diff options
Diffstat (limited to 'kernel/term.ml')
| -rw-r--r-- | kernel/term.ml | 389 |
1 files changed, 37 insertions, 352 deletions
diff --git a/kernel/term.ml b/kernel/term.ml index 0e0af2f59d..4851a9c0d0 100644 --- a/kernel/term.ml +++ b/kernel/term.ml @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2017 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) open Util @@ -11,335 +13,16 @@ open Pp open CErrors open Names open Vars +open Constr -(**********************************************************************) -(** Redeclaration of types from module Constr *) -(**********************************************************************) - -type contents = Sorts.contents = Pos | Null - -type sorts = Sorts.t = - | Prop of contents (** Prop and Set *) - | Type of Univ.universe (** Type *) - +(* Deprecated *) type sorts_family = Sorts.family = InProp | InSet | InType +[@@ocaml.deprecated "Alias for Sorts.family"] -type constr = Constr.t -(** Alias types, for compatibility. *) - -type types = Constr.t -(** Same as [constr], for documentation purposes. *) - -type existential_key = Constr.existential_key -type existential = Constr.existential - -type metavariable = Constr.metavariable - -type case_style = Constr.case_style = - LetStyle | IfStyle | LetPatternStyle | MatchStyle | RegularStyle - -type case_printing = Constr.case_printing = - { ind_tags : bool list; cstr_tags : bool list array; style : case_style } - -type case_info = Constr.case_info = - { ci_ind : inductive; - ci_npar : int; - ci_cstr_ndecls : int array; - ci_cstr_nargs : int array; - ci_pp_info : case_printing - } - -type cast_kind = Constr.cast_kind = - VMcast | NATIVEcast | DEFAULTcast | REVERTcast - -(********************************************************************) -(* Constructions as implemented *) -(********************************************************************) - -type rec_declaration = Constr.rec_declaration -type fixpoint = Constr.fixpoint -type cofixpoint = Constr.cofixpoint -type 'constr pexistential = 'constr Constr.pexistential -type ('constr, 'types) prec_declaration = - ('constr, 'types) Constr.prec_declaration -type ('constr, 'types) pfixpoint = ('constr, 'types) Constr.pfixpoint -type ('constr, 'types) pcofixpoint = ('constr, 'types) Constr.pcofixpoint -type 'a puniverses = 'a Univ.puniverses - -(** Simply type aliases *) -type pconstant = constant puniverses -type pinductive = inductive puniverses -type pconstructor = constructor puniverses - -type ('constr, 'types, 'sort, 'univs) kind_of_term = - ('constr, 'types, 'sort, 'univs) Constr.kind_of_term = - | Rel of int - | Var of Id.t - | Meta of metavariable - | Evar of 'constr pexistential - | Sort of 'sort - | Cast of 'constr * cast_kind * 'types - | Prod of Name.t * 'types * 'types - | Lambda of Name.t * 'types * 'constr - | LetIn of Name.t * 'constr * 'types * 'constr - | App of 'constr * 'constr array - | Const of (constant * 'univs) - | Ind of (inductive * 'univs) - | Construct of (constructor * 'univs) - | Case of case_info * 'constr * 'constr * 'constr array - | Fix of ('constr, 'types) pfixpoint - | CoFix of ('constr, 'types) pcofixpoint - | Proj of projection * 'constr - -type values = Constr.values - -(**********************************************************************) -(** Redeclaration of functions from module Constr *) -(**********************************************************************) - -let set_sort = Sorts.set -let prop_sort = Sorts.prop -let type1_sort = Sorts.type1 -let sorts_ord = Sorts.compare -let is_prop_sort = Sorts.is_prop -let family_of_sort = Sorts.family -let univ_of_sort = Sorts.univ_of_sort -let sort_of_univ = Sorts.sort_of_univ - -(** {6 Term constructors. } *) - -let mkRel = Constr.mkRel -let mkVar = Constr.mkVar -let mkMeta = Constr.mkMeta -let mkEvar = Constr.mkEvar -let mkSort = Constr.mkSort -let mkProp = Constr.mkProp -let mkSet = Constr.mkSet -let mkType = Constr.mkType -let mkCast = Constr.mkCast -let mkProd = Constr.mkProd -let mkLambda = Constr.mkLambda -let mkLetIn = Constr.mkLetIn -let mkApp = Constr.mkApp -let mkConst = Constr.mkConst -let mkProj = Constr.mkProj -let mkInd = Constr.mkInd -let mkConstruct = Constr.mkConstruct -let mkConstU = Constr.mkConstU -let mkIndU = Constr.mkIndU -let mkConstructU = Constr.mkConstructU -let mkConstructUi = Constr.mkConstructUi -let mkCase = Constr.mkCase -let mkFix = Constr.mkFix -let mkCoFix = Constr.mkCoFix - -(**********************************************************************) -(** Aliases of functions from module Constr *) -(**********************************************************************) - -let eq_constr = Constr.equal -let eq_constr_univs = Constr.eq_constr_univs -let leq_constr_univs = Constr.leq_constr_univs -let eq_constr_nounivs = Constr.eq_constr_nounivs - -let kind_of_term = Constr.kind -let compare = Constr.compare -let constr_ord = compare -let fold_constr = Constr.fold -let map_puniverses = Constr.map_puniverses -let map_constr = Constr.map -let map_constr_with_binders = Constr.map_with_binders -let iter_constr = Constr.iter -let iter_constr_with_binders = Constr.iter_with_binders -let compare_constr = Constr.compare_head -let hash_constr = Constr.hash -let hcons_sorts = Sorts.hcons -let hcons_constr = Constr.hcons -let hcons_types = Constr.hcons - -(**********************************************************************) -(** HERE BEGINS THE INTERESTING STUFF *) -(**********************************************************************) - -(**********************************************************************) -(* Non primitive term destructors *) -(**********************************************************************) - -(* Destructor operations : partial functions - Raise [DestKO] if the const has not the expected form *) - -exception DestKO - -(* Destructs a de Bruijn index *) -let destRel c = match kind_of_term c with - | Rel n -> n - | _ -> raise DestKO - -(* Destructs an existential variable *) -let destMeta c = match kind_of_term c with - | Meta n -> n - | _ -> raise DestKO - -let isMeta c = match kind_of_term c with Meta _ -> true | _ -> false - -(* Destructs a variable *) -let destVar c = match kind_of_term c with - | Var id -> id - | _ -> raise DestKO - -(* Destructs a type *) -let isSort c = match kind_of_term c with - | Sort _ -> true - | _ -> false - -let destSort c = match kind_of_term c with - | Sort s -> s - | _ -> raise DestKO - -let rec isprop c = match kind_of_term c with - | Sort (Prop _) -> true - | Cast (c,_,_) -> isprop c - | _ -> false - -let rec is_Prop c = match kind_of_term c with - | Sort (Prop Null) -> true - | Cast (c,_,_) -> is_Prop c - | _ -> false - -let rec is_Set c = match kind_of_term c with - | Sort (Prop Pos) -> true - | Cast (c,_,_) -> is_Set c - | _ -> false - -let rec is_Type c = match kind_of_term c with - | Sort (Type _) -> true - | Cast (c,_,_) -> is_Type c - | _ -> false - -let is_small = Sorts.is_small - -let iskind c = isprop c || is_Type c - -(* Tests if an evar *) -let isEvar c = match kind_of_term c with Evar _ -> true | _ -> false - -let isEvar_or_Meta c = match kind_of_term c with - | Evar _ | Meta _ -> true - | _ -> false - -(* Destructs a casted term *) -let destCast c = match kind_of_term c with - | Cast (t1,k,t2) -> (t1,k,t2) - | _ -> raise DestKO - -let isCast c = match kind_of_term c with Cast _ -> true | _ -> false - - -(* Tests if a de Bruijn index *) -let isRel c = match kind_of_term c with Rel _ -> true | _ -> false -let isRelN n c = - match kind_of_term c with Rel n' -> Int.equal n n' | _ -> false - -(* Tests if a variable *) -let isVar c = match kind_of_term c with Var _ -> true | _ -> false -let isVarId id c = - match kind_of_term c with Var id' -> Id.equal id id' | _ -> false - -(* Tests if an inductive *) -let isInd c = match kind_of_term c with Ind _ -> true | _ -> false - -(* Destructs the product (x:t1)t2 *) -let destProd c = match kind_of_term c with - | Prod (x,t1,t2) -> (x,t1,t2) - | _ -> raise DestKO - -let isProd c = match kind_of_term c with | Prod _ -> true | _ -> false - -(* Destructs the abstraction [x:t1]t2 *) -let destLambda c = match kind_of_term c with - | Lambda (x,t1,t2) -> (x,t1,t2) - | _ -> raise DestKO - -let isLambda c = match kind_of_term c with | Lambda _ -> true | _ -> false - -(* Destructs the let [x:=b:t1]t2 *) -let destLetIn c = match kind_of_term c with - | LetIn (x,b,t1,t2) -> (x,b,t1,t2) - | _ -> raise DestKO - -let isLetIn c = match kind_of_term c with LetIn _ -> true | _ -> false - -(* Destructs an application *) -let destApp c = match kind_of_term c with - | App (f,a) -> (f, a) - | _ -> raise DestKO - -let destApplication = destApp - -let isApp c = match kind_of_term c with App _ -> true | _ -> false - -(* Destructs a constant *) -let destConst c = match kind_of_term c with - | Const kn -> kn - | _ -> raise DestKO - -let isConst c = match kind_of_term c with Const _ -> true | _ -> false - -(* Destructs an existential variable *) -let destEvar c = match kind_of_term c with - | Evar (kn, a as r) -> r - | _ -> raise DestKO - -(* Destructs a (co)inductive type named kn *) -let destInd c = match kind_of_term c with - | Ind (kn, a as r) -> r - | _ -> raise DestKO - -(* Destructs a constructor *) -let destConstruct c = match kind_of_term c with - | Construct (kn, a as r) -> r - | _ -> raise DestKO - -let isConstruct c = match kind_of_term c with Construct _ -> true | _ -> false - -(* Destructs a term <p>Case c of lc1 | lc2 .. | lcn end *) -let destCase c = match kind_of_term c with - | Case (ci,p,c,v) -> (ci,p,c,v) - | _ -> raise DestKO - -let isCase c = match kind_of_term c with Case _ -> true | _ -> false - -let isProj c = match kind_of_term c with Proj _ -> true | _ -> false - -let destProj c = match kind_of_term c with - | Proj (p, c) -> (p, c) - | _ -> raise DestKO - -let destFix c = match kind_of_term c with - | Fix fix -> fix - | _ -> raise DestKO - -let isFix c = match kind_of_term c with Fix _ -> true | _ -> false - -let destCoFix c = match kind_of_term c with - | CoFix cofix -> cofix - | _ -> raise DestKO - -let isCoFix c = match kind_of_term c with CoFix _ -> true | _ -> false - -(******************************************************************) -(* Flattening and unflattening of embedded applications and casts *) -(******************************************************************) - -let decompose_app c = - match kind_of_term c with - | App (f,cl) -> (f, Array.to_list cl) - | _ -> (c,[]) - -let decompose_appvect c = - match kind_of_term c with - | App (f,cl) -> (f, cl) - | _ -> (c,[||]) +type sorts = Sorts.t = + | Prop | Set + | Type of