src/HOLCF/IOA/meta_theory/ioa_package.ML

+(*  Title:      ioa_package.ML
+    ID:         $Id$
+*)
+
+signature IOA_PACKAGE =
+sig
+  val add_ioa: string -> string ->
+		 (string) list -> (string) list -> (string) list ->
+		(string * string) list -> string ->
+		(string * string * (string * string)list) list
+	-> theory -> theory
+ val add_ioa_i : string -> string ->
+                 (string) list -> (string) list -> (string) list ->
+                (string * string) list -> string ->
+                (string * string * (string * string)list) list
+	-> theory -> theory
+ val add_composition : string -> (string)list -> theory -> theory
+ val add_composition_i : string -> (string)list -> theory -> theory
+ val add_hiding : string -> string -> (string)list -> theory -> theory
+ val add_hiding_i : string -> string -> (string)list -> theory -> theory
+ val add_restriction : string -> string -> (string)list -> theory -> theory
+ val add_restriction_i : string -> string -> (string)list -> theory -> theory
+ val add_rename : string -> string -> string -> theory -> theory
+ val add_rename_i : string -> string -> string -> theory -> theory
+end;
+
+structure IoaPackage(* FIXME : IOA_PACKAGE *) =
+struct
+
+local
+
+exception malformed;
+
+(* for usage of hidden function no_attributes of structure Thm : *)
+fun no_attributes x = (x, []);
+
+(* stripping quotes *)
+fun strip [] = [] |
+strip ("\""::r) = strip r |
+strip (a::r) = a :: (strip r);
+fun strip_quote s = implode(strip(explode(s)));
+
+(* used by *_of_varlist *)
+fun extract_first (a,b) = strip_quote a;
+fun extract_second (a,b) = strip_quote b;
+(* following functions producing sth from a varlist *)
+fun comma_list_of_varlist [] = "" |
+comma_list_of_varlist [a] = extract_first a |
+comma_list_of_varlist (a::r) = (extract_first a) ^ "," ^ (comma_list_of_varlist r);
+fun primed_comma_list_of_varlist [] = "" |
+primed_comma_list_of_varlist [a] = (extract_first a) ^ "'" |
+primed_comma_list_of_varlist (a::r) = (extract_first a) ^ "'," ^
+ (primed_comma_list_of_varlist r);
+fun type_product_of_varlist [] = "" |
+type_product_of_varlist [a] = "(" ^ extract_second(a) ^ ")" |
+type_product_of_varlist(a::r) = "(" ^ extract_second(a) ^ ")*" ^ type_product_of_varlist r;
+
+(* listing a list *)
+fun list_elements_of [] = "" |
+list_elements_of (a::r) = a ^ " " ^ (list_elements_of r);
+
+(* extracting type parameters from a type list *)
+(* fun param_tupel thy [] res = res |
+param_tupel thy ((Type(_,l))::r) res = param_tupel thy (l @ r) res |
+param_tupel thy ((TFree(a,_))::r) res = 
+if (a mem res) then (param_tupel thy r res) else (param_tupel thy r (a::res)) |
+param_tupel thy (a::r) res =
+error ("one component of a statetype is a TVar: " ^ (Sign.string_of_typ (sign_of thy) a));
+*)
+
+(* used by constr_list *)
+fun extract_constrs thy [] = [] |
+extract_constrs thy (a::r) =
+let
+fun is_prefix [] s = true
+| is_prefix (p::ps) [] = false
+| is_prefix (p::ps) (x::xs) = (p=x) andalso (is_prefix ps xs);
+fun delete_bold [] = []
+| delete_bold (x::xs) = if (is_prefix ("\^["::"["::"1"::"m"::[]) (x::xs))
