* http://cs.unibo.it/helm/.
*)
-(******************************************************************************)
-(* *)
-(* PROJECT HELM *)
-(* *)
-(* Claudio Sacerdoti Coen <sacerdot@cs.unibo.it> *)
-(* 24/01/2000 *)
-(* *)
-(* This module implements a very simple Coq-like pretty printer that, given *)
-(* an object of cic (internal representation) returns a string describing the *)
-(* object in a syntax similar to that of coq *)
-(* *)
-(******************************************************************************)
+(*****************************************************************************)
+(* *)
+(* PROJECT HELM *)
+(* *)
+(* This module implements a very simple Coq-like pretty printer that, given *)
+(* an object of cic (internal representation) returns a string describing *)
+(* the object in a syntax similar to that of coq *)
+(* *)
+(* It also contains the utility functions to check a name w.r.t the Matita *)
+(* naming policy *)
+(* *)
+(*****************************************************************************)
exception CicPpInternalError;;
exception NotEnoughElements;;
(* Utility functions *)
-let string_of_name =
+let ppname =
function
Cic.Name s -> s
- | Cic.Anonimous -> "_"
+ | Cic.Anonymous -> "_"
;;
(* get_nth l n returns the nth element of the list l if it exists or *)
try
(match get_nth l n with
Some (C.Name s) -> s
- | _ -> raise CicPpInternalError
+ | Some C.Anonymous -> "__" ^ string_of_int n
+ | None -> "_hidden_" ^ string_of_int n
)
with
NotEnoughElements -> string_of_int (List.length l - n)
end
- | C.Var uri -> UriManager.name_of_uri uri
+ | C.Var (uri,exp_named_subst) ->
+ UriManager.string_of_uri (*UriManager.name_of_uri*) uri ^ pp_exp_named_subst exp_named_subst l
| C.Meta (n,l1) ->
"?" ^ (string_of_int n) ^ "[" ^
String.concat " ; "
- (List.map (function None -> "_" | Some t -> pp t l) l1) ^
+ (List.rev_map (function None -> "_" | Some t -> pp t l) l1) ^
"]"
| C.Sort s ->
(match s with
- C.Prop -> "Prop"
- | C.Set -> "Set"
- | C.Type -> "Type"
+ C.Prop -> "Prop"
+ | C.Set -> "Set"
+ | C.Type _ -> "Type"
+ (*| C.Type u -> ("Type" ^ CicUniv.string_of_universe u)*)
+ | C.CProp -> "CProp"
)
- | C.Implicit -> "?"
+ | C.Implicit (Some `Hole) -> "%"
+ | C.Implicit _ -> "?"
| C.Prod (b,s,t) ->
(match b with
C.Name n -> "(" ^ n ^ ":" ^ pp s l ^ ")" ^ pp t ((Some b)::l)
- | C.Anonimous -> "(" ^ pp s l ^ "->" ^ pp t ((Some b)::l) ^ ")"
+ | C.Anonymous -> "(" ^ pp s l ^ "->" ^ pp t ((Some b)::l) ^ ")"
)
- | C.Cast (v,t) -> pp v l
+ | C.Cast (v,t) -> "(" ^ pp v l ^ ":" ^ pp t l ^ ")"
| C.Lambda (b,s,t) ->
- "[" ^ string_of_name b ^ ":" ^ pp s l ^ "]" ^ pp t ((Some b)::l)
+ "[" ^ ppname b ^ ":" ^ pp s l ^ "]" ^ pp t ((Some b)::l)
| C.LetIn (b,s,t) ->
- "[" ^ string_of_name b ^ ":=" ^ pp s l ^ "]" ^ pp t ((Some b)::l)
+ "[" ^ ppname b ^ ":=" ^ pp s l ^ "]" ^ pp t ((Some b)::l)
| C.Appl li ->
"(" ^
(List.fold_right
(fun x i -> pp x l ^ (match i with "" -> "" | _ -> " ") ^ i)
li ""
) ^ ")"
- | C.Const (uri,_) -> UriManager.name_of_uri uri
- | C.MutInd (uri,_,n) ->
- (match CicEnvironment.get_obj uri with
- C.InductiveDefinition (dl,_,_) ->
- let (name,_,_,_) = get_nth dl (n+1) in
- name
- | _ -> raise CicPpInternalError
+ | C.Const (uri,exp_named_subst) ->
+ UriManager.name_of_uri uri ^ pp_exp_named_subst exp_named_subst l
+ | C.MutInd (uri,n,exp_named_subst) ->
+ (try
+ match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
