* http://cs.unibo.it/helm/.
*)
-(*****************************************************************************)
-(* *)
-(* PROJECT HELM *)
-(* *)
-(* Claudio Sacerdoti Coen <sacerdot@cs.unibo.it> *)
-(* 29/11/2000 *)
-(* *)
-(* This module defines the internal representation of the objects (variables,*)
-(* blocks of (co)inductive definitions and constants) and the terms of cic *)
-(* *)
-(*****************************************************************************)
-
-(* $Id: cic.ml 7190 2007-01-31 18:36:04Z sacerdot $ *)
-(*
-(* STUFF TO MANAGE IDENTIFIERS *)
-type id = string (* the abstract type of the (annotated) node identifiers *)
-type 'term explicit_named_substitution = (UriManager.uri * 'term) list
-
-
-(* INTERNAL REPRESENTATION OF CIC OBJECTS AND TERMS *)
-
-type object_flavour =
- [ `Definition
- | `MutualDefinition
- | `Fact
- | `Lemma
- | `Remark
- | `Theorem
- | `Variant
- | `Axiom
- ]
-
-type object_class =
- [ `Coercion of int
- | `Elim of sort (** elimination principle; if sort is Type, the universe is
- * not relevant *)
- | `Record of (string * bool * int) list (**
- inductive type that encodes a record; the arguments are
- the record fields names and if they are coercions and
- then the coercion arity *)
- | `Projection (** record projection *)
- | `InversionPrinciple (** inversion principle *)
- ]
-
-type attribute =
- [ `Class of object_class
- | `Flavour of object_flavour
- | `Generated
- ]
-*)
type sort =
| Prop
| Set
- | Type of CicUniv.universe
+ | Type of int
| CProp
type implicit_annotation = [ `Closed | `Type | `Hole | `Term ]
type name = Name of string | Anonymous
-type local_context = int * (term list) option (* shift, subst (None means id) *)
+type local_context = int * (term list) option (* shift (0 -> no shift),
+ subst (None means id) *)
and term =
| Rel of int (* DeBruijn index, 1 based *)
- | Meta of int * local_context
+ | Meta of int * string option * local_context
| Appl of term list (* arguments *)
| Prod of name * term * term (* binder, source, target *)
| Lambda of name * term * term (* binder, source, target *)
| LetIn of name * term * term * term (* binder, type, term, body *)
- | Const of UriManager.uri (* uri contains indtypeno/constrno *)
+ | Const of NUriManager.uri (* uri contains indtypeno/constrno *)
| Sort of sort (* sort *)
| Implicit of implicit_annotation (* ... *)
- | MutCase of UriManager.uri * (* ind. uri, *)
+ | MutCase of NUriManager.uri * (* ind. uri, *)
term * term * (* outtype, ind. term *)
term list (* patterns *)
+
and obj =
- Constant of string * term option * term * (* id, body, type, *)
- UriManager.uri list * attribute list (* parameters *)
- | Variable of string * term option * term * (* name, body, type *)
- UriManager.uri list * attribute list (* parameters *)
- | CurrentProof of string * metasenv * term * (* name, conjectures, body, *)
- term * UriManager.uri list * attribute list (* type, parameters *)
- | InductiveDefinition of inductiveType list * (* inductive types, *)
- UriManager.uri list * int * attribute list (* params, left params no *)
+ | Constant of term option * term
+ | InductiveDefinition of inductiveType list (* inductive types, *)
+
and inductiveType =
string * bool * term * (* typename, inductive, arity *)
constructor list (* constructors *)
+
and constructor =
string * term (* id, type *)
-and inductiveFun =
- string * int * term * term (* name, ind. index, type, body *)
-and coInductiveFun =
- string * term * term (* name, type, body *)
-
-(* a metasenv is a list of declarations of metas in declarations *)
-(* order (i.e. [oldest ; ... ; newest]). Older variables can not *)
-(* depend on new ones. *)
-and conjecture = int * context * term
-and metasenv = conjecture list