Univ.Universe.t (** Type *) +[@@ocaml.deprecated "Alias for Sorts.t"] (****************************************************************************) (* Functions for dealing with constr terms *) @@ -433,7 +116,7 @@ let rec to_lambda n prod = if Int.equal n 0 then prod else - match kind_of_term prod with + match kind prod with | Prod (na,ty,bd) -> mkLambda (na,ty,to_lambda (n-1) bd) | Cast (c,_,_) -> to_lambda n c | _ -> user_err ~hdr:"to_lambda" (mt ()) @@ -442,7 +125,7 @@ let rec to_prod n lam = if Int.equal n 0 then lam else - match kind_of_term lam with + match kind lam with | Lambda (na,ty,bd) -> mkProd (na,ty,to_prod (n-1) bd) | Cast (c,_,_) -> to_prod n c | _ -> user_err ~hdr:"to_prod" (mt ()) @@ -454,7 +137,7 @@ let it_mkLambda_or_LetIn = List.fold_left (fun c d -> mkLambda_or_LetIn d c) let lambda_applist c l = let rec app subst c l = - match kind_of_term c, l with + match kind c, l with | Lambda(_,_,c), arg::l -> app (arg::subst) c l | _, [] -> substl subst c | _ -> anomaly (Pp.str "Not enough lambda's.") in @@ -466,10 +149,11 @@ let lambda_applist_assum n c l = let rec app n subst t l = if Int.equal n 0 then if l == [] then substl subst t - else anomaly (Pp.str "Not enough arguments.") - else match kind_of_term t, l with + else anomaly (Pp.str "Too many arguments.") + else match kind t, l with | Lambda(_,_,c), arg::l -> app (n-1) (arg::subst) c l | LetIn(_,b,_,c), _ -> app (n-1) (substl subst b::subst) c l + | _, [] -> anomaly (Pp.str "Not enough arguments.") | _ -> anomaly (Pp.str "Not enough lambda/let's.") in app n [] c l @@ -478,7 +162,7 @@ let lambda_appvect_assum n c v = lambda_applist_assum n c (Array.to_list v) (* prod_applist T [ a1 ; ... ; an ] -> (T a1 ... an) *) let prod_applist c l = let rec app subst c l = - match kind_of_term c, l with + match kind c, l with | Prod(_,_,c), arg::l -> app (arg::subst) c l | _, [] -> substl subst c | _ -> anomaly (Pp.str "Not enough prod's.") in @@ -491,10 +175,11 @@ let prod_applist_assum n c l = let rec app n subst t l = if Int.equal n 0 then if l == [] then substl subst t - else anomaly (Pp.str "Not enough arguments.") - else match kind_of_term t, l with + else anomaly (Pp.str "Too many arguments.") + else match kind t, l with | Prod(_,_,c), arg::l -> app (n-1) (arg::subst) c l | LetIn(_,b,_,c), _ -> app (n-1) (substl subst b::subst) c l + | _, [] -> anomaly (Pp.str "Not enough arguments.") | _ -> anomaly (Pp.str "Not enough prod/let's.") in app n [] c l @@ -507,7 +192,7 @@ let prod_appvect_assum n c v = prod_applist_assum n c (Array.to_list v) (* Transforms a product term (x1:T1)..(xn:Tn)T into the pair ([(xn,Tn);...;(x1,T1)],T), where T is not a product *) let decompose_prod = - let rec prodec_rec l c = match kind_of_term c with + let rec prodec_rec l c = match kind c with | Prod (x,t,c) -> prodec_rec ((x,t)::l) c | Cast (c,_,_) -> prodec_rec l c | _ -> l,c @@ -517,7 +202,7 @@ let decompose_prod = (* Transforms a lambda term [x1:T1]..[xn:Tn]T into the pair ([(xn,Tn);...;(x1,T1)],T), where T is not a lambda *) let decompose_lam = - let rec lamdec_rec l c = match kind_of_term c with + let rec lamdec_rec l c = match kind c with | Lambda (x,t,c) -> lamdec_rec ((x,t)::l) c | Cast (c,_,_) -> lamdec_rec l c | _ -> l,c @@ -530,7 +215,7 @@ let decompose_prod_n n = if n < 0 then user_err (str "decompose_prod_n: integer parameter must be positive"); let rec prodec_rec l n c = if Int.equal n 0 then l,c - else match kind_of_term c with + else match kind c with | Prod (x,t,c) -> prodec_rec ((x,t)::l) (n-1) c | Cast (c,_,_) -> prodec_rec l n c | _ -> user_err (str "decompose_prod_n: not enough products") @@ -543,7 +228,7 @@ let decompose_lam_n n = if n < 0 then user_err (str "decompose_lam_n: integer parameter must be positive"); let rec lamdec_rec l n c = if Int.equal n 0 then l,c - else match kind_of_term c with + else match kind c with | Lambda (x,t,c) -> lamdec_rec ((x,t)::l) (n-1) c | Cast (c,_,_) -> lamdec_rec l n c | _ -> user_err (str "decompose_lam_n: not enough abstractions") @@ -555,7 +240,7 @@ let decompose_lam_n n = let decompose_prod_assum = let open Context.Rel.Declaration in let rec prodec_rec l c = - match kind_of_term c with + match kind c with | Prod (x,t,c) -> prodec_rec (Context.Rel.add (LocalAssum (x,t)) l) c | LetIn (x,b,t,c) -> prodec_rec (Context.Rel.add (LocalDef (x,b,t)) l) c | Cast (c,_,_) -> prodec_rec l c @@ -568,7 +253,7 @@ let decompose_prod_assum = let decompose_lam_assum = let rec lamdec_rec l c = let open Context.Rel.Declaration in - match kind_of_term c with + match kind c with | Lambda (x,t,c) -> lamdec_rec (Context.Rel.add (LocalAssum (x,t)) l) c | LetIn (x,b,t,c) -> lamdec_rec (Context.Rel.add (LocalDef (x,b,t)) l) c | Cast (c,_,_) -> lamdec_rec l c @@ -587,7 +272,7 @@ let decompose_prod_n_assum n = if Int.equal n 0 then l,c else let open Context.Rel.Declaration in - match kind_of_term c with + match kind c with | Prod (x,t,c) -> prodec_rec (Context.Rel.add (LocalAssum (x,t)) l) (n-1) c | LetIn (x,b,t,c) -> prodec_rec (Context.Rel.add (LocalDef (x,b,t)) l) (n-1) c | Cast (c,_,_) -> prodec_rec l n c @@ -608,7 +293,7 @@ let decompose_lam_n_assum n = if Int.equal n 0 then l,c else let open Context.Rel.Declaration in - match kind_of_term c with + match kind c with | Lambda (x,t,c) -> lamdec_rec (Context.Rel.add (LocalAssum (x,t)) l) (n-1) c | LetIn (x,b,t,c) -> lamdec_rec (Context.Rel.add (LocalDef (x,b,t)) l) n c | Cast (c,_,_) -> lamdec_rec l n c @@ -624,7 +309,7 @@ let decompose_lam_n_decls n = if Int.equal n 0 then l,c else let open Context.Rel.Declaration in - match kind_of_term c with + match kind c with | Lambda (x,t,c) -> lamdec_rec (Context.Rel.add (LocalAssum (x,t)) l) (n-1) c | LetIn (x,b,t,c) -> lamdec_rec (Context.Rel.add (LocalDef (x,b,t)) l) (n-1) c | Cast (c,_,_) -> lamdec_rec l n c @@ -651,12 +336,12 @@ let strip_lam_n n t = snd (decompose_lam_n n t) Such a term can canonically be seen as the pair of a context of types and of a sort *) -type arity = Context.Rel.t * sorts +type arity = Constr.rel_context * Sorts.t let destArity = let open Context.Rel.Declaration in let rec prodec_rec l c = - match kind_of_term c with + match kind c with | Prod (x,t,c) -> prodec_rec (LocalAssum (x,t) :: l) c | LetIn (x,b,t,c) -> prodec_rec (LocalDef (x,b,t) :: l) c | Cast (c,_,_) -> prodec_rec l c @@ -668,7 +353,7 @@ let destArity = let mkArity (sign,s) = it_mkProd_or_LetIn (mkSort s) sign let rec isArity c = - match kind_of_term c with + match kind c with | Prod (_,_,c) -> isArity c | LetIn (_,b,_,c) -> isArity (subst1 b c) | Cast (c,_,_) -> isArity c @@ -679,13 +364,13 @@ let rec isArity c = (* Experimental, used in Presburger contrib *) type ('constr, 'types) kind_of_type = - | SortType of sorts + | SortType of Sorts.t | CastType of 'types * 'types | ProdType of Name.t * 'types * 'types | LetInType of Name.t * 'constr * 'types * 'types | AtomicType of 'constr * 'constr array -let kind_of_type t = match kind_of_term t with +let kind_of_type t = match kind t with | Sort s -> SortType s | Cast (c,_,t) -> CastType (c, t) | Prod (na,t,c) -> ProdType (na, t, c) |