(****************************************************************************)
+type flavour = C.object_flavour
type name = string option
type hyp = string
-type what = Cic.annterm
+type what = C.annterm
type how = bool
-type using = Cic.annterm
+type using = C.annterm
type count = int
type note = string
type where = (hyp * name) option
-type inferred = Cic.annterm
-type pattern = Cic.annterm
+type inferred = C.annterm
+type pattern = C.annterm
+type body = C.annterm option
+type types = C.anninductiveType list
+type lpsno = int
+type fields = (string * bool * int) list
type step = Note of note
- | Theorem of name * what * note
+ | Record of types * lpsno * fields * note
+ | Inductive of types * lpsno * note
+ | Statement of flavour * name * what * body * note
| Qed of note
| Id of note
+ | Exact of what * note
| Intros of count option * name list * note
| Cut of name * what * note
| LetIn of name * what * note
+ | LApply of name * what * note
| Rewrite of how * what * where * pattern * note
| Elim of what * using option * pattern * note
+ | Cases of what * pattern * note
| Apply of what * note
| Change of inferred * what * where * pattern * note
| Clear of hyp list * note
| ClearBody of hyp * note
| Branch of step list list * note
+ | Reflexivity of note
(* annterm constructors *****************************************************)
-let mk_arel i b = Cic.ARel ("", "", i, b)
+let mk_arel i b = C.ARel ("", "", i, b)
+
+(* FG: this is really awful !! *)
+let arel_of_name = function
+ | C.Name s -> mk_arel 0 s
+ | C.Anonymous -> mk_arel 0 "_"
+
+(* helper functions on left params for use with inductive types *************)
+
+let strip_lps lpsno arity =
+ let rec aux no lps = function
+ | C.AProd (_, name, w, t) when no > 0 ->
+ let lp = name, Some w in
+ aux (pred no) (lp :: lps) t
+ | t -> lps, t
+ in
+ aux lpsno [] arity
+
+let merge_lps lps1 lps2 =
+ let map (n1, w1) (n2, _) =
+ let n = match n1, n2 with
+ | C.Name _, _ -> n1
+ | _ -> n2
+ in
+ n, w1
+ in
+ if lps1 = [] then lps2 else
+ List.map2 map lps1 lps2
(* grafite ast constructors *************************************************)
let mk_thnote str a =
if str = "" then a else mk_note "" :: mk_note str :: a
-let mk_theorem name t =
+let mk_pre_inductive types lpsno =
+ let map1 (lps1, cons) (name, arity) =
+ let lps2, arity = strip_lps lpsno arity in
+ merge_lps lps1 lps2, (name, arity) :: cons
+ in
+ let map2 (lps1, types) (_, name, kind, arity, cons) =
+ let lps2, arity = strip_lps lpsno arity in
+ let lps1, rev_cons = List.fold_left map1 (lps1, []) cons in
+ merge_lps lps1 lps2, (name, kind, arity, List.rev rev_cons) :: types
+ in
+ let map3 (name, xw) = arel_of_name name, xw in
+ let rev_lps, rev_types = List.fold_left map2 ([], []) types in
+ List.rev_map map3 rev_lps, List.rev rev_types
+
+let mk_inductive types lpsno =
+ let lpars, types = mk_pre_inductive types lpsno in
+ let obj = N.Inductive (lpars, types) in
+ G.Executable (floc, G.Command (floc, G.Obj (floc, obj)))
+
+let mk_record types lpsno fields =
+ match mk_pre_inductive types lpsno with
+ | lpars, [name, _, ty, [_, cty]] ->
+ let map (fields, cty) (name, coercion, arity) =
+ match cty with
+ | C.AProd (_, _, w, t) ->
+ (name, w, coercion, arity) :: fields, t
