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Diffstat (limited to 'pretyping/reductionops.mli')
| -rw-r--r-- | pretyping/reductionops.mli | 190 |
1 files changed, 190 insertions, 0 deletions
diff --git a/pretyping/reductionops.mli b/pretyping/reductionops.mli new file mode 100644 index 00000000..65cdd5cd --- /dev/null +++ b/pretyping/reductionops.mli @@ -0,0 +1,190 @@ +(************************************************************************) +(* v * The Coq Proof Assistant / The Coq Development Team *) +(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(************************************************************************) + +(*i $Id: reductionops.mli,v 1.8.2.2 2004/07/16 19:30:46 herbelin Exp $ i*) + +(*i*) +open Names +open Term +open Univ +open Evd +open Environ +open Closure +(*i*) + +(* Reduction Functions. *) + +exception Elimconst + +type state = constr * constr stack + +type contextual_reduction_function = env -> evar_map -> constr -> constr +type reduction_function = contextual_reduction_function +type local_reduction_function = constr -> constr + +type contextual_stack_reduction_function = + env -> evar_map -> constr -> constr * constr list +type stack_reduction_function = contextual_stack_reduction_function +type local_stack_reduction_function = constr -> constr * constr list + +type contextual_state_reduction_function = + env -> evar_map -> state -> state +type state_reduction_function = contextual_state_reduction_function +type local_state_reduction_function = state -> state + +(* Removes cast and put into applicative form *) +val whd_stack : local_stack_reduction_function + +(* For compatibility: alias for whd\_stack *) +val whd_castapp_stack : local_stack_reduction_function + +(*s Reduction Function Operators *) + +val strong : reduction_function -> reduction_function +val local_strong : local_reduction_function -> local_reduction_function +val strong_prodspine : local_reduction_function -> local_reduction_function +(*i +val stack_reduction_of_reduction : + 'a reduction_function -> 'a state_reduction_function +i*) +val stacklam : (state -> 'a) -> constr list -> constr -> constr stack -> 'a + +(*s Generic Optimized Reduction Function using Closures *) + +val clos_norm_flags : Closure.RedFlags.reds -> reduction_function +(* Same as [(strong whd_beta[delta][iota])], but much faster on big terms *) +val nf_beta : local_reduction_function +val nf_betaiota : local_reduction_function +val nf_betadeltaiota : reduction_function +val nf_evar : evar_map -> constr -> constr + +(* Lazy strategy, weak head reduction *) +val whd_evar : evar_map -> constr -> constr +val whd_beta : local_reduction_function +val whd_betaiota : local_reduction_function +val whd_betaiotazeta : local_reduction_function +val whd_betadeltaiota : contextual_reduction_function +val whd_betadeltaiota_nolet : contextual_reduction_function +val whd_betaetalet : local_reduction_function +val whd_betalet : local_reduction_function + +val whd_beta_stack : local_stack_reduction_function +val whd_betaiota_stack : local_stack_reduction_function +val whd_betaiotazeta_stack : local_stack_reduction_function +val whd_betadeltaiota_stack : contextual_stack_reduction_function +val whd_betadeltaiota_nolet_stack : contextual_stack_reduction_function +val whd_betaetalet_stack : local_stack_reduction_function +val whd_betalet_stack : local_stack_reduction_function + +val whd_state : local_state_reduction_function +val whd_beta_state : local_state_reduction_function +val whd_betaiota_state : local_state_reduction_function +val whd_betaiotazeta_state : local_state_reduction_function +val whd_betadeltaiota_state : contextual_state_reduction_function +val whd_betadeltaiota_nolet_state : contextual_state_reduction_function +val whd_betaetalet_state : local_state_reduction_function +val whd_betalet_state : local_state_reduction_function + +(*s Head