scyther-proof-0.8.0.0: data/examples/iso9798/isabelle-proofs/isoiec-9798_cert_auto.thy
theory "isoiec-9798_cert_auto"
imports
"ESPLogic"
begin
role A
where "A =
[ Recv ''1'' <| sMV ''B'', sAV ''A'', sMV ''Rb'', sMV ''Text1'' |>
, Recv ''text2'' ( sMV ''Text2'' )
, Send ''2'' <| sAV ''A'', sAV ''P'', sN ''Ra'', sMV ''Rb'', sMV ''B'',
sMV ''Text2''
|>
, Recv ''3'' <| sAV ''P'', sAV ''A'', sMV ''Text5'',
PEnc <| sC ''isoiec_9798_2_6_enc_3_1'', sN ''Ra'', sMV ''Kab'',
sMV ''B'', sMV ''Text4''
|>
( sK ''A'' ''P'' ),
sMV ''TokenPA_for_B''
|>
, Recv ''text4'' <| sMV ''Text6'', sMV ''Text7'' |>
, Send ''4'' <| sAV ''A'', sMV ''B'', sMV ''Text7'', sAV ''P'',
sMV ''TokenPA_for_B'',
PEnc <| sC ''isoiec_9798_2_6_enc_4'', sN ''Rpa'', sMV ''Rb'',
sMV ''Text6''
|>
( sMV ''Kab'' )
|>
, Recv ''5'' <| sMV ''B'', sAV ''A'', sMV ''Text9'',
PEnc <| sC ''isoiec_9798_2_6_enc_5'', sMV ''Rb'', sN ''Rpa'',
sMV ''Text8''
|>
( sMV ''Kab'' )
|>
]"
role Abd
where "Abd =
[ Recv ''1'' <| sMV ''Bbd'', sAV ''Abd'', sMV ''Rb'', sMV ''Text1'' |>
, Recv ''text2'' ( sMV ''Text2'' )
, Send ''2'' <| sAV ''Abd'', sAV ''Pbd'', sN ''Ra'', sMV ''Rb'',
sMV ''Bbd'', sMV ''Text2''
|>
, Recv ''3'' <| sAV ''Pbd'', sAV ''Abd'', sMV ''Text5'',
PEnc <| sC ''isoiec_9798_2_6_enc_3_1'', sN ''Ra'', sMV ''Kab'',
sAV ''Abd'', sMV ''Bbd'', sMV ''Text4''
|>
( sKbd (AVar ''Abd'') (AVar ''Pbd'') ),
sMV ''TokenPA_for_B''
|>
, Recv ''text4'' <| sMV ''Text6'', sMV ''Text7'' |>
, Send ''4'' <| sAV ''Abd'', sMV ''Bbd'', sMV ''Text7'', sAV ''Pbd'',
sMV ''TokenPA_for_B'',
PEnc <| sC ''isoiec_9798_2_6_enc_4'', sN ''Rpa'', sMV ''Rb'',
sMV ''Text6''
|>
( sMV ''Kab'' )
|>
, Recv ''5'' <| sMV ''Bbd'', sAV ''Abd'', sMV ''Text9'',
PEnc <| sC ''isoiec_9798_2_6_enc_5'', sMV ''Rb'', sN ''Rpa'',
sMV ''Text8''
|>
( sMV ''Kab'' )
|>
]"
role B
where "B =
[ Recv ''text1'' ( sMV ''Text1'' )
, Send ''1'' <| sAV ''B'', sAV ''A'', sN ''Rb'', sMV ''Text1'' |>
, Recv ''4'' <| sAV ''A'', sAV ''B'', sMV ''Text7'', sMV ''P'',
PEnc <| sC ''isoiec_9798_2_6_enc_3_2'', sN ''Rb'', sMV ''Kab'',
sAV ''A'', sMV ''Text3''
|>
( PSymK ( sAV ''B'' ) ( sMV ''P'' ) ),
PEnc <| sC ''isoiec_9798_2_6_enc_4'', sMV ''Rpa'', sN ''Rb'',
sMV ''Text6''
|>
( sMV ''Kab'' )
|>
, Recv ''text5'' <| sMV ''Text8'', sMV ''Text9'' |>
, Send ''5'' <| sAV ''B'', sAV ''A'', sMV ''Text9'',
PEnc <| sC ''isoiec_9798_2_6_enc_5'', sN ''Rb'', sMV ''Rpa'',
sMV ''Text8''
|>
( sMV ''Kab'' )
|>
]"
role Bbd
where "Bbd =
[ Recv ''text1'' ( sMV ''Text1'' )
, Send ''1'' <| sAV ''Bbd'', sAV ''Abd'', sN ''Rb'', sMV ''Text1'' |>
, Recv ''4'' <| sAV ''Abd'', sAV ''Bbd'', sMV ''Text7'', sMV ''Pbd'',