+        then (let val (_::_::_::s) = xs in delete_bold s end)
+        else (if (is_prefix ("\^["::"["::"0"::"m"::[]) (x::xs))
+                then  (let val (_::_::_::s) = xs in delete_bold s end)
+                else (x::delete_bold xs));
+fun delete_bold_string s = implode(delete_bold(explode s));
+(* from a constructor term in *.induct (with quantifiers,
+"Trueprop" and ?P stripped away) delivers the head *)
+fun extract_hd (_ $ Abs(_,_,r)) = extract_hd r |
+extract_hd (Const("Trueprop",_) $ r) = extract_hd r |
+extract_hd (Var(_,_) $ r) = extract_hd r |
+extract_hd (a $ b) = extract_hd a |
+extract_hd (Const(s,_)) = s |
+extract_hd _ = raise malformed;
+(* delivers constructor term string from a prem of *.induct *)
+fun extract_constr thy (_ $ Abs(a,T,r)) = extract_constr thy (snd(variant_abs(a,T,r)))|
+extract_constr thy (Const("Trueprop",_) $ r) = extract_constr thy r |
+extract_constr thy (Var(_,_) $ r) =  delete_bold_string(Sign.string_of_term (sign_of thy) r) |
+extract_constr _ _ = raise malformed;
+in
+(extract_hd a,extract_constr thy a) :: (extract_constrs thy r)
+end;
+
+(* delivering list of constructor terms of a datatype *)
+fun constr_list thy atyp =
+let
+fun act_name thy (Type(s,_)) = s |
+act_name _ s = 
+error("malformed action type: " ^ (Sign.string_of_typ (sign_of thy) s));
+fun afpl ("." :: a) = [] |
+afpl [] = [] |
+afpl (a::r) = a :: (afpl r);
+fun unqualify s = implode(rev(afpl(rev(explode s))));
+val q_atypstr = act_name thy atyp;
+val uq_atypstr = unqualify q_atypstr;
+val prem = prems_of (get_thm thy (uq_atypstr ^ ".induct"));
+in
+extract_constrs thy prem
+handle malformed =>
+error("malformed theorem : " ^ uq_atypstr ^ ".induct")
+end;
+
+fun check_for_constr thy atyp (a $ b) =
+let
+fun all_free (Free(_,_)) = true |
+all_free (a $ b) = if (all_free a) then (all_free b) else false |
+all_free _ = false; 
+in 
+if (all_free b) then (check_for_constr thy atyp a) else false
+end |
+check_for_constr thy atyp (Const(a,_)) =
+let
+val cl = constr_list thy atyp;
+fun fstmem a [] = false |
+fstmem a ((f,s)::r) = if (a=f) then true else (fstmem a r)
+in
+if (fstmem a cl) then true else false
+end |
+check_for_constr _ _ _ = false;
+
+(* delivering the free variables of a constructor term *)
+fun free_vars_of (t1 $ t2) = (free_vars_of t1) @ (free_vars_of t2) |
+free_vars_of (Const(_,_)) = [] |
+free_vars_of (Free(a,_)) = [a] |
+free_vars_of _ = raise malformed;
+
+(* making a constructor set from a constructor term (of signature) *)
+fun constr_set_string thy atyp ctstr =
+let
+val trm = #t(rep_cterm(read_cterm (sign_of thy) (ctstr,atyp)));
+val l = free_vars_of trm
+in
+if (check_for_constr thy atyp trm) then
+(if (l=[]) then ("{" ^ ctstr ^ "}")
+else "(UN " ^ (list_elements_of l) ^ ". {" ^ ctstr ^ "})")
+else (raise malformed) 
+handle malformed => 
+error("malformed action term: " ^ (Sign.string_of_term (sign_of thy) trm))
+end;
+
+(* extracting constructor heads *)
+fun constructor_head thy atypstr s =
+let
+fun hd_of (Const(a,_)) = a |
+hd_of (t $ _) = hd_of t |
+hd_of _ = raise malformed;