-and substitution = (int * (context * term * term)) list
-
-
-
-(* a metasenv is a list of declarations of metas in declarations *)
-(* order (i.e. [oldest ; ... ; newest]). Older variables can not *)
-(* depend on new ones. *)
-and annconjecture = id * int * anncontext * annterm
-and annmetasenv = annconjecture list
-
-and annterm =
- ARel of id * id * int * (* idref, DeBrujin index, *)
- string (* binder *)
- | AVar of id * UriManager.uri * (* uri, *)
- annterm explicit_named_substitution (* explicit named subst. *)
- | AMeta of id * int * (annterm option) list (* numeric id, *)
- (* local context *)
- | ASort of id * sort (* sort *)
- | AImplicit of id * implicit_annotation option (* *)
- | ACast of id * annterm * annterm (* value, type *)
- | AProd of id * name * annterm * annterm (* binder, source, target *)
- | ALambda of id * name * annterm * annterm (* binder, source, target *)
- | ALetIn of id * name * annterm * annterm (* binder, term, target *)
- | AAppl of id * annterm list (* arguments *)
- | AConst of id * UriManager.uri * (* uri, *)
- annterm explicit_named_substitution (* explicit named subst. *)
- | AMutInd of id * UriManager.uri * int * (* uri, typeno *)
- annterm explicit_named_substitution (* explicit named subst. *)
- (* typeno is 0 based *)
- | AMutConstruct of id * UriManager.uri * (* uri, *)
- int * int * (* typeno, consno *)
- annterm explicit_named_substitution (* explicit named subst. *)
- (* typeno is 0 based *)
- (* consno is 1 based *)
- | AMutCase of id * UriManager.uri * (* ind. uri, *)
- int * (* ind. typeno, *)
- annterm * annterm * (* outtype, ind. term *)
- annterm list (* patterns *)
- | AFix of id * int * anninductiveFun list (* funno, functions *)
- | ACoFix of id * int * anncoInductiveFun list (* funno, functions *)
-and annobj =
- AConstant of id * id option * string * (* name, *)
- annterm option * annterm * (* body, type, *)
- UriManager.uri list * attribute list (* parameters *)
- | AVariable of id *
- string * annterm option * annterm * (* name, body, type *)
- UriManager.uri list * attribute list (* parameters *)
- | ACurrentProof of id * id *
- string * annmetasenv * (* name, conjectures, *)
- annterm * annterm * UriManager.uri list * (* body,type,parameters *)
- attribute list
- | AInductiveDefinition of id *
- anninductiveType list * (* inductive types , *)
- UriManager.uri list * int * attribute list (* parameters,n ind. pars*)
-and anninductiveType =
- id * string * bool * annterm * (* typename, inductive, arity *)
- annconstructor list (* constructors *)
-and annconstructor =
- string * annterm (* id, type *)
-and anninductiveFun =
- id * string * int * annterm * annterm (* name, ind. index, type, body *)
-and anncoInductiveFun =
- id * string * annterm * annterm (* name, type, body *)
-and annotation =
- string
-
-and context_entry = (* A declaration or definition *)
- Decl of term
- | Def of term * term option (* body, type (if known) *)
-
-and hypothesis =
- (name * context_entry) option (* None means no more accessible *)
-
-and context = hypothesis list
-
-and anncontext_entry = (* A declaration or definition *)
- ADecl of annterm
- | ADef of annterm
-
-and annhypothesis =
- id * (name * anncontext_entry) option (* None means no more accessible *)
-
-and anncontext = annhypothesis list
-;;
-
-type lazy_term =
- context -> metasenv -> CicUniv.universe_graph ->
- term * metasenv * CicUniv.universe_graph
-
-type anntarget =
- Object of annobj (* if annobj is a Constant, this is its type *)
- | ConstantBody of annobj
- | Term of annterm
- | Conjecture of annconjecture
- | Hypothesis of annhypothesis
-
-module CicHash =
- Hashtbl.Make
- (struct
- type t = term
- let equal = (==)
- let hash = Hashtbl.hash_param 100 1000
- end)
-;;
* http://cs.unibo.it/helm/.
