Reductionops (coq-core.Reductionops)

exception Elimconst

val debug_RAKAM : CDebug.t

module CredNative : 
  Primred.RedNative
    with type elem = EConstr.t
     and type args = EConstr.t array
     and type evd = Evd.evar_map
     and type uinstance = EConstr.EInstance.t

module ReductionBehaviour : sig ... end

Machinery to customize the behavior of the reduction

Support for reduction effects

type effect_name = string

val declare_reduction_effect : 
  effect_name ->
  ( Environ.env -> Evd.evar_map -> Constr.constr -> unit ) ->
  unit

val set_reduction_effect : Names.Constant.t -> effect_name -> unit

val reduction_effect_hook : 
  Environ.env ->
  Evd.evar_map ->
  Names.Constant.t ->
  Constr.constr Stdlib.Lazy.t ->
  unit

module Stack : sig ... end

type reduction_function =
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr

type e_reduction_function =
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  Evd.evar_map * EConstr.constr

type stack_reduction_function =
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr * EConstr.constr list

Generic Optimized Reduction Function using Closures

val clos_norm_flags : CClosure.RedFlags.reds -> reduction_function

val clos_whd_flags : CClosure.RedFlags.reds -> reduction_function

val nf_beta : reduction_function

Same as (strong whd_beta[delta][iota]), but much faster on big terms

val nf_betaiota : reduction_function

val nf_betaiotazeta : reduction_function

val nf_zeta : reduction_function

val nf_all : reduction_function

val nf_evar : Evd.evar_map -> EConstr.constr -> EConstr.constr

Lazy strategy, weak head reduction

val whd_evar : Evd.evar_map -> EConstr.constr -> EConstr.constr

val whd_nored : reduction_function

val whd_beta : reduction_function

val whd_betaiota : reduction_function

val whd_betaiotazeta : reduction_function

val whd_all : reduction_function

val whd_allnolet : reduction_function

val whd_betalet : reduction_function

val whd_nored_stack : stack_reduction_function

Removes cast and put into applicative form

val whd_beta_stack : stack_reduction_function

val whd_betaiota_stack : stack_reduction_function

val whd_betaiotazeta_stack : stack_reduction_function

val whd_all_stack : stack_reduction_function

val whd_allnolet_stack : stack_reduction_function

val whd_betalet_stack : stack_reduction_function

Head normal forms

val whd_const : Names.Constant.t -> reduction_function

val whd_delta_stack : stack_reduction_function

val whd_delta : reduction_function

val whd_betadeltazeta_stack : stack_reduction_function

val whd_betadeltazeta : reduction_function

val whd_zeta_stack : stack_reduction_function

val whd_zeta : reduction_function

val shrink_eta : Evd.evar_map -> EConstr.constr -> EConstr.constr

val whd_stack_gen : CClosure.RedFlags.reds -> stack_reduction_function

Various reduction functions

val beta_applist : 
  Evd.evar_map ->
  (EConstr.constr * EConstr.constr list) ->
  EConstr.constr

val hnf_prod_app : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  EConstr.constr

val hnf_prod_appvect : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr array ->
  EConstr.constr

val hnf_prod_applist : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr list ->
  EConstr.constr

val hnf_lam_app : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  EConstr.constr

val hnf_lam_appvect : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr array ->
  EConstr.constr

val hnf_lam_applist : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr list ->
  EConstr.constr

val hnf_decompose_prod : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  (Names.Name.t Context.binder_annot * EConstr.constr) list * EConstr.constr

val hnf_decompose_lambda : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  (Names.Name.t Context.binder_annot * EConstr.constr) list * EConstr.constr

val hnf_decompose_prod_decls : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.rel_context * EConstr.constr

val splay_arity : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  (Names.Name.t Context.binder_annot * EConstr.constr) list * EConstr.ESorts.t

Raises Reduction.NotArity

val sort_of_arity : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.ESorts.t

Raises Reduction.NotArity

val hnf_decompose_prod_n_decls : 
  Environ.env ->
  Evd.evar_map ->
  int ->
  EConstr.constr ->
  EConstr.rel_context * EConstr.constr

Raises Invalid_argument

val hnf_decompose_lambda_n_assum : 
  Environ.env ->
  Evd.evar_map ->
  int ->
  EConstr.constr ->
  EConstr.rel_context * EConstr.constr

Raises Invalid_argument

val dest_arity : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.rel_context * EConstr.ESorts.t

