changed 'L' - operator to 'Lang' in order to avoid name conflicts in papers.

This commit is contained in:
Burkhart Wolff 2022-01-30 20:57:59 +01:00
parent 35b47223b9
commit e650892b48
1 changed files with 7 additions and 7 deletions

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@ -68,13 +68,13 @@ This universe of denotations is in our concrete case:\<close>
text\<open>Now the denotational semantics for regular expression can be defined on a post-card:\<close>
fun L :: "'a rexp => 'a lang"
where L_Emp : "L Zero = {}"
|L_One: "L One = {[]}"
|L_Atom: "L (\<lfloor>a\<rfloor>) = {[a]}"
|L_Un: "L (el || er) = (L el) \<union> (L er)"
|L_Conc: "L (el ~~ er) = {xs@ys | xs ys. xs \<in> L el \<and> ys \<in> L er}"
|L_Star: "L (Star e) = Regular_Set.star(L e)"
fun Lang :: "'a rexp => 'a lang"
where L_Emp : "Lang Zero = {}"
|L_One: "Lang One = {[]}"
|L_Atom: "Lang (\<lfloor>a\<rfloor>) = {[a]}"
|L_Un: "Lang (el || er) = (Lang el) \<union> (Lang er)"
|L_Conc: "Lang (el ~~ er) = {xs@ys | xs ys. xs \<in> Lang el \<and> ys \<in> Lang er}"
|L_Star: "Lang (Star e) = Regular_Set.star(Lang e)"
text\<open>A more useful definition is the sub-language - definition\<close>