*)
-(* $Id$ *)
+exception IllFormedUri of string Lazy.t;;
-(*
- * "cic:/a/b/c.con" => ("cic:/a/b/c.con", id )
- * "cic:/a/b/c.ind#xpointer(1/1)" => ("cic:/a/b/c.con#xpointer(1/1)", id)
- * "cic:/a/b/c.ind#xpointer(1/1/1)" => ("cic:/a/b/c.con#xpointer(1/1/1)", id)
- *)
-
-let fresh_id =
- let id = ref 0 in
- function () ->
- incr id;
- !id
-
-(* (uriwithxpointer, uniqueid)
- * where uniqueid is used to build a set of uri *)
-type uri = string * int;;
-
-let eq uri1 uri2 =
- uri1 == uri2
-;;
+(* order, uri, (type, constructor) *)
+type uri = private Uri of int * string * (int * int option ) option
-let string_of_uri (uri,_) =
- uri
+let eq (Uri(_,x1,x2)) (Uri(_,y1,y2)) = x1 = y1 && x2 = y2;;
-let name_of_uri (uri, _) =
- let xpointer_offset =
- try String.rindex uri '#' with Not_found -> String.length uri - 1
- in
- let index1 = String.rindex_from uri xpointer_offset '/' + 1 in
- let index2 = String.rindex uri '.' in
- String.sub uri index1 (index2 - index1)
-
-let nameext_of_uri (uri, _) =
- let xpointer_offset, mah =
- try String.rindex uri '#', 0 with Not_found -> String.length uri - 1, 1
- in
- let index1 = String.rindex_from uri xpointer_offset '/' + 1 in
- String.sub uri index1 (xpointer_offset - index1 + mah)
-
-let buri_of_uri (uri,_) =
- let xpointer_offset =
- try String.rindex uri '#' with Not_found -> String.length uri - 1
- in
- let index = String.rindex_from uri xpointer_offset '/' in
- String.sub uri 0 index
-
-module OrderedStrings =
- struct
- type t = string
- let compare (s1 : t) (s2 : t) = compare s1 s2
- end
+let string_of_uri = function
+ | Uri (_,s,None) -> s
+ | Uri (_,s,Some (i,None)) ->
+ s ^ "#xpointer(1/" ^ string_of_int (i+1) ^ ")"
+ | Uri (_,s,Some (i, Some k)) ->
+ s ^ "#xpointer(1/" ^ string_of_int (i+1) ^ "/" ^ string_of_int k ^ ")"
;;
-module MapStringsToUri = Map.Make(OrderedStrings);;
-
-(* Invariant: the map is the identity function,
- * i.e.