+val trm = #t(rep_cterm(read_cterm (sign_of thy) (s,#T(rep_ctyp(read_ctyp (sign_of thy) atypstr))) ))
+in
+hd_of trm handle malformed =>
+error("malformed constructor of datatype " ^ atypstr ^ ": " ^ s)
+end;
+fun constructor_head_list _ _ [] = [] |
+constructor_head_list thy atypstr (a::r) =
+ (constructor_head thy atypstr a)::(constructor_head_list thy atypstr r);
+
+(* producing an action set *)
+fun action_set_string thy atyp [] = "{}" |
+action_set_string thy atyp [a] = constr_set_string thy atyp (strip_quote a) |
+action_set_string thy atyp (a::r) = (constr_set_string thy atyp (strip_quote a)) ^
+         " Un " ^ (action_set_string thy atyp r);
+
+(* used by extend *)
+fun pstr s [] = "(" ^ s ^ "' = " ^ s ^ ")" |
+pstr s ((a,b)::r) =
+if (s=a) then ("(" ^ s ^ "' = (" ^ b ^ "))") else (pstr s r);
+fun poststring [] l = "" |
+poststring [(a,b)] l = pstr a l |
+poststring ((a,b)::r) l = (pstr a l) ^ " & " ^ (poststring r l);
+
+(* extends a (action string,condition,assignlist) tupel by a
+(action term,action string,condition,pseudo_condition,bool) tupel, used by extended_list 
+(where bool indicates whether there is a precondition *)
+fun extend thy atyp statetupel (actstr,r,[]) =
+let
+val trm = #t(rep_cterm(read_cterm (sign_of thy) (actstr,atyp)));
+val rtrm = #t(rep_cterm(read_cterm (sign_of thy) (r,Type("bool",[]))));
+val flag = if (rtrm=Const("True",Type("bool",[]))) then false else true
+in
+if (check_for_constr thy atyp trm)
+then (trm,actstr, "(" ^ r ^ ") & " ^ (poststring statetupel []),r,flag)
+else
+error("transition " ^ actstr ^ " is not a pure constructor term")
+end |
+extend thy atyp statetupel (actstr,r,(a,b)::c) =
+let
+fun pseudo_poststring [] = "" |
+pseudo_poststring ((a,b)::[]) = "(" ^ a ^ " = (" ^ b ^ "))" |
+pseudo_poststring ((a,b)::r) = "(" ^ a ^ " = (" ^ b ^ ")) & " ^ (pseudo_poststring r); 
+val trm = #t(rep_cterm(read_cterm (sign_of thy) (actstr,atyp)));
+val rtrm = #t(rep_cterm(read_cterm (sign_of thy) (r,Type("bool",[]))));
+val flag = if (rtrm=Const("True",Type("bool",[]))) then false else true
+in
+if (check_for_constr thy atyp trm) then
+(if ((a="") andalso (b="") andalso (c=[])) then (trm,actstr,r,"True",false)
+(* the case with transrel *)
+ else 
+ (trm,actstr,"(" ^ r ^ ") & " ^ (poststring statetupel ((a,b)::c)),
+	"(" ^ r ^ ") & " ^ (pseudo_poststring ((a,b)::c)),flag))
+else
+error("transition " ^ actstr ^ " is not a pure constructor term")
+end;
+(* used by make_alt_string *) 
+fun extended_list _ _ _ [] = [] |
+extended_list thy atyp statetupel (a::r) =
+	 (extend thy atyp statetupel a) :: (extended_list thy atyp statetupel r);
+
+(* used by write_alts *)
+fun write_alt thy (chead,tr) inp out int [] =
+if (chead mem inp) then
+(
+error("Input action " ^ tr ^ " was not specified")
+) else (
+if (chead mem (out@int)) then
+(writeln("Action " ^ tr ^ " was completedly disabled due to missing specification")) else print("");
+(tr ^ " => False",tr ^ " => False")) |
+write_alt thy (chead,ctrm) inp out int ((a,b,c,d,e)::r) =
+let
+fun hd_of (Const(a,_)) = a |
+hd_of (t $ _) = hd_of t |
+hd_of _ = raise malformed;
+fun occurs_again c [] = false |