+ | _ ->
+ assert false
+ in
+ let rev_fields, _ = List.fold_left map ([], cty) fields in
+ let fields = List.rev rev_fields in
+ let obj = N.Record (lpars, name, ty, fields) in
+ G.Executable (floc, G.Command (floc, G.Obj (floc, obj)))
+ | _ -> assert false
+
+let mk_statement flavour name t v =
let name = match name with Some name -> name | None -> assert false in
- let obj = N.Theorem (`Theorem, name, t, None) in
+ let obj = N.Theorem (flavour, name, t, v, `Regular) in
G.Executable (floc, G.Command (floc, G.Obj (floc, obj)))
let mk_qed =
let tactic = G.IdTac floc in
mk_tactic tactic punctation
+let mk_exact t punctation =
+ let tactic = G.Exact (floc, t) in
+ mk_tactic tactic punctation
+
let mk_intros xi xids punctation =
let tactic = G.Intros (floc, (xi, xids)) in
mk_tactic tactic punctation
let tactic = G.LetIn (floc, what, name) in
mk_tactic tactic punctation
+let mk_lapply name what punctation =
+ let tactic = G.LApply (floc, false, None, [], what, name) in
+ mk_tactic tactic punctation
+
let mk_rewrite direction what where pattern punctation =
let direction = if direction then `RightToLeft else `LeftToRight in
let pattern, rename = match where with
- | None -> (None, [], Some pattern), []
- | Some (premise, name) -> (None, [premise, pattern], None), [name]
+ | None -> (None, [], Some pattern), []
+ | Some (premise, Some name) -> (None, [premise, pattern], None), [Some name]
+ | Some (premise, None) -> (None, [premise, pattern], None), []
in
let tactic = G.Rewrite (floc, direction, what, pattern, rename) in
mk_tactic tactic punctation
let tactic = G.Elim (floc, what, using, pattern, (Some 0, [])) in
mk_tactic tactic punctation
+let mk_cases what pattern punctation =
+ let pattern = None, [], Some pattern in
+ let tactic = G.Cases (floc, what, pattern, (Some 0, [])) in
+ mk_tactic tactic punctation
+
let mk_apply t punctation =
let tactic = G.Apply (floc, t) in
mk_tactic tactic punctation
let tactic = G.ClearBody (floc, id) in
mk_tactic tactic punctation
+let mk_reflexivity punctation =
+ let tactic = G.Reflexivity floc in
+ mk_tactic tactic punctation
+
let mk_ob =
let punctation = G.Branch floc in
mk_punctation punctation
(* rendering ****************************************************************)
let rec render_step sep a = function
- | Note s -> mk_notenote s a
- | Theorem (n, t, s) -> mk_theorem n t :: mk_thnote s a
- | Qed s -> mk_qed :: mk_tacnote s a
- | Id s -> mk_id sep :: mk_tacnote s a
- | Intros (c, ns, s) -> mk_intros c ns sep :: mk_tacnote s a
- | Cut (n, t, s) -> mk_cut n t sep :: mk_tacnote s a
- | LetIn (n, t, s) -> mk_letin n t sep :: mk_tacnote s a
- | Rewrite (b, t, w, e, s) -> mk_rewrite b t w e sep :: mk_tacnote s a
- | Elim (t, xu, e, s) -> mk_elim t xu e sep :: mk_tacnote s a
- | Apply (t, s) -> mk_apply t sep :: mk_tacnote s a
- | Change (t, _, w, e, s) -> mk_change t w e sep :: mk_tacnote s a
- | Clear (ns, s) -> mk_clear ns sep :: mk_tacnote s a
- | ClearBody (n, s) -> mk_clearbody n sep :: mk_tacnote s a
- | Branch ([], s) -> a
- | Branch ([ps], s) -> render_steps sep a ps
- | Branch (ps :: pss, s) ->
+ | Note s -> mk_notenote s a
+ | Statement (f, n, t, v, s) -> mk_statement f n t v :: mk_thnote s a
