsection\<open>Meta-types as Types\<close>
text\<open>
@ -983,6 +1018,8 @@ text\<open>
subsection*["sec:class_inv"::technical]\<open>ODL Class Invariants\<close>
text\<open>
Ontological classes as described so far are too liberal in many situations. For example, one
would like to express that any instance of a \<^boxed_theory_text>\<open>result\<close> class finally has a
@ -993,7 +1030,7 @@ text\<open>
In a high-level syntax, this type of constraints could be expressed, \<^eg>, by:
@{boxed_theory_text [display]\<open>
(* 1 *) \<forall> x \<in> result. x@kind = pr$$oof \<leftrightarrow> x@kind \<noteq> []
(* 1 *) \<forall> x \<in> result. x@evidence = proo$$f \<leftrightarrow> x@property \<noteq> []
(* 2 *) \<forall> x \<in> conclusion. \<forall> y \<in> Domain(x@establish)
\<rightarrow> \<exists> y \<in> Range(x@establish). (y,z) \<in> x@establish
(* 3 *) \<forall> x \<in> introduction. finite(x@authored_by)