+ C.InductiveDefinition (dl,_,_,_) ->
+ let (name,_,_,_) = get_nth dl (n+1) in
+ name ^ pp_exp_named_subst exp_named_subst l
+ | _ -> raise CicPpInternalError
+ with
+ _ -> UriManager.string_of_uri uri ^ "#1/" ^ string_of_int (n + 1)
)
- | C.MutConstruct (uri,_,n1,n2) ->
- (match CicEnvironment.get_obj uri with
- C.InductiveDefinition (dl,_,_) ->
- let (_,_,_,cons) = get_nth dl (n1+1) in
- let (id,_,_) = get_nth cons n2 in
- id
- | _ -> raise CicPpInternalError
+ | C.MutConstruct (uri,n1,n2,exp_named_subst) ->
+ (try
+ match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
+ C.InductiveDefinition (dl,_,_,_) ->
+ let (_,_,_,cons) = get_nth dl (n1+1) in
+ let (id,_) = get_nth cons n2 in
+ id ^ pp_exp_named_subst exp_named_subst l
+ | _ -> raise CicPpInternalError
+ with
+ _ ->
+ UriManager.string_of_uri uri ^ "#1/" ^ string_of_int (n1 + 1) ^ "/" ^
+ string_of_int n2
)
- | C.MutCase (uri,_,n1,ty,te,patterns) ->
+ | C.MutCase (uri,n1,ty,te,patterns) ->
let connames =
- (match CicEnvironment.get_obj uri with
- C.InductiveDefinition (dl,_,_) ->
+ (match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
+ C.InductiveDefinition (dl,_,_,_) ->
let (_,_,_,cons) = get_nth dl (n1+1) in
- List.map (fun (id,_,_) -> id) cons
+ List.map (fun (id,_) -> id) cons
| _ -> raise CicPpInternalError
)
in
+ let connames_and_patterns =
+ let rec combine =
+ function
+ [],[] -> []
+ | [],l -> List.map (fun x -> "???",Some x) l
+ | l,[] -> List.map (fun x -> x,None) l
+ | x::tlx,y::tly -> (x,Some y)::(combine (tlx,tly))
+ in
+ combine (connames,patterns)
+ in
"\n<" ^ pp ty l ^ ">Cases " ^ pp te l ^ " of " ^
- List.fold_right (fun (x,y) i -> "\n " ^ x ^ " => " ^ pp y l ^ i)
- (List.combine connames patterns) "" ^
+ List.fold_right
+ (fun (x,y) i -> "\n " ^ x ^ " => " ^
+ (match y with None -> "" | Some y -> pp y l) ^ i)
+ connames_and_patterns "" ^
"\nend"
| C.Fix (no, funs) ->
let snames = List.map (fun (name,_,_,_) -> name) funs in
pp bo (names@l) ^ i)
funs "" ^
"}\n"
+and pp_exp_named_subst exp_named_subst l =
+ if exp_named_subst = [] then "" else
+ "{" ^
+ String.concat " ; " (
+ List.map
+ (function (uri,t) -> UriManager.name_of_uri uri ^ ":=" ^ pp t l)
+ exp_named_subst
+ ) ^ "}"
;;
let ppterm t =
pp t []
;;
-(* ppinductiveType (typename, inductive, arity, cons) names *)
-(* pretty-prints a single inductive definition (typename, inductive, arity, *)
-(* cons) where the cic terms in the inductive definition need to be *)
-(* evaluated in the environment names that is the list of typenames of the *)
-(* mutual inductive definitions defined in the block of mutual inductive *)
-(* definitions to which this one belongs to *)
-let ppinductiveType (typename, inductive, arity, cons) names =
+(* ppinductiveType (typename, inductive, arity, cons) *)
+(* pretty-prints a single inductive definition *)
+(* (typename, inductive, arity, cons) *)
+let ppinductiveType (typename, inductive, arity, cons) =
(if inductive then "\nInductive " else "\nCoInductive ") ^ typename ^ ": " ^
- (*CSC: bug found: was pp arity names ^ " =\n " ^*)
pp arity [] ^ " =\n " ^
List.fold_right
- (fun (id,ty,_) i -> id ^ " : " ^ pp ty names ^
+ (fun (id,ty) i -> id ^ " : " ^ pp ty [] ^
(if i = "" then "\n" else "\n | ") ^ i)
cons ""
;;
+let ppcontext ?(sep = "\n") context =
+ let separate s = if s = "" then "" else s ^ sep in
+ fst (List.fold_right
+ (fun context_entry (i,name_context) ->
+ match context_entry with