PEnc <| sC ''isoiec_9798_2_6_enc_3_2'', sN ''Rb'', sMV ''Kab'',
sAV ''Abd'', sAV ''Bbd'', sMV ''Text3''
|>
( sKbd (AVar ''Bbd'') (MVar ''Pbd'') ),
PEnc <| sC ''isoiec_9798_2_6_enc_4'', sMV ''Rpa'', sN ''Rb'',
sMV ''Text6''
|>
( sMV ''Kab'' )
|>
, Recv ''text5'' <| sMV ''Text8'', sMV ''Text9'' |>
, Send ''5'' <| sAV ''Bbd'', sAV ''Abd'', sMV ''Text9'',
PEnc <| sC ''isoiec_9798_2_6_enc_5'', sN ''Rb'', sMV ''Rpa'',
sMV ''Text8''
|>
( sMV ''Kab'' )
|>
]"
role P
where "P =
[ Recv ''2'' <| sMV ''A'', sAV ''P'', sMV ''Ra'', sMV ''Rb'', sMV ''B'',
sMV ''Text2''
|>
, Recv ''text3'' <| sMV ''Text3'', sMV ''Text4'', sMV ''Text5'' |>
, Send ''3'' <| sAV ''P'', sMV ''A'', sMV ''Text5'',
PEnc <| sC ''isoiec_9798_2_6_enc_3_1'', sMV ''Ra'', sN ''Kab'',
sMV ''B'', sMV ''Text4''
|>
( PSymK ( sMV ''A'' ) ( sAV ''P'' ) ),
PEnc <| sC ''isoiec_9798_2_6_enc_3_2'', sMV ''Rb'', sN ''Kab'',
sMV ''A'', sMV ''Text3''
|>
( PSymK ( sMV ''B'' ) ( sAV ''P'' ) )
|>
]"
role Pbd
where "Pbd =
[ Recv ''2'' <| sMV ''Abd'', sAV ''Pbd'', sMV ''Ra'', sMV ''Rb'',
sMV ''Bbd'', sMV ''Text2''
|>
, Recv ''text3'' <| sMV ''Text3'', sMV ''Text4'', sMV ''Text5'' |>
, Send ''3'' <| sAV ''Pbd'', sMV ''Abd'', sMV ''Text5'',
PEnc <| sC ''isoiec_9798_2_6_enc_3_1'', sMV ''Ra'', sN ''Kab'',
sMV ''Abd'', sMV ''Bbd'', sMV ''Text4''
|>
( sKbd (MVar ''Abd'') (AVar ''Pbd'') ),
PEnc <| sC ''isoiec_9798_2_6_enc_3_2'', sMV ''Rb'', sN ''Kab'',
sMV ''Abd'', sMV ''Bbd'', sMV ''Text3''
|>
( sKbd (MVar ''Bbd'') (AVar ''Pbd'') )
|>
]"
protocol isoiec_9798_2_6
where "isoiec_9798_2_6 = { A, Abd, B, Bbd, P, Pbd }"
locale restricted_isoiec_9798_2_6_state = isoiec_9798_2_6_state
type_invariant typing_2_6 for isoiec_9798_2_6
where "typing_2_6 = mk_typing
[ ((P, ''A''), (KnownT P_2))
, ((Pbd, ''Abd''), (KnownT Pbd_2))
, ((A, ''B''), (KnownT A_1))
, ((P, ''B''), (KnownT P_2))
, ((Abd, ''Bbd''), (KnownT Abd_1))
, ((Pbd, ''Bbd''), (KnownT Pbd_2))
, ((A, ''Kab''), (SumT (KnownT A_3) (NonceT P ''Kab'')))
, ((Abd, ''Kab''), (SumT (KnownT Abd_3) (NonceT Pbd ''Kab'')))
, ((B, ''Kab''), (SumT (KnownT B_4) (NonceT P ''Kab'')))
, ((Bbd, ''Kab''), (SumT (KnownT Bbd_4) (NonceT Pbd ''Kab'')))
, ((B, ''P''), (KnownT B_4))
, ((Bbd, ''Pbd''), (KnownT Bbd_4))
, ((P, ''Ra''), (KnownT P_2))
, ((Pbd, ''Ra''), (KnownT Pbd_2))
, ((A, ''Rb''), (KnownT A_1))
, ((Abd, ''Rb''), (KnownT Abd_1))
, ((P, ''Rb''), (KnownT P_2))
, ((Pbd, ''Rb''), (KnownT Pbd_2))
, ((B, ''Rpa''),
(SumT (KnownT B_4) (SumT (NonceT A ''Rpa'') (NonceT Abd ''Rpa''))))
, ((Bbd, ''Rpa''),
(SumT (KnownT Bbd_4) (SumT (NonceT A ''Rpa'') (NonceT Abd ''Rpa''))))
, ((A, ''Text1''), (KnownT A_1))
, ((Abd, ''Text1''), (KnownT Abd_1))