+occurs_again c ((a,_,_,_,_)::r) = if (c=(hd_of a)) then true else (occurs_again c r);
+in
+if (chead=(hd_of a)) then 
+(if ((chead mem inp) andalso e) then (
+error("Input action " ^ b ^ " has a precondition")
+) else (if (chead mem (inp@out@int)) then 
+		(if (occurs_again chead r) then (
+error("Two specifications for action: " ^ b)
+		) else (b ^ " => " ^ c,b ^ " => " ^ d))
+	else (
+error("Action " ^ b ^ " is not in automaton signature")
+))) else (write_alt thy (chead,ctrm) inp out int r)
+handle malformed =>
+error ("malformed action term: " ^ (Sign.string_of_term (sign_of thy) a))
+end;
+
+(* used by make_alt_string *)
+fun write_alts thy (a,b) inp out int [] ttr = (a,b) |
+write_alts thy (a,b) inp out int [c] ttr =
+let
+val wa = write_alt thy c inp out int ttr
+in
+ (a ^ (fst wa),b ^ (snd wa))
+end |
+write_alts thy (a,b) inp out int (c::r) ttr =
+let
+val wa = write_alt thy c inp out int ttr
+in
+ write_alts thy (a ^ (fst wa) ^ " | ", b ^ (snd wa) ^ " | ") inp out int r ttr
+end;
+
+fun make_alt_string thy inp out int atyp statetupel trans =
+let
+val cl = constr_list thy atyp;
+val ttr = extended_list thy atyp statetupel trans;
+in
+write_alts thy ("","") inp out int cl ttr
+end;
+
+(* used in gen_add_ioa *)
+fun check_free_primed (Free(a,_)) = 
+let
+val (f::r) = rev(explode a)
+in
+if (f="'") then [a] else []
+end | 
+check_free_primed (a $ b) = ((check_free_primed a) @ (check_free_primed b)) |
+check_free_primed (Abs(_,_,t)) = check_free_primed t |
+check_free_primed _ = [];
+
+fun overlap [] _ = true |
+overlap (a::r) l = if (a mem l) then (
+error("Two occurences of action " ^ a ^ " in automaton signature")
+) else (overlap r l);
+
+(* delivering some types of an automaton *)
+fun aut_type_of thy aut_name =
+let
+fun left_of (( _ $ left) $ _) = left |
+left_of _ = raise malformed;
+val aut_def = concl_of(get_thm thy (aut_name ^ "_def"));
+in
+(#T(rep_cterm(cterm_of (sign_of thy) (left_of aut_def))))
+handle malformed => error ("malformed_theorem : " ^ aut_name ^ "_def")
+end;
+
+fun act_type_of thy (Type(pair1,(Type(pair_asig,(Type(actionset,[acttyp])::_))::_))) = acttyp |
+act_type_of thy t = error ("could not extract action type of following automaton type:\n" ^
+(Sign.string_of_typ (sign_of thy) t));
+fun st_type_of thy (Type(pair1,_::(Type(pair2,Type(initial_set,[statetyp])::_))::_)) = statetyp |
+st_type_of thy t = error ("could not extract state type of following automaton type:\n" ^
+(Sign.string_of_typ (sign_of thy) t));
+
+fun comp_st_type_of thy [a] = st_type_of thy (aut_type_of thy a) |
+comp_st_type_of thy (a::r) = Type("*",[st_type_of thy (aut_type_of thy a), comp_st_type_of thy r]) |
+comp_st_type_of _ _ = error "empty automaton list";
+
+(* checking consistency of action types (for composition) *)
+fun check_ac thy (a::r) =
+let
+fun ch_f_a thy acttyp [] = acttyp |
+ch_f_a thy acttyp (a::r) =
+let
+val auttyp = aut_type_of thy a;
+val ac = (act_type_of thy auttyp);
+in
+if (ac=acttyp) then (ch_f_a thy acttyp r) else (error "A")
+end;
+val auttyp = aut_type_of thy a;
+val acttyp = (act_type_of thy auttyp);
+in
