theory Test

imports "Nominal2_Atoms" "Nominal2_Eqvt" "Nominal2_Supp"

begin

atom_decl name

(* tests *)

ML {*

Datatype.datatype_cmd;

Datatype.add_datatype Datatype.default_config;

Primrec.add_primrec_cmd;

Primrec.add_primrec;

Primrec.add_primrec_simple;

*}

section {* test for setting up a primrec on the ML-level *}

section{* Interface for nominal_datatype *}

text {*

Nominal-Datatype-part:

1st Arg: string list  

         ^^^^^^^^^^^

         strings of the types to be defined

2nd Arg: (string list * binding * mixfix * (binding * typ list * mixfix) list) list

         ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

               type(s) to be defined             constructors list

               (ty args, name, syn)              (name, typs, syn)

Binder-Function-part:

3rd Arg: (binding * typ option * mixfix) list 

            binding function(s)           

              to be defined               

            (name, type, syn)             

          the equations of the binding functions

          (Trueprop equations)

*}

text {*****************************************************}

ML {* 

(* nominal datatype parser *)

local

  structure P = OuterParse

in

val _ = OuterKeyword.keyword "bind"

val anno_typ = Scan.option (P.name --| P.$$$ "::") -- P.typ

(* binding specification *)

(* should use and_list *)

val bind_parser = 

  P.enum "," ((P.$$$ "bind" |-- P.term) -- (P.$$$ "in" |-- P.name))

(* datatype parser *)

val dt_parser =

(* function equation parser *)

val fun_parser = 

  Scan.optional (P.$$$ "binder" |-- P.fixes -- SpecParse.where_alt_specs) ([],[])

(* main parser *)

  P.and_list1 dt_parser -- fun_parser

end

*}

(* printing stuff *)

ML {*

fun print_str_option NONE = "NONE"

  | print_str_option (SOME s) = (s:bstring)

fun print_anno_typ lthy (NONE, ty) = Syntax.string_of_typ lthy ty

  | print_anno_typ lthy (SOME x, ty) = x ^ ":" ^ Syntax.string_of_typ lthy ty

fun print_bind (s1, s2) = "bind " ^ s1 ^ " in " ^ s2

fun print_constr lthy (((name, anno_tys), bds), syn) =

  (Binding.name_of name ^ " of " ^ (commas (map (print_anno_typ lthy) anno_tys)) ^ "   "

   ^ (commas (map print_bind bds)) ^ "  "

   ^ (Pretty.str_of (Syntax.pretty_mixfix syn)))

fun print_single_dt lthy (((s2, s3), syn), constrs) =

   ["constructor declaration"]

 @ ["type arguments: "] @ s2 

 @ ["datatype name: ", Binding.name_of s3] 

 @ ["typ mixfix: ", Pretty.string_of (Syntax.pretty_mixfix syn)]

 @ ["constructors: "] @ (map (print_constr lthy) constrs)

 |> separate "\n"

 |> implode

fun print_single_fun_eq lthy (at, s) = 

  ["function equations: ", (Syntax.string_of_term lthy s)] 

  |> separate "\n"

  |> implode

fun print_single_fun_fix lthy (b, _, _) = 

  ["functions: ", Binding.name_of b] 

  |> separate "\n"

  |> implode

fun dt_name (((s2, s3), syn), constrs) = Binding.name_of s3

fun print_dts (dts, (funs, feqs)) lthy =

let

  val _ = warning (implode (separate "\n" (map (print_single_dt lthy) dts)));

  val _ = warning (implode (separate "\n" (map (print_single_fun_fix lthy) funs)));

  val _ = warning (implode (separate "\n" (map (print_single_fun_eq lthy) feqs)));

in

  ()

end

*}

ML {*

fun transp_ty_arg (anno, ty) = ty

fun transp_constr (((constr_name, ty_args), bind), mx) = 

  (constr_name, map transp_ty_arg ty_args, mx)

fun transp_dt (((ty_args, ty_name), mx), constrs) = 

 (ty_args, ty_name, mx, map transp_constr constrs)