- * let str' = (MapStringsToUri.find str !set_of_uri) in
- * str' == (MapStringsToUri.find str' !set_of_uri)
- *)
-let set_of_uri = ref MapStringsToUri.empty;;
-
-exception IllFormedUri of string;;
-
-let _dottypes = ".types"
-let _types = "types",5
-let _dotuniv = ".univ"
-let _univ = "univ",4
-let _dotann = ".ann"
-let _ann = "ann",3
-let _var = "var",3
-let _dotbody = ".body"
-let _con = "con",3
-let _ind = "ind",3
-let _xpointer = "#xpointer(1/"
-let _con3 = "con"
-let _var3 = "var"
-let _ind3 = "ind"
-let _ann3 = "ann"
-let _univ4 = "univ"
-let _types5 = "types"
-let _xpointer8 = "xpointer"
-let _cic5 = "cic:/"
-
-let is_malformed suri =
- try
- if String.sub suri 0 5 <> _cic5 then true
- else
- let len = String.length suri - 5 in
- let last5 = String.sub suri len 5 in
- let last4 = String.sub last5 1 4 in
- let last3 = String.sub last5 2 3 in
- if last3 = _con3 || last3 = _var3 || last3 = _ind3 ||
- last3 = _ann3 || last5 = _types5 || last5 = _dotbody ||
- last4 = _univ4 then
- false
- else
- try
- let index = String.rindex suri '#' + 1 in
- let xptr = String.sub suri index 8 in
- if xptr = _xpointer8 then
- false
- else
- true
- with Not_found -> true
- with Invalid_argument _ -> true
-
-(* hash conses an uri *)
-let uri_of_string suri =
- try
- MapStringsToUri.find suri !set_of_uri
- with Not_found ->
- if is_malformed suri then
- raise (IllFormedUri suri)
- else
- let new_uri = suri, fresh_id () in
- set_of_uri := MapStringsToUri.add suri new_uri !set_of_uri;
- new_uri
-
-
-let strip_xpointer ((uri,_) as olduri) =
- try
- let index = String.rindex uri '#' in
- let no_xpointer = String.sub uri 0 index in
- uri_of_string no_xpointer
- with
- Not_found -> olduri
-
-let clear_suffix uri ?(pat2="",0) pat1 =
- try
- let index = String.rindex uri '.' in
- let index' = index + 1 in
- let suffix = String.sub uri index' (String.length uri - index') in
- if fst pat1 = suffix || fst pat2 = suffix then
- String.sub uri 0 index
- else
- uri
- with
- Not_found -> assert false
-
-let has_suffix uri (pat,n) =
- try
- let suffix = String.sub uri (String.length uri - n) n in
- pat = suffix
- with
- Not_found -> assert false
-
-
-let cicuri_of_uri (uri, _) = uri_of_string (clear_suffix uri ~pat2:_types _ann)
-
-let annuri_of_uri (uri , _) = uri_of_string ((clear_suffix uri _ann) ^ _dotann)
-
-let uri_is_annuri (uri, _) = has_suffix uri _ann
-
-let uri_is_var (uri, _) = has_suffix uri _var
-
-let uri_is_con (uri, _) = has_suffix uri _con
-
-let uri_is_ind (uri, _) = has_suffix uri _ind
-
-let bodyuri_of_uri (uri, _) =
- if has_suffix uri _con then
- Some (uri_of_string (uri ^ _dotbody))
- else
- None
-;;
-
-(* these are bugged!
- * we should remove _types, _univ, _ann all toghether *)
-let innertypesuri_of_uri (uri, _) =
- uri_of_string ((clear_suffix uri _types) ^ _dottypes)
-;;
-let univgraphuri_of_uri (uri,_) =
- uri_of_string ((clear_suffix uri _univ) ^ _dotuniv)
-;;
-
-
-let uri_of_uriref (uri, _) typeno consno =
- let typeno = typeno + 1 in
- let suri =
- match consno with
- | None -> Printf.sprintf "%s%s%d)" uri _xpointer typeno
- | Some n -> Printf.sprintf "%s%s%d/%d)" uri _xpointer typeno n
- in
- uri_of_string suri
-
-let compare (_,id1) (_,id2) = id1 - id2
-
-module OrderedUri =
-struct
- type t = uri
- let compare = compare (* the one above, not Pervasives.compare *)
-end
-
-module UriSet = Set.Make (OrderedUri)
-
-(*
-module OrderedUriPair =
-struct
- type t = uri * uri
- let compare (u11, u12) (u21, u22) =
- match compare u11 u21 with
- | 0 -> compare u12 u22
- | x -> x
-end
-
-module UriPairSet = Set.Make (OrderedUriPair)
-*)
-
-module HashedUri =
-struct
- type t = uri
- let equal = eq
- let hash = snd
-end
-
-module UriHashtbl = Hashtbl.Make (HashedUri)
-
-