normal forms *) + +val whd_delta_stack : stack_reduction_function +val whd_delta_state : state_reduction_function +val whd_delta : reduction_function +val whd_betadelta_stack : stack_reduction_function +val whd_betadelta_state : state_reduction_function +val whd_betadelta : reduction_function +val whd_betaevar_stack : stack_reduction_function +val whd_betaevar_state : state_reduction_function +val whd_betaevar : reduction_function +val whd_betaiotaevar_stack : stack_reduction_function +val whd_betaiotaevar_state : state_reduction_function +val whd_betaiotaevar : reduction_function +val whd_betadeltaeta_stack : stack_reduction_function +val whd_betadeltaeta_state : state_reduction_function +val whd_betadeltaeta : reduction_function +val whd_betadeltaiotaeta_stack : stack_reduction_function +val whd_betadeltaiotaeta_state : state_reduction_function +val whd_betadeltaiotaeta : reduction_function + +val beta_applist : constr * constr list -> constr + +val hnf_prod_app : env -> evar_map -> constr -> constr -> constr +val hnf_prod_appvect : env -> evar_map -> constr -> constr array -> constr +val hnf_prod_applist : env -> evar_map -> constr -> constr list -> constr +val hnf_lam_app : env -> evar_map -> constr -> constr -> constr +val hnf_lam_appvect : env -> evar_map -> constr -> constr array -> constr +val hnf_lam_applist : env -> evar_map -> constr -> constr list -> constr + +val splay_prod : env -> evar_map -> constr -> (name * constr) list * constr +val splay_arity : env -> evar_map -> constr -> (name * constr) list * sorts +val sort_of_arity : env -> constr -> sorts +val decomp_n_prod : + env -> evar_map -> int -> constr -> Sign.rel_context * constr +val splay_prod_assum : + env -> evar_map -> constr -> Sign.rel_context * constr + +type 'a miota_args = { + mP : constr; (* the result type *) + mconstr : constr; (* the constructor *) + mci : case_info; (* special info to re-build pattern *) + mcargs : 'a list; (* the constructor's arguments *) + mlf : 'a array } (* the branch code vector *) + +val reducible_mind_case : constr -> bool +val reduce_mind_case : constr miota_args -> constr + +val find_conclusion : env -> evar_map -> constr -> (constr,constr) kind_of_term +val is_arity : env -> evar_map -> constr -> bool +val is_info_type : env -> evar_map -> unsafe_type_judgment -> bool +val is_info_arity : env -> evar_map -> constr -> bool +(*i Pour l'extraction +val is_type_arity : env -> 'a evar_map -> constr -> bool +val is_info_cast_type : env -> 'a evar_map -> constr -> bool +val contents_of_cast_type : env -> 'a evar_map -> constr -> contents +i*) + +val whd_programs : reduction_function + +(* [reduce_fix] contracts a fix redex if it is actually reducible *) + +type fix_reduction_result = NotReducible | Reduced of state + +val fix_recarg : fixpoint -> constr stack -> (int * constr) option +val reduce_fix : local_state_reduction_function -> fixpoint + -> constr stack -> fix_reduction_result + +(*s Conversion Functions (uses closures, lazy strategy) *) + +type conversion_test = constraints -> constraints + +type conv_pb = + | CONV + | CUMUL + +val pb_is_equal : conv_pb -> bool +val pb_equal : conv_pb -> conv_pb + +val sort_cmp : conv_pb -> sorts -> sorts -> conversion_test +val base_sort_cmp : conv_pb -> sorts -> sorts -> bool + +val is_conv : env -> evar_map -> constr -> constr -> bool +val is_conv_leq : env -> evar_map -> constr -> constr -> bool +val is_fconv : conv_pb -> env -> evar_map -> constr -> constr -> bool + +(*s Special-Purpose Reduction Functions *) + +val whd_meta : (metavariable * constr) list -> constr -> constr +val plain_instance : (metavariable * constr) list -> constr -> constr +val instance : (metavariable * constr) list -> constr -> constr + +(*s Obsolete Reduction Functions *) + +(*i +val hnf : env -> 'a evar_map -> constr -> constr * constr list +i*) +val apprec : state_reduction_function |