+ Some (n,Cic.Decl t) ->
+ Printf.sprintf "%s%s : %s" (separate i) (ppname n)
+ (pp t name_context), (Some n)::name_context
+ | Some (n,Cic.Def (bo,ty)) ->
+ Printf.sprintf "%s%s : %s := %s" (separate i) (ppname n)
+ (match ty with
+ None -> "_"
+ | Some ty -> pp ty name_context)
+ (pp bo name_context), (Some n)::name_context
+ | None ->
+ Printf.sprintf "%s_ :? _" (separate i), None::name_context
+ ) context ("",[]))
+
(* ppobj obj returns a string with describing the cic object obj in a syntax *)
(* similar to the one used by Coq *)
let ppobj obj =
let module C = Cic in
let module U = UriManager in
match obj with
- C.Definition (id, t1, t2, params) ->
- "Definition of " ^ id ^
- "(" ^
- List.fold_right
- (fun (_,x) i ->
- List.fold_right
- (fun x i ->
- U.string_of_uri x ^ match i with "" -> "" | i' -> " " ^ i'
- ) x "" ^ match i with "" -> "" | i' -> " " ^ i'
- ) params "" ^ ")" ^
- ":\n" ^ pp t1 [] ^ " : " ^ pp t2 []
- | C.Axiom (id, ty, params) ->
- "Axiom " ^ id ^ "(" ^
- List.fold_right
- (fun (_,x) i ->
- List.fold_right
- (fun x i ->
- U.string_of_uri x ^ match i with "" -> "" | i' -> " " ^ i'
- ) x "" ^ match i with "" -> "" | i' -> " " ^ i'
- ) params "" ^
- "):\n" ^ pp ty []
- | C.Variable (name, bo, ty) ->
- "Variable " ^ name ^ ":\n" ^ pp ty [] ^ "\n" ^
- (match bo with None -> "" | Some bo -> ":= " ^ pp bo [])
- | C.CurrentProof (name, conjectures, value, ty) ->
- "Current Proof:\n" ^
+ C.Constant (name, Some t1, t2, params, _) ->
+ "Definition of " ^ name ^
+ "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
+ ")" ^ ":\n" ^ pp t1 [] ^ " : " ^ pp t2 []
+ | C.Constant (name, None, ty, params, _) ->
+ "Axiom " ^ name ^
+ "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
+ "):\n" ^ pp ty []
+ | C.Variable (name, bo, ty, params, _) ->
+ "Variable " ^ name ^
+ "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
+ ")" ^ ":\n" ^
+ pp ty [] ^ "\n" ^
+ (match bo with None -> "" | Some bo -> ":= " ^ pp bo [])
+ | C.CurrentProof (name, conjectures, value, ty, params, _) ->
+ "Current Proof of " ^ name ^
+ "(" ^ String.concat ";" (List.map UriManager.string_of_uri params) ^
+ ")" ^ ":\n" ^
let separate s = if s = "" then "" else s ^ " ; " in
List.fold_right
(fun (n, context, t) i ->
let conjectures',name_context =
- List.fold_right
- (fun context_entry (i,name_context) ->
- (match context_entry with
- Some (n,C.Decl at) ->
+ List.fold_right
+ (fun context_entry (i,name_context) ->
+ (match context_entry with
+ Some (n,C.Decl at) ->
(separate i) ^
- string_of_name n ^ ":" ^ pp at name_context ^ " ",
- (Some n)::name_context
- | Some (n,C.Def at) ->
+ ppname n ^ ":" ^ pp at name_context ^ " ",
+ (Some n)::name_context
+ | Some (n,C.Def (at,None)) ->
(separate i) ^
- string_of_name n ^ ":= " ^ pp at name_context ^ " ",
- (Some n)::name_context
+ ppname n ^ ":= " ^ pp at name_context ^ " ",
+ (Some n)::name_context
| None ->
- (separate i) ^ "_ :? _ ", None::name_context)
- ) context ("",[])
+ (separate i) ^ "_ :? _ ", None::name_context
+ | _ -> assert false)
+ ) context ("",[])
in
conjectures' ^ " |- " ^ "?" ^ (string_of_int n) ^ ": " ^
pp t name_context ^ "\n" ^ i
) conjectures "" ^
"\n" ^ pp value [] ^ " : " ^ pp ty []
- | C.InductiveDefinition (l, params, nparams) ->
+ | C.InductiveDefinition (l, params, nparams, _) ->
"Parameters = " ^
- List.fold_right
- (fun (_,x) i ->
- List.fold_right
- (fun x i ->
- U.string_of_uri x ^ match i with "" -> "" | i' -> " " ^ i'
