Separate flags for fix/cofix/match reduction and clean reduction function names.

This is a reimplementation of Hugo's PR#117.

We are trying to address the problem that the name of some reduction functions
was not saying what they were doing (e.g. whd_betadeltaiota was doing let-in
reduction). Like PR#117, we are careful that no function changed semantics
without changing the names. Porting existing ML code should be a matter of
renamings a few function calls.

Also, we introduce more precise reduction flags fMATCH, fFIX, fCOFIX
collectively denominated iota.

We renamed the following functions:

Closure.betadeltaiota -> Closure.all
Closure.betadeltaiotanolet -> Closure.allnolet
Reductionops.beta -> Closure.beta
Reductionops.zeta -> Closure.zeta
Reductionops.betaiota -> Closure.betaiota
Reductionops.betaiotazeta -> Closure.betaiotazeta
Reductionops.delta -> Closure.delta
Reductionops.betalet -> Closure.betazeta
Reductionops.betadelta -> Closure.betadeltazeta
Reductionops.betadeltaiota -> Closure.all
Reductionops.betadeltaiotanolet -> Closure.allnolet
Closure.no_red -> Closure.nored
Reductionops.nored -> Closure.nored
Reductionops.nf_betadeltaiota -> Reductionops.nf_all
Reductionops.whd_betadelta -> Reductionops.whd_betadeltazeta
Reductionops.whd_betadeltaiota -> Reductionops.whd_all
Reductionops.whd_betadeltaiota_nolet -> Reductionops.whd_allnolet
Reductionops.whd_betadelta_stack -> Reductionops.whd_betadeltazeta_stack
Reductionops.whd_betadeltaiota_stack -> Reductionops.whd_all_stack
Reductionops.whd_betadeltaiota_nolet_stack -> Reductionops.whd_allnolet_stack
Reductionops.whd_betadelta_state -> Reductionops.whd_betadeltazeta_state
Reductionops.whd_betadeltaiota_state -> Reductionops.whd_all_state
Reductionops.whd_betadeltaiota_nolet_state -> Reductionops.whd_allnolet_state
Reductionops.whd_eta -> Reductionops.shrink_eta
Tacmach.pf_whd_betadeltaiota -> Tacmach.pf_whd_all
Tacmach.New.pf_whd_betadeltaiota -> Tacmach.New.pf_whd_all

And removed the following ones:

Reductionops.whd_betaetalet
Reductionops.whd_betaetalet_stack
Reductionops.whd_betaetalet_state
Reductionops.whd_betadeltaeta_stack
Reductionops.whd_betadeltaeta_state
Reductionops.whd_betadeltaeta
Reductionops.whd_betadeltaiotaeta_stack
Reductionops.whd_betadeltaiotaeta_state
Reductionops.whd_betadeltaiotaeta

They were unused and having some reduction functions perform eta is confusing
as whd_all and nf_all don't do it.

1 files changed, 2 insertions, 2 deletions

diff --git a/stm/lemmas.ml b/stm/lemmas.ml
index 6b78ce72cc..404e104272 100644
--- a/stm/lemmas.ml
+++ b/stm/lemmas.ml
@@ -106,7 +106,7 @@ let find_mutually_recursive_statements thms =
       (* Cofixpoint or fixpoint w/o explicit decreasing argument *)
       | None | Some (None, CStructRec) ->
       let whnf_hyp_hds = map_rel_context_in_env
-        (fun env c -> fst (whd_betadeltaiota_stack env Evd.empty c))
+        (fun env c -> fst (whd_all_stack env Evd.empty c))
         (Global.env()) hyps in
       let ind_hyps =
         List.flatten (List.map_i (fun i decl ->
@@ -120,7 +120,7 @@ let find_mutually_recursive_statements thms =
               []) 0 (List.rev whnf_hyp_hds)) in
       let ind_ccl =
         let cclenv = push_rel_context hyps (Global.env()) in
-        let whnf_ccl,_ = whd_betadeltaiota_stack cclenv Evd.empty ccl in
+        let whnf_ccl,_ = whd_all_stack cclenv Evd.empty ccl in
         match kind_of_term whnf_ccl with
         | Ind ((kn,_ as ind),u) when
               let mind = Global.lookup_mind kn in