theory ExCoreHaskell
imports "Parser"
begin

(* core haskell *)

ML {* val _ = recursive := false  *}

atom_decl var
atom_decl tvar

(* there are types, coercion types and regular types list-data-structure *)

nominal_datatype tkind =
  KStar
| KFun "tkind" "tkind"
and ckind =
  CKEq "ty" "ty"
and ty =
  TVar "tvar"
| TC "char"
| TApp "ty" "ty"
| TFun "char" "ty_lst"
| TAll tv::"tvar" "tkind" T::"ty"  bind tv in T
| TEq "ty" "ty" "ty"
and ty_lst =
  TsNil
| TsCons "ty" "ty_lst"
and co =
  CC "char"
| CApp "co" "co"
| CFun "char" "co_lst"
| CAll tv::"tvar" "ckind" C::"co"  bind tv in C
| CEq "co" "co" "co"
| CSym "co"
| CCir "co" "co"
| CLeft "co"
| CRight "co"
| CSim "co"
| CRightc "co"
| CLeftc "co"
| CCoe "co" "co"
and co_lst =
  CsNil
| CsCons "co" "co_lst"
and trm =
  Var "var"
| C "char"
| LAMT tv::"tvar" "tkind" t::"trm" bind tv in t
| LAMC tv::"tvar" "ckind" t::"trm" bind tv in t
| APP "trm" "ty"
| Lam v::"var" "ty" t::"trm"       bind v in t
| App "trm" "trm"
| Let x::"var" "ty" "trm" t::"trm" bind x in t
| Case "trm" "assoc_lst"
| Cast "trm" "ty"                  --"ty is supposed to be a coercion type only"
and assoc_lst =
  ANil
| ACons p::"pat" t::"trm" "assoc_lst" bind "bv p" in t
and pat =
  K "char" "tvtk_lst" "tvck_lst" "vt_lst"
and tvtk_lst =
  TVTKNil
| TVTKCons "tvar" "tkind" "tvtk_lst"
and tvck_lst =
  TVCKNil
| TVCKCons "tvar" "ckind" "tvck_lst"
and vt_lst =
  VTNil
| VTCons "var" "ty" "vt_lst"
binder
    bv :: "pat \<Rightarrow> atom set"
(*and bv_vt :: "vt_lst \<Rightarrow> atom set"
and bv_tvtk :: "tvtk_lst \<Rightarrow> atom set"
and bv_tvck :: "tvck_lst \<Rightarrow> atom set"*)
where
  "bv (K s tvts tvcs vs) = {}" (*(bv_tvtk tvts) \<union> (bv_tvck tvcs) \<union> (bv_vt vs) *)
(*| "bv_vt VTNil = {}"
| "bv_vt (VTCons v k t) = {atom v} \<union> bv_vt t"
| "bv_tvtk TVTKNil = {}"
| "bv_tvtk (TVTKCons v k t) = {atom v} \<union> bv_tvtk t"
| "bv_tvck TVCKNil = {}"
| "bv_tvck (TVCKCons v k t) = {atom v} \<union> bv_tvck t"*)

end