- ) x "" ^ match i with "" -> "" | i' -> " " ^ i'
- ) params "" ^ "\n" ^
- "NParams = " ^ string_of_int nparams ^ "\n" ^
- let names = List.rev (List.map (fun (n,_,_,_) -> Some (C.Name n)) l) in
- List.fold_right (fun x i -> ppinductiveType x names ^ i) l ""
+ String.concat ";" (List.map UriManager.string_of_uri params) ^ "\n" ^
+ "NParams = " ^ string_of_int nparams ^ "\n" ^
+ List.fold_right (fun x i -> ppinductiveType x ^ i) l ""
+;;
+
+let ppsort = function
+ | Cic.Prop -> "Prop"
+ | Cic.Set -> "Set"
+ | Cic.Type _ -> "Type"
+ | Cic.CProp -> "CProp"
+
+
+(* MATITA NAMING CONVENTION *)
+
+let is_prefix prefix string =
+ let len = String.length prefix in
+ let len1 = String.length string in
+ if len <= len1 then
+ begin
+ let head = String.sub string 0 len in
+ if
+ (String.compare (String.lowercase head) (String.lowercase prefix)=0) then
+ begin
+ let diff = len1-len in
+ let tail = String.sub string len diff in
+ if ((diff > 0) && (String.rcontains_from tail 0 '_')) then
+ Some (String.sub tail 1 (diff-1))
+ else Some tail
+ end
+ else None
+ end
+ else None
+
+let remove_prefix prefix (last,string) =
+ if prefix="append" then
+ begin
+ prerr_endline last;
+ prerr_endline string;
+ end;
+ if string = "" then (last,string)
+ else
+ match is_prefix prefix string with
+ None ->
+ if last <> "" then
+ match is_prefix last prefix with
+ None -> (last,string)
+ | Some _ ->
+ (match is_prefix prefix (last^string) with
+ None -> (last,string)
+ | Some tail -> (prefix,tail))
+ else (last,string)
+ | Some tail -> (prefix, tail)
+
+let legal_suffix string =
+ if string = "" then true else
+ begin
+ let legal_s = Str.regexp "_?\\([0-9]+\\|r\\|l\\|'\\|\"\\)" in
+ (Str.string_match legal_s string 0) && (Str.matched_string string = string)
+ end
+
+(** check if a prefix of string_name is legal for term and returns the tail.
+ chec_rec cannot fail: at worst it return string_name.
+ The algorithm is greedy, but last contains the last name matched, providing
+ a one slot buffer.
+ string_name is here a pair (last,string_name).*)
+
+let rec check_rec ctx string_name =
+ function
+ | Cic.Rel m ->
+ (match List.nth ctx (m-1) with
+ Cic.Name name ->
+ remove_prefix name string_name
+ | Cic.Anonymous -> string_name)
+ | Cic.Meta _ -> string_name
+ | Cic.Sort sort -> remove_prefix (ppsort sort) string_name
+ | Cic.Implicit _ -> string_name
+ | Cic.Cast (te,ty) -> check_rec ctx string_name te
+ | Cic.Prod (name,so,dest) ->
+ let l_string_name = check_rec ctx string_name so in
+ check_rec (name::ctx) string_name dest
+ | Cic.Lambda (name,so,dest) ->
+ let string_name =
+ match name with
+ Cic.Anonymous -> string_name
+ | Cic.Name name -> remove_prefix name string_name in
+ let l_string_name = check_rec ctx string_name so in
+ check_rec (name::ctx) l_string_name dest
+ | Cic.LetIn (name,so,dest) ->
+ let string_name = check_rec ctx string_name so in
+ check_rec (name::ctx) string_name dest
+ | Cic.Appl l ->
+ List.fold_left (check_rec ctx) string_name l
+ | Cic.Var (uri,exp_named_subst) ->
+ let name = UriManager.name_of_uri uri in
+ remove_prefix name string_name
+ | Cic.Const (uri,exp_named_subst) ->
+ let name = UriManager.name_of_uri uri in
+ remove_prefix name string_name
+ | Cic.MutInd (uri,_,exp_named_subst) ->
+ let name = UriManager.name_of_uri uri in
+ remove_prefix name string_name
+ | Cic.MutConstruct (uri,n,m,exp_named_subst) ->
+ let name =
