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|
(* $Id$ *)
(*i*)
open Pp
open Names
open Term
open Evd
open Environ
(*i*)
(* Flags for profiling reductions. *)
val stats : bool ref
val share : bool ref
(*s Delta implies all consts (both global (= by
[section_path]) and local (= by [Rel] or [Var])), all evars, and letin's.
Rem: reduction of a Rel/Var bound to a term is Delta, but reduction of
a LetIn expression is Letin reduction *)
type red_kind =
| BETA
| DELTA
| ZETA
| EVAR
| IOTA
| CONST of section_path list
| CONSTBUT of section_path list
| VAR of identifier
(* Sets of reduction kinds. *)
type reds
val no_red : reds
val beta_red : reds
val betaiota_red : reds
val betadeltaiota_red : reds
val unfold_red : section_path -> reds
(* Tests if a reduction kind is set *)
val red_set : reds -> red_kind -> bool
(* Adds a reduction kind to a set *)
val red_add : reds -> red_kind -> reds
(* Gives the constant list *)
val red_get_const : reds -> bool * (section_path list)
(*s Reduction function specification. *)
type red_mode = UNIFORM | SIMPL | WITHBACK
type flags = red_mode * reds
(* [(UNIFORM,r)] == [r]-reduce in any context.
[(SIMPL,r)] == bdi-reduce under cases or fix, [r] otherwise
(like hnf does).
[(WITHBACK,r)] == internal use: means we are under a case
or in rec. arg. of fix. *)
val flags_under : flags -> flags
val red_top : flags -> red_kind -> bool
val red_under : flags -> red_kind -> bool
val no_flag : flags
val beta : flags
val betaiota : flags
val betadeltaiota : flags
val hnf_flags : flags
val unfold_flags : section_path -> flags
(*s Explicit substitutions of type ['a]. [ESID n] = %n~END = bounded identity.
[CONS(t,S)] = $S.t$ i.e. parallel substitution. [SHIFT(n,S)] =
$(\uparrow n~o~S)$ i.e. terms in S are relocated with n vars.
[LIFT(n,S)] = $(\%n~S)$ stands for $((\uparrow n~o~S).n...1)$. *)
type 'a subs =
| ESID of int
| CONS of 'a * 'a subs
| SHIFT of int * 'a subs
| LIFT of int * 'a subs
(*s Call by value functions *)
type cbv_value =
| VAL of int * constr
| LAM of name * constr * constr * cbv_value subs
| FIXP of fixpoint * cbv_value subs * cbv_value list
| COFIXP of cofixpoint * cbv_value subs * cbv_value list
| CONSTR of int * (section_path * int) * cbv_value array * cbv_value list
val shift_value : int -> cbv_value -> cbv_value
(*i Private ??
val contract_fixp : cbv_value subs -> fixpoint -> cbv_value subs * constr
i*)
type stack =
| TOP
| APP of cbv_value list * stack
| CASE of constr * constr array * case_info * cbv_value subs * stack
val stack_app : cbv_value list -> stack -> stack
val under_case_stack : stack -> bool
val strip_appl : cbv_value -> stack -> cbv_value * stack
val red_allowed : flags -> stack -> red_kind -> bool
val reduce_const_body :
(cbv_value -> cbv_value) -> cbv_value -> stack -> cbv_value * stack
(*i Private ??