Raises Reduction.NotArity

val reducible_mind_case : Evd.evar_map -> EConstr.constr -> bool

val find_conclusion : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  ( EConstr.constr, EConstr.constr, EConstr.ESorts.t, EConstr.EInstance.t )
    Constr.kind_of_term

val is_arity : Environ.env -> Evd.evar_map -> EConstr.constr -> bool

val is_sort : Environ.env -> Evd.evar_map -> EConstr.types -> bool

val contract_fix : Evd.evar_map -> EConstr.fixpoint -> EConstr.constr

val contract_cofix : Evd.evar_map -> EConstr.cofixpoint -> EConstr.constr

val is_transparent : Environ.env -> Names.Constant.t Names.tableKey -> bool

Querying the kernel conversion oracle: opaque/transparent constants

Conversion Functions (uses closures, lazy strategy)

type conversion_test = Univ.Constraints.t -> Univ.Constraints.t

val is_conv : 
  ?reds:TransparentState.t ->
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  bool

val is_conv_leq : 
  ?reds:TransparentState.t ->
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  bool

val is_fconv : 
  ?reds:TransparentState.t ->
  Evd.conv_pb ->
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  bool

val check_conv : 
  ?pb:Evd.conv_pb ->
  ?ts:TransparentState.t ->
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  bool

check_conv Checks universe constraints only. pb defaults to CUMUL and ts to a full transparent state.

val infer_conv : 
  ?catch_incon:bool ->
  ?pb:Evd.conv_pb ->
  ?ts:TransparentState.t ->
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  Evd.evar_map option

infer_conv Adds necessary universe constraints to the evar map. pb defaults to CUMUL and ts to a full transparent state.

raises UniverseInconsistency
iff catch_incon is set to false, otherwise returns false in that case.

val infer_conv_ustate : 
  ?catch_incon:bool ->
  ?pb:Evd.conv_pb ->
  ?ts:TransparentState.t ->
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  UnivProblem.Set.t option

val vm_infer_conv : 
  ?pb:Evd.conv_pb ->
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  Evd.evar_map option

Conversion with inference of universe constraints

val native_infer_conv : 
  ?pb:Evd.conv_pb ->
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  Evd.evar_map option

val infer_conv_gen : 
  ( Evd.conv_pb ->
    l2r:bool ->
    Evd.evar_map ->
    TransparentState.t ->
    ( Constr.constr, Evd.evar_map ) Conversion.generic_conversion_function ) ->
  ?catch_incon:bool ->
  ?pb:Evd.conv_pb ->
  ?ts:TransparentState.t ->
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.constr ->
  Evd.evar_map option

infer_conv_gen behaves like infer_conv but is parametrized by a conversion function. Used to pretype vm and native casts.

val check_hyps_inclusion : 
  Environ.env ->
  Evd.evar_map ->
  Names.GlobRef.t ->
  Constr.named_context ->
  unit

Typeops.check_hyps_inclusion but handles evars in the environment.

Heuristic for Conversion with Evar

type state = EConstr.constr * Stack.t

type state_reduction_function = Environ.env -> Evd.evar_map -> state -> state

val pr_state : Environ.env -> Evd.evar_map -> state -> Pp.t

val whd_nored_state : state_reduction_function

val whd_betaiota_deltazeta_for_iota_state : 
  TransparentState.t ->
  state_reduction_function

val is_head_evar : Environ.env -> Evd.evar_map -> EConstr.constr -> bool

val meta_instance : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr Evd.freelisted ->
  EConstr.constr

Meta-related reduction functions

val inferred_universes : 
  (UGraph.t * Univ.Constraints.t) Conversion.universe_compare

Deprecated

val splay_prod : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  (Names.Name.t Context.binder_annot * EConstr.constr) list * EConstr.constr

val splay_lam : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  (Names.Name.t Context.binder_annot * EConstr.constr) list * EConstr.constr

val splay_prod_assum : 
  Environ.env ->
  Evd.evar_map ->
  EConstr.constr ->
  EConstr.rel_context * EConstr.constr

val splay_prod_n : 
  Environ.env ->
  Evd.evar_map ->
  int ->
  EConstr.constr ->
  EConstr.rel_context * EConstr.constr

val splay_lam_n : 
  Environ.env ->
  Evd.evar_map ->
  int ->
  EConstr.constr ->
  EConstr.rel_context * EConstr.constr