+ (match fst(CicEnvironment.get_obj CicUniv.empty_ugraph uri) with
+ Cic.InductiveDefinition (dl,_,_,_) ->
+ let (_,_,_,cons) = get_nth dl (n+1) in
+ let (id,_) = get_nth cons m in
+ id
+ | _ -> assert false) in
+ remove_prefix name string_name
+ | Cic.MutCase (_,_,_,te,pl) ->
+ let strig_name = remove_prefix "match" string_name in
+ let string_name = check_rec ctx string_name te in
+ List.fold_right (fun t s -> check_rec ctx s t) pl string_name
+ | Cic.Fix (_,fl) ->
+ let strig_name = remove_prefix "fix" string_name in
+ let names = List.map (fun (name,_,_,_) -> name) fl in
+ let onames =
+ List.rev (List.map (function name -> Cic.Name name) names)
+ in
+ List.fold_right
+ (fun (_,_,_,bo) s -> check_rec (onames@ctx) s bo) fl string_name
+ | Cic.CoFix (_,fl) ->
+ let strig_name = remove_prefix "cofix" string_name in
+ let names = List.map (fun (name,_,_) -> name) fl in
+ let onames =
+ List.rev (List.map (function name -> Cic.Name name) names)
+ in
+ List.fold_right
+ (fun (_,_,bo) s -> check_rec (onames@ctx) s bo) fl string_name
+
+let check_name ?(allow_suffix=false) ctx name term =
+ let (_,tail) = check_rec ctx ("",name) term in
+ if (not allow_suffix) then (String.length tail = 0)
+ else legal_suffix tail
+
+let check_elim ctx conclusion_name =
+ let elim = Str.regexp "_elim\\|_case" in
+ if (Str.string_match elim conclusion_name 0) then
+ let len = String.length conclusion_name in
+ let tail = String.sub conclusion_name 5 (len-5) in
+ legal_suffix tail
+ else false
+
+let rec check_names ctx hyp_names conclusion_name t =
+ match t with
+ | Cic.Prod (name,s,t) ->
+ (match hyp_names with
+ [] -> check_names (name::ctx) hyp_names conclusion_name t
+ | hd::tl ->
+ if check_name ctx hd s then
+ check_names (name::ctx) tl conclusion_name t
+ else
+ check_names (name::ctx) hyp_names conclusion_name t)
+ | Cic.Appl ((Cic.Rel n)::args) ->
+ (match hyp_names with
+ | [] ->
+ (check_name ~allow_suffix:true ctx conclusion_name t) ||
+ (check_elim ctx conclusion_name)
+ | [what_to_elim] ->
+ (* what to elim could be an argument
+ of the predicate: e.g. leb_elim *)
+ let (last,tail) =
+ List.fold_left (check_rec ctx) ("",what_to_elim) args in
+ (tail = "" && check_elim ctx conclusion_name)
+ | _ -> false)
+ | Cic.MutCase (_,_,Cic.Lambda(name,so,ty),te,_) ->
+ (match hyp_names with
+ | [] ->
+ (match is_prefix "match" conclusion_name with
+ None -> check_name ~allow_suffix:true ctx conclusion_name t
+ | Some tail -> check_name ~allow_suffix:true ctx tail t)
+ | [what_to_match] ->
+ (* what to match could be the term te or its type so; in this case the
+ conclusion name should match ty *)
+ check_name ~allow_suffix:true (name::ctx) conclusion_name ty &&
+ (check_name ctx what_to_match te || check_name ctx what_to_match so)
+ | _ -> false)
+ | _ ->
+ hyp_names=[] && check_name ~allow_suffix:true ctx conclusion_name t
+
+let check name term =
+(* prerr_endline name;
+ prerr_endline (ppterm term); *)
+ let names = Str.split (Str.regexp_string "_to_") name in
+ let hyp_names,conclusion_name =
+ match List.rev names with
+ [] -> assert false
+ | hd::tl ->
+ let elim = Str.regexp "_elim\\|_case" in
+ let len = String.length hd in
+ try
+ let pos = Str.search_backward elim hd len in
+ let hyp = String.sub hd 0 pos in
+ let concl = String.sub hd pos (len-pos) in
+ List.rev (hyp::tl),concl
+ with Not_found -> (List.rev tl),hd in
+ check_names [] hyp_names conclusion_name term
;;
+
+