val fixp_reducible :
(cbv_value -> cbv_value) -> flags -> fixpoint -> stack -> bool
i*)
(* normalization of a constr: the two functions to know... *)
type 'a cbv_infos
val create_cbv_infos : flags -> env -> 'a evar_map -> 'a cbv_infos
val cbv_norm : 'a cbv_infos -> constr -> constr
(* recursive functions... *)
val cbv_stack_term : 'a cbv_infos ->
stack -> cbv_value subs -> constr -> cbv_value
val cbv_norm_term : 'a cbv_infos -> cbv_value subs -> constr -> constr
val cbv_norm_more : 'a cbv_infos -> cbv_value subs -> cbv_value -> cbv_value
val norm_head : 'a cbv_infos ->
cbv_value subs -> constr -> stack -> cbv_value * stack
val apply_stack : 'a cbv_infos -> constr -> stack -> constr
val cbv_norm_value : 'a cbv_infos -> cbv_value -> constr
(*s Lazy reduction. *)
type freeze = {
mutable norm: bool;
mutable term: frterm }
and frterm =
| FRel of int
| FAtom of constr
| FCast of freeze * freeze
| FFlex of frreference
| FInd of inductive_path * freeze array
| FConstruct of constructor_path * freeze array
| FApp of freeze * freeze array
| FFix of (int array * int) * (freeze array * name list * freeze array)
* constr array * freeze subs
| FCoFix of int * (freeze array * name list * freeze array)
* constr array * freeze subs
| FCases of case_info * freeze * freeze * freeze array
| FLambda of name * freeze * freeze * constr * freeze subs
| FProd of name * freeze * freeze * constr * freeze subs
| FLetIn of name * freeze * freeze * freeze * constr * freeze subs
| FLIFT of int * freeze
| FFROZEN of constr * freeze subs
and frreference =
| FConst of section_path * freeze array
| FEvar of (existential * freeze subs)
| FVar of identifier
| FFarRel of int
val frterm_of : freeze -> frterm
val is_val : freeze -> bool
val lift_frterm : int -> freeze -> freeze
val lift_freeze : int -> freeze -> freeze
val freeze : freeze subs -> constr -> freeze
val freeze_vect : freeze subs -> constr array -> freeze array
val freeze_list : freeze subs -> constr list -> freeze list
val traverse_term : freeze subs -> constr -> freeze
val lift_term_of_freeze : lift_spec -> freeze -> constr
(* Back to constr *)
val fstrong : (freeze -> freeze) -> lift_spec -> freeze -> constr
val term_of_freeze : freeze -> constr
val applist_of_freeze : freeze array -> constr list
(* contract a substitution *)
val contract_subst : int -> constr -> freeze subs -> freeze -> freeze
(* Global and local constant cache *)
type 'a clos_infos
val create_clos_infos : flags -> env -> 'a evar_map -> 'a clos_infos
val clos_infos_env : 'a clos_infos -> env
(* Calculus of Constructions *)
type fconstr = freeze
val inject : constr -> fconstr
val strip_frterm :
int -> fconstr -> fconstr array list -> int * fconstr * fconstr array
val strip_freeze : fconstr -> int * fconstr * fconstr array
(* Auxiliary functions for (co)fixpoint reduction *)
val contract_fix_vect : frterm -> fconstr
val copy_case : case_info -> fconstr -> fconstr -> fconstr array -> fconstr
(* Iota analysis: reducible ? *)
type case_status =
| CONSTRUCTOR of int * fconstr array
| COFIX of int * int * (fconstr array * name list * fconstr array) *
fconstr array * constr array * freeze subs
| IRREDUCTIBLE
(* Reduction function *)
val norm_val : 'a clos_infos -> fconstr -> constr
val whd_val : 'a clos_infos -> fconstr -> constr
val fhnf: 'a clos_infos -> fconstr -> int * fconstr * fconstr array
val fhnf_apply : 'a clos_infos ->
int -> fconstr -> fconstr array -> int * fconstr * fconstr array
val search_frozen_value : 'a clos_infos -> frreference -> fconstr option
(* recursive functions... *)
val unfreeze : 'a clos_infos -> fconstr -> fconstr
val whnf_frterm : 'a clos_infos -> fconstr -> fconstr
val whnf_term : 'a clos_infos -> fconstr subs -> constr -> fconstr
val whnf_apply : 'a clos_infos -> fconstr -> fconstr array -> fconstr
|