+ch_f_a thy acttyp r
+end |
+check_ac _ [] = error "empty automaton list";
+
+fun clist [] = "" |
+clist [a] = a |
+clist (a::r) = a ^ " || " ^ (clist r);
+
+(* gen_add_ioa *)
+
+fun gen_add_ioa prep_term automaton_name action_type inp out int statetupel ini trans thy =
+(writeln("Constructing automaton " ^ automaton_name ^ "...");
+let
+val state_type_string = type_product_of_varlist(statetupel);
+val styp = #T(rep_ctyp (read_ctyp (sign_of thy) state_type_string)) ;
+val state_vars_tupel = "(" ^ (comma_list_of_varlist statetupel) ^ ")";
+val state_vars_primed = "(" ^ (primed_comma_list_of_varlist statetupel) ^ ")";
+val atyp = #T(rep_ctyp (read_ctyp (sign_of thy) action_type));
+val inp_set_string = action_set_string thy atyp inp;
+val out_set_string = action_set_string thy atyp out;
+val int_set_string = action_set_string thy atyp int;
+val inp_head_list = constructor_head_list thy action_type inp;
+val out_head_list = constructor_head_list thy action_type out;
+val int_head_list = constructor_head_list thy action_type int;
+val overlap_flag = ((overlap inp out) andalso (overlap inp int) andalso (overlap out int)); 
+val alt_string = make_alt_string thy inp_head_list out_head_list int_head_list 
+							atyp statetupel trans;
+val thy2 = (thy
+|> ContConsts.add_consts
+[(automaton_name ^ "_initial", "(" ^ state_type_string ^ ")set" ,NoSyn),
+(automaton_name ^ "_asig", "(" ^ action_type ^ ")signature" ,NoSyn),
+(automaton_name ^ "_trans",
+ "(" ^ action_type ^ "," ^ state_type_string ^ ")transition set" ,NoSyn),
+(automaton_name, "(" ^ action_type ^ "," ^ state_type_string ^ ")ioa" ,NoSyn)]
+|> (PureThy.add_defs o map no_attributes) (* old: Attributes.none *)
+[(automaton_name ^ "_initial_def",
+automaton_name ^ "_initial == {" ^ state_vars_tupel ^ "." ^ ini ^ "}"),
+(automaton_name ^ "_asig_def",
+automaton_name ^ "_asig == (" ^
+ inp_set_string ^ "," ^ out_set_string ^ "," ^ int_set_string ^ ")"),
+(automaton_name ^ "_trans_def",
+automaton_name ^ "_trans == {(" ^
+ state_vars_tupel ^ ", act_of_" ^ automaton_name ^ ", " ^ state_vars_primed ^
+"). case act_of_" ^ automaton_name ^ " of " ^ fst(alt_string) ^ "}"),
+(automaton_name ^ "_def",
+automaton_name ^ " == (" ^ automaton_name ^ "_asig, " ^ automaton_name ^
+"_initial, " ^ automaton_name ^ "_trans,{},{})")
+])
+val chk_prime_list = (check_free_primed (#t(rep_cterm(read_cterm (sign_of thy2)
+( "case act_of_" ^ automaton_name ^ " of " ^ snd(alt_string),Type("bool",[]))))));
+in
+(
+if (chk_prime_list = []) then thy2
+else (
+error("Precondition or assignment terms in postconditions contain following primed variables:\n"
+ ^ (list_elements_of chk_prime_list)))
+)
+end)
+
+fun gen_add_composition prep_term automaton_name aut_list thy =
+(writeln("Constructing automaton " ^ automaton_name ^ "...");
+let
+val acttyp = check_ac thy aut_list; 
+val st_typ = comp_st_type_of thy aut_list; 
+val comp_list = clist aut_list;
+in
+thy
+|> ContConsts.add_consts_i
+[(automaton_name,
+Type("*",
+[Type("*",[Type("set",[acttyp]),Type("*",[Type("set",[acttyp]),Type("set",[acttyp])])]),
+ Type("*",[Type("set",[st_typ]),
