Module Tacred

type evaluable_global_reference =
| EvalVarRef of Names.Id.t
| EvalConstRef of Names.Constant.t

Here the semantics is completely unclear. What does "Hint Unfold t" means when "t" is a parameter? Does the user mean "Unfold X.t" or does she mean "Unfold y" where X.t is later on instantiated with y? I choose the first interpretation (i.e. an evaluable reference is never expanded).

type reduction_tactic_error =
| InvalidAbstraction of Environ.env * Evd.evar_map * EConstr.constr * Environ.env * Type_errors.type_error
exception ReductionTacticError of reduction_tactic_error
Reduction functions associated to tactics.

Evaluable global reference

val is_evaluable : Environ.env -> evaluable_global_reference -> bool
val error_not_evaluable : Names.GlobRef.t -> 'a
val evaluable_of_global_reference : Environ.env -> Names.GlobRef.t -> evaluable_global_reference
val global_of_evaluable_reference : evaluable_global_reference -> Names.GlobRef.t
exception Redelimination

Red (raise user error if nothing reducible)

val try_red_product : Reductionops.reduction_function

Red (raise Redelimination if nothing reducible)

Simpl

Simpl only at the head

Hnf: like whd_simpl but force delta-reduction of constants that do not immediately hide a non reducible fix or cofix

Variant of the above that does not perform nf-βι

Unfold

Fold

Pattern

Rem: Lazy strategies are defined in Reduction

Call by value strategy (uses Closures)

val cbv_betadeltaiota : Reductionops.reduction_function

= cbv_betadeltaiota

reduce_to_atomic_ind env sigma t puts t in the form t'=(I args) with I an inductive definition; returns I and t' or fails with a user error

reduce_to_quantified_ind env sigma t puts t in the form t'=(x1:A1)..(xn:An)(I args) with I an inductive definition; returns I and t' or fails with a user error

Same as reduce_to_quantified_ind but more efficient because it does not return the normalized type.

val reduce_to_quantified_ref : Environ.env -> Evd.evar_map -> Names.GlobRef.t -> EConstr.types -> EConstr.types

reduce_to_quantified_ref env sigma ref t try to put t in the form t'=(x1:A1)..(xn:An)(ref args) and fails with user error if not possible

val reduce_to_atomic_ref : Environ.env -> Evd.evar_map -> Names.GlobRef.t -> EConstr.types -> EConstr.types
val check_privacy : Environ.env -> Names.inductive -> unit

Errors if the inductive is not allowed for pattern-matching. *