*}

ML {*

fun dt_defn dts thy =

let

  val names = map (fn (_, s, _, _) => Binding.name_of s) dts

  val thy' = Datatype.datatype_cmd names dts thy

in

  thy'

end

*}

ML {*

fun fn_defn [] [] lthy = lthy

  | fn_defn funs feqs lthy =

      Function_Fun.add_fun Function_Common.default_config funs feqs false lthy

fun fn_defn_cmd [] [] lthy = lthy

  | fn_defn_cmd funs feqs lthy =

      Function_Fun.add_fun_cmd Function_Common.default_config funs feqs false lthy

*}

ML {*

fun parse_fun lthy (b, NONE, m) = (b, NONE, m)

  | parse_fun lthy (b, SOME ty, m) = (b, SOME (Syntax.read_typ lthy ty), m)

fun parse_feq lthy (b, t) = (b, Syntax.read_prop lthy t);

fun parse_anno_ty lthy (anno, ty) = (anno, Syntax.read_typ lthy ty);

fun parse_constr lthy (((constr_name, ty_args), bind), mx) =

  (((constr_name, map (parse_anno_ty lthy) ty_args), bind), mx);

fun parse_dt lthy (((ty_args, ty_name), mx), constrs) =

   (((ty_args, ty_name), mx), map (parse_constr lthy) constrs);

*}

ML {*

fun nominal_datatype2_cmd (dt_strs, (fun_strs, feq_strs)) thy =

let

  val thy' = dt_defn (map transp_dt dt_strs) thy

  val lthy = Theory_Target.init NONE thy'

  val lthy' = fn_defn_cmd fun_strs feq_strs lthy

  val funs = map (parse_fun lthy') fun_strs

  val feqs = map (parse_feq lthy') feq_strs

  val dts = map (parse_dt lthy') dt_strs

  val _ = print_dts (dts, (funs, feqs)) lthy'

in

  Local_Theory.exit_global lthy'

end

*}

(* Command Keyword *)

ML {*

let

   val kind = OuterKeyword.thy_decl

in

   OuterSyntax.command "nominal_datatype" "test" kind 

     (parser >> (Toplevel.theory o nominal_datatype2_cmd))

end

*}

text {* example 1 *}

nominal_datatype lam =

  VAR "name"

| APP "lam" "lam"

| LET bp::"bp" t::"lam"   bind "bi bp" in t ("Let _ in _" [100,100] 100)

and bp = 

  BP "name" "lam"  ("_ ::= _" [100,100] 100)

binder

  bi::"bp \<Rightarrow> name set"

where

  "bi (BP x t) = {x}"

print_theorems

text {* examples 2 *}

nominal_datatype trm =

  Var "name"

| App "trm" "trm"

| Lam x::"name" t::"trm"        bind x in t 

| Let p::"pat" "trm" t::"trm"   bind "f p" in t

and pat =

  PN

| PS "name"

| PD "name \<times> name"

binder

  f::"pat \<Rightarrow> name set"

where 

  "f PN = {}"

| "f (PS x) = {x}"

| "f (PD (x,y)) = {x,y}"

nominal_datatype trm2 =

  Var2 "name"

| App2 "trm2" "trm2"

| Lam2 x::"name" t::"trm2"          bind x in t 

| Let2 p::"pat2" "trm2" t::"trm2"   bind "f2 p" in t

and pat2 =

  PN2

| PS2 "name"

| PD2 "pat2 \<times> pat2"

binder

  f2::"pat2 \<Rightarrow> name set"

where 

  "f2 PN2 = {}"

| "f2 (PS2 x) = {x}"

| "f2 (PD2 (p1, p2)) = (f2 p1) \<union> (f2 p2)"

text {* example type schemes *}

datatype ty = 

  Var "name" 

| Fun "ty" "ty"

nominal_datatype tyS = 

  All xs::"name list" ty::"ty" bind xs in ty

end