Isabelle_DOF/src/ontologies/small_math/small_math.thy

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section\<open>An example ontology for a math paper\<close>
theory small_math
imports "../../DOF/Isa_COL"
begin
doc_class title =
short_title :: "string option" <= "None"
doc_class author =
email :: "string" <= "''''"
datatype classification = algebra | geometry | topology
doc_class abstract =
keyword_list :: "classification list" <= "[]"
doc_class text_section =
authored_by :: "author set" <= "{}"
level :: "int option" <= "None"
(* this attribute enables doc-notation support section* etc.
we follow LaTeX terminology on levels
part = Some -1
chapter = Some 0
section = Some 1
subsection = Some 2
subsubsection = Some 3
... *)
(* for scholarly paper: invariant level > 0 *)
type_synonym notion = string
doc_class introduction = text_section +
uses :: "notion set"
doc_class contribution_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
c :: "thm list" <= "[]"
ML\<open>fun check_invariant_invariant oid {is_monitor:bool} ctxt =
let val kind_term = AttributeAccess.compute_attr_access ctxt "kind" oid @{here} @{here}
val property_termS = AttributeAccess.compute_attr_access ctxt "property" oid @{here} @{here}
val tS = HOLogic.dest_list property_termS
in case kind_term of
@{term "proof"} => if not(null tS) then true
else error("class class invariant violation")
| _ => false
end
\<close>
setup\<open>DOF_core.update_class_invariant "small_math.result" check_invariant_invariant\<close>
doc_class example = technical +
referring_to :: "(notion + definition) set" <= "{}"
doc_class "conclusion" = text_section +
establish :: "(contribution_claim \<times> result) set"
text\<open> Besides subtyping, there is another relation between
doc_classes: a class can be a \<^emph>\<open>monitor\<close> to other ones,
which is expressed by occurrence in the where clause.
While sub-classing refers to data-inheritance of attributes,
a monitor captures structural constraints -- the order --
in which instances of monitored classes may occur.
The control of monitors is done by the commands:
\<^item> \<^verbatim>\<open> monitor <oid::class_type, <attributes-defs> > \<close>
\<^item> \<^verbatim>\<open> close_monitor <oid[::class_type],<attributes-updates>> \<close>
where the automaton of the monitor class is expected
to be in a final state.
Monitors can be nested.
Classes neither directly or indirectly (via inheritance)
mentioned in the monitor clause are \<^emph>\<open>independent\<close> from
the monitor and may occur freely, \ie{} in arbitrary order.n \<close>
text \<open>underlying idea: a monitor class automatically receives a
\<^verbatim>\<open>trace\<close> attribute in which a list of observed class-ids is maintained.
The \<^verbatim>\<open>trace\<close> is a \<^emph>\<open>`predefined id`\<close> like \<^verbatim>\<open>main\<close> in C. It can be accessed
like any other attribute of a class instance, \ie{} a document item.\<close>
doc_class article =
style_id :: string <= "''LNCS''"
accepts "(title ~~ \<lbrace>author\<rbrace>\<^sup>+ ~~ abstract ~~
\<lbrace>introduction\<rbrace>\<^sup>+ ~~ \<lbrace>technical || example\<rbrace>\<^sup>+ ~~ \<lbrace>conclusion\<rbrace>\<^sup>+)"
ML\<open>
structure Small_Math_trace_invariant =
struct
local
fun group f g cidS [] = []
|group f g cidS (a::S) = case find_first (f a) cidS of
NONE => [a] :: group f g cidS S
| SOME cid => let val (pref,suff) = chop_prefix (g cid) S
in (a::pref)::(group f g cidS suff) end;
fun partition ctxt cidS trace =
let fun find_lead (x,_) = DOF_core.is_subclass ctxt x;
fun find_cont cid (cid',_) = DOF_core.is_subclass ctxt cid' cid
in group find_lead find_cont cidS trace end;
fun dest_option _ (Const (@{const_name "None"}, _)) = NONE
| dest_option f (Const (@{const_name "Some"}, _) $ t) = SOME (f t)
in
fun check ctxt cidS mon_id pos =
let val trace = AttributeAccess.compute_trace_ML ctxt mon_id pos @{here}
val groups = partition (Context.proof_of ctxt) cidS trace
fun get_level_raw oid = AttributeAccess.compute_attr_access ctxt "level" oid @{here} @{here};
fun get_level oid = dest_option (snd o HOLogic.dest_number) (get_level_raw (oid));
fun check_level_hd a = case (get_level (snd a)) of
NONE => error("Invariant violation: leading section" ^ snd a ^
" must have lowest level")
| SOME X => X
fun check_group_elem level_hd a = case (get_level (snd a)) of
NONE => true
| SOME y => if level_hd <= y then true
(* or < ? But this is too strong ... *)
else error("Invariant violation: "^
"subsequent section " ^ snd a ^
" must have higher level.");
fun check_group [] = true
|check_group [_] = true
|check_group (a::S) = forall (check_group_elem (check_level_hd a)) (S)
in if forall check_group groups then ()
else error"Invariant violation: leading section must have lowest level"
end
end
end
\<close>
setup\<open> let val cidS = ["small_math.introduction","small_math.technical", "small_math.conclusion"];
fun body moni_oid _ ctxt = (Small_Math_trace_invariant.check ctxt cidS moni_oid @{here};
true)
in DOF_core.update_class_invariant "small_math.article" body end\<close>
gen_sty_template
end