+ | Inductive (ts, lps, s) -> mk_inductive ts lps :: mk_thnote s a
+ | Record (ts, lps, fs, s) -> mk_record ts lps fs :: mk_thnote s a
+ | Qed s -> mk_qed :: mk_tacnote s a
+ | Exact (t, s) -> mk_exact t sep :: mk_tacnote s a
+ | Id s -> mk_id sep :: mk_tacnote s a
+ | Intros (c, ns, s) -> mk_intros c ns sep :: mk_tacnote s a
+ | Cut (n, t, s) -> mk_cut n t sep :: mk_tacnote s a
+ | LetIn (n, t, s) -> mk_letin n t sep :: mk_tacnote s a
+ | LApply (n, t, s) -> mk_lapply n t sep :: mk_tacnote s a
+ | Rewrite (b, t, w, e, s) -> mk_rewrite b t w e sep :: mk_tacnote s a
+ | Elim (t, xu, e, s) -> mk_elim t xu e sep :: mk_tacnote s a
+ | Cases (t, e, s) -> mk_cases t e sep :: mk_tacnote s a
+ | Apply (t, s) -> mk_apply t sep :: mk_tacnote s a
+ | Change (t, _, w, e, s) -> mk_change t w e sep :: mk_tacnote s a
+ | Clear (ns, s) -> mk_clear ns sep :: mk_tacnote s a
+ | ClearBody (n, s) -> mk_clearbody n sep :: mk_tacnote s a
+ | Branch ([], s) -> a
+ | Branch ([ps], s) -> render_steps sep a ps
+ | Branch (ps :: pss, s) ->
let a = mk_ob :: mk_tacnote s a in
let a = List.fold_left (render_steps mk_vb) a (List.rev pss) in
mk_punctation sep :: render_steps mk_cb a ps
+ | Reflexivity s -> mk_reflexivity sep :: mk_tacnote s a
and render_steps sep a = function
| [] -> a
| p :: ((Branch (_ :: _ :: _, _) :: _) as ps) ->
render_steps sep (render_step mk_sc a p) ps
| p :: ps ->
- render_steps sep (render_step mk_dot a p) ps
+ render_steps sep (render_step mk_sc a p) ps
let render_steps a = render_steps mk_dot a
let rec count_step a = function
| Note _
- | Theorem _
- | Qed _ -> a
- | Branch (pps, _) -> List.fold_left count_steps a pps
- | _ -> succ a
+ | Statement _
+ | Inductive _
+ | Qed _ -> a
+(* level A0 *)
+ | Branch (pps, _) -> List.fold_left count_steps a pps
+ | Clear _
+ | ClearBody _
+ | Id _
+ | Intros (Some 0, [], _)
+(* leval A1 *)
+ | Exact _
+(* level B1 *)
+ | Cut _
+ | LetIn _
+(* level B2 *)
+ | Change _ -> a
+(* level C *)
+ | _ -> succ a
and count_steps a = List.fold_left count_step a
+let count = I.count_nodes ~meta:false
+
let rec count_node a = function
| Note _
- | Theorem _
- | Qed _
+ | Record _
+ | Inductive _
+ | Statement _
+ | Qed _
+ | Reflexivity _
| Id _
| Intros _
| Clear _
| ClearBody _ -> a
+ | Exact (t, _)
| Cut (_, t, _)
| LetIn (_, t, _)
- | Apply (t, _) -> I.count_nodes a (H.cic t)
+ | LApply (_, t, _)
+ | Apply (t, _) -> count a (H.cic t)
| Rewrite (_, t, _, p, _)
| Elim (t, _, p, _)
- | Change (t, _, _, p, _) ->
- let a = I.count_nodes a (H.cic t) in
- I.count_nodes a (H.cic p)
+ | Cases (t, p, _)
+ | Change (t, _, _, p, _) -> let a = count a (H.cic t) in count a (H.cic p)
| Branch (ss, _) -> List.fold_left count_nodes a ss
and count_nodes a = List.fold_left count_node a
+
+(* helpers ******************************************************************)
+
+let rec note_of_step = function
+ | Note s
+ | Statement (_, _, _, _, s)
+ | Inductive (_, _, s)
+ | Record (_, _, _, s)
+ | Qed s
+ | Exact (_, s)
+ | Id s
+ | Intros (_, _, s)
+ | Cut (_, _, s)
+ | LetIn (_, _, s)
+ | LApply (_, _, s)
+ | Rewrite (_, _, _, _, s)
+ | Elim (_, _, _, s)
+ | Cases (_, _, s)
+ | Apply (_, s)
+ | Change (_, _, _, _, s)
+ | Clear (_, s)
+ | ClearBody (_, s)
+ | Reflexivity s
+ | Branch (_, s) -> s