+  Type("*",[Type("set",[Type("*",[st_typ,Type("*",[acttyp,st_typ])])]),
+   Type("*",[Type("set",[Type("set",[acttyp])]),Type("set",[Type("set",[acttyp])])])])])])
+,NoSyn)]
+|> (PureThy.add_defs o map no_attributes)
+[(automaton_name ^ "_def",
+automaton_name ^ " == " ^ comp_list)]
+end)
+
+fun gen_add_restriction prep_term automaton_name aut_source actlist thy =
+(writeln("Constructing automaton " ^ automaton_name ^ "...");
+let
+val auttyp = aut_type_of thy aut_source;
+val acttyp = act_type_of thy auttyp; 
+val rest_set = action_set_string thy acttyp actlist
+in
+thy
+|> ContConsts.add_consts_i
+[(automaton_name, auttyp,NoSyn)]
+|> (PureThy.add_defs o map no_attributes)
+[(automaton_name ^ "_def",
+automaton_name ^ " == restrict " ^ aut_source ^ " " ^ rest_set)] 
+end)
+fun gen_add_hiding prep_term automaton_name aut_source actlist thy =
+(writeln("Constructing automaton " ^ automaton_name ^ "...");
+let
+val auttyp = aut_type_of thy aut_source;
+val acttyp = act_type_of thy auttyp; 
+val hid_set = action_set_string thy acttyp actlist
+in
+thy
+|> ContConsts.add_consts_i
+[(automaton_name, auttyp,NoSyn)]
+|> (PureThy.add_defs o map no_attributes)
+[(automaton_name ^ "_def",
+automaton_name ^ " == hide " ^ aut_source ^ " " ^ hid_set)] 
+end)
+
+fun ren_act_type_of thy funct =
+let
+(* going into a pseudo-proof-state to enable the use of function read *)
+val _ = goal thy (funct ^ " = t");
+fun arg_typ_of (Type("fun",[a,b])) = a |
+arg_typ_of _ = raise malformed;
+in
+arg_typ_of(#T(rep_cterm(cterm_of (sign_of thy) (read(funct)))))
+handle malformed => error ("could not extract argument type of renaming function term")
+end;
+ 
+fun gen_add_rename prep_term automaton_name aut_source fun_name thy =
+(writeln("Constructing automaton " ^ automaton_name ^ "...");
+let
+val auttyp = aut_type_of thy aut_source;
+val st_typ = st_type_of thy auttyp;
+val acttyp = ren_act_type_of thy fun_name
+in
+thy
+|> ContConsts.add_consts_i
+[(automaton_name,
+Type("*",
+[Type("*",[Type("set",[acttyp]),Type("*",[Type("set",[acttyp]),Type("set",[acttyp])])]),
+ Type("*",[Type("set",[st_typ]),
+  Type("*",[Type("set",[Type("*",[st_typ,Type("*",[acttyp,st_typ])])]),
+   Type("*",[Type("set",[Type("set",[acttyp])]),Type("set",[Type("set",[acttyp])])])])])])
+,NoSyn)]
+|> (PureThy.add_defs o map no_attributes)
+[(automaton_name ^ "_def",
+automaton_name ^ " == rename " ^ aut_source ^ " (" ^ fun_name ^ ")")]
+end)
+
+(* external interfaces *)
+
+fun read_term sg str =
+  read_cterm sg (str, HOLogic.termTVar);
+
+fun cert_term sg tm =
+  cterm_of sg tm handle TERM (msg, _) => error msg;
+
+in
+
+val add_ioa = gen_add_ioa read_term;
+val add_ioa_i = gen_add_ioa cert_term;
+val add_composition = gen_add_composition read_term;
+val add_composition_i = gen_add_composition cert_term;
+val add_hiding = gen_add_hiding read_term;
+val add_hiding_i = gen_add_hiding cert_term;
+val add_restriction = gen_add_restriction read_term;
+val add_restriction_i = gen_add_restriction cert_term;
+val add_rename = gen_add_rename read_term;
+val add_rename_i = gen_add_rename cert_term;
+
+end
+
+end;