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Update high level invariants tests

This commit is contained in:
Nicolas Méric 2022-03-14 18:44:09 +01:00
parent 3895ba550c
commit 8bc2e60d2f
1 changed files with 30 additions and 7 deletions
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37
src/tests/High_Level_Syntax_Invariants.thy
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@ -66,6 +66,7 @@ doc_class introduction = text_section +
authored_by :: "author set" <= "UNIV"
uses :: "notion set"
invariant author_finite :: "finite (authored_by \<sigma>)"
and force_level :: "the (level \<sigma>) > 1"
doc_class claim = introduction +
based_on :: "notion list"
@ -83,32 +84,54 @@ doc_class result = technical +
evidence :: kind
property :: "thm list" <= "[]"
invariant has_property :: "evidence \<sigma> = proof \<longleftrightarrow> property \<sigma> \<noteq> []"
doc_class example = technical +
referring_to :: "(notion + definition) set" <= "{}"
doc_class conclusion = text_section +
establish :: "(claim \<times> result) set"
invariant total_rel :: "\<forall> x. x \<in> Domain (establish \<sigma>)
\<longrightarrow> (\<exists> y \<in> Range (establish \<sigma>). (x, y) \<in> establish \<sigma>)"
invariant establish_defined :: "\<forall> x. x \<in> Domain (establish \<sigma>)
\<longrightarrow> (\<exists> y \<in> Range (establish \<sigma>). (x, y) \<in> establish \<sigma>)"
text\<open>Next we define some instances (docitems): \<close>
declare[[invariants_checking_with_tactics = true]]
text*[church::author, email="\<open>church@lambda.org\<close>"]\<open>\<close>
(*text*[introduction1::introduction, authored_by = "{@{author \<open>church\<close>}}", level = "Some 0"]\<open>\<close>*)
text*[resultProof::result, evidence = "proof", property="[@{thm \<open>HOL.refl\<close>}]"]\<open>\<close>
text*[resultArgument::result, evidence = "argument"]\<open>\<close>
text\<open>The invariants \<open>author_finite\<close> and \<open>total_rel\<close> can not be checked directly
text\<open>The invariants \<^theory_text>\<open>author_finite\<close> and \<^theory_text>\<open>establish_defined\<close> can not be checked directly
and need a little help.
We can set the \<open>invariants_checking_with_tactics\<close> theory attribute to help the checking.
It will enable a basic tactic, using unfold and auto:\<close>
declare[[invariants_checking_with_tactics = true]]
text*[introductionTest::introduction, authored_by = "{@{author \<open>church\<close>}}"]\<open>\<close>
text*[curry::author, email="\<open>curry@lambda.org\<close>"]\<open>\<close>
text*[introduction2::introduction, authored_by = "{@{author \<open>church\<close>}}", level = "Some 2"]\<open>\<close>
text*[introduction3::introduction, authored_by = "{@{author \<open>church\<close>}}", level = "Some 2"]\<open>\<close>
text*[introduction4::introduction, authored_by = "{@{author \<open>curry\<close>}}", level = "Some 4"]\<open>\<close>
text*[claimNotion::claim, authored_by = "{@{author \<open>church\<close>}}", based_on= "[\<open>Notion1\<close>, \<open>Notion2\<close>]"]\<open>\<close>
text*[resultProof2::result, evidence = "proof", property="[@{thm \<open>HOL.sym\<close>}]"]\<open>\<close>
text*[conclusionProof::conclusion,
establish = "{(@{claim \<open>claimNotion\<close>}, @{result \<open>resultProof\<close>})}"]\<open>\<close>
text\<open>Then we can evaluate expressions with instances:\<close>
term*\<open>authored_by @{introduction \<open>introduction2\<close>} = authored_by @{introduction \<open>introduction3\<close>}\<close>
value*\<open>authored_by @{introduction \<open>introduction2\<close>} = authored_by @{introduction \<open>introduction3\<close>}\<close>
value*\<open>authored_by @{introduction \<open>introduction2\<close>} = authored_by @{introduction \<open>introduction4\<close>}\<close>
value*\<open>@{introduction \<open>introduction2\<close>}\<close>
value*\<open>{@{author \<open>curry\<close>}} = {@{author \<open>church\<close>}}\<close>
term*\<open>property @{result \<open>resultProof\<close>} = property @{result \<open>resultProof2\<close>}\<close>
value*\<open>property @{result \<open>resultProof\<close>} = property @{result \<open>resultProof2\<close>}\<close>
value*\<open>evidence @{result \<open>resultProof\<close>} = evidence @{result \<open>resultProof2\<close>}\<close>
declare[[invariants_checking_with_tactics = false]]
end