header {* \isaheader{Class Declarations and Programs} *}
theory Decl imports Type begin
types
fdecl = "vname × ty" -- "field declaration, cf. 8.3 (, 9.3)"
sig = "mname × ty list" -- "signature of a method, cf. 8.4.2"
'c mdecl = "sig × ty × 'c" -- "method declaration in a class"
'c "class" = "cname × fdecl list × 'c mdecl list"
-- "class = superclass, fields, methods"
'c cdecl = "cname × 'c class" -- "class declaration, cf. 8.1"
'c prog = "'c cdecl list" -- "program"
translations
"fdecl" <= (type) "vname × ty"
"sig" <= (type) "mname × ty list"
"mdecl c" <= (type) "sig × ty × c"
"class c" <= (type) "cname × fdecl list × (c mdecl) list"
"cdecl c" <= (type) "cname × (c class)"
"prog c" <= (type) "(c cdecl) list"
constdefs
"class" :: "'c prog => (cname \<rightharpoonup> 'c class)"
"class ≡ map_of"
is_class :: "'c prog => cname => bool"
"is_class G C ≡ class G C ≠ None"
lemma finite_is_class: "finite {C. is_class G C}"
apply (unfold is_class_def class_def)
apply (fold dom_def)
apply (rule finite_dom_map_of)
done
consts
is_type :: "'c prog => ty => bool"
primrec
"is_type G (PrimT pt) = True"
"is_type G (RefT t) = (case t of NullT => True | ClassT C => is_class G C)"
end