, ((B, ''Text1''), (KnownT B_text1))
, ((Bbd, ''Text1''), (KnownT Bbd_text1))
, ((A, ''Text2''), (KnownT A_text2))
, ((Abd, ''Text2''), (KnownT Abd_text2))
, ((P, ''Text2''), (KnownT P_2))
, ((Pbd, ''Text2''), (KnownT Pbd_2))
, ((B, ''Text3''), (KnownT B_4))
, ((Bbd, ''Text3''), (KnownT Bbd_4))
, ((P, ''Text3''), (KnownT P_text3))
, ((Pbd, ''Text3''), (KnownT Pbd_text3))
, ((A, ''Text4''), (KnownT A_3))
, ((Abd, ''Text4''), (KnownT Abd_3))
, ((P, ''Text4''), (KnownT P_text3))
, ((Pbd, ''Text4''), (KnownT Pbd_text3))
, ((A, ''Text5''), (KnownT A_3))
, ((Abd, ''Text5''), (KnownT Abd_3))
, ((P, ''Text5''), (KnownT P_text3))
, ((Pbd, ''Text5''), (KnownT Pbd_text3))
, ((A, ''Text6''), (KnownT A_text4))
, ((Abd, ''Text6''), (KnownT Abd_text4))
, ((B, ''Text6''), (KnownT B_4))
, ((Bbd, ''Text6''), (KnownT Bbd_4))
, ((A, ''Text7''), (KnownT A_text4))
, ((Abd, ''Text7''), (KnownT Abd_text4))
, ((B, ''Text7''), (KnownT B_4))
, ((Bbd, ''Text7''), (KnownT Bbd_4))
, ((A, ''Text8''), (KnownT A_5))
, ((Abd, ''Text8''), (KnownT Abd_5))
, ((B, ''Text8''), (KnownT B_text5))
, ((Bbd, ''Text8''), (KnownT Bbd_text5))
, ((A, ''Text9''), (KnownT A_5))
, ((Abd, ''Text9''), (KnownT Abd_5))
, ((B, ''Text9''), (KnownT B_text5))
, ((Bbd, ''Text9''), (KnownT Bbd_text5))
, ((A, ''TokenPA_for_B''), (KnownT A_3))
, ((Abd, ''TokenPA_for_B''), (KnownT Abd_3))
]"
sublocale isoiec_9798_2_6_state < typing_2_6_state
proof -
have "(t,r,s) : approx typing_2_6"
proof(cases rule: reachable_in_approxI_ext
[OF typing_2_6.monoTyp, completeness_cases_rule])
case (A_1_B t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (A_1_Rb t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (A_1_Text1 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (A_3_Kab t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_3_1'', LN ''Ra'' tid0,
s(MV ''Kab'' tid0), s(MV ''B'' tid0), s(MV ''Text4'' tid0)
|}
( K ( s(AV ''A'' tid0) ) ( s(AV ''P'' tid0) ) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (A_3_Text4 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_3_1'', LN ''Ra'' tid0,
s(MV ''Kab'' tid0), s(MV ''B'' tid0), s(MV ''Text4'' tid0)
|}
( K ( s(AV ''A'' tid0) ) ( s(AV ''P'' tid0) ) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (A_3_Text5 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (A_3_TokenPA_for_B t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (A_text4_Text6 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (A_text4_Text7 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (A_5_Text8 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_5'', s(MV ''Rb'' tid0), LN ''Rpa'' tid0,
s(MV ''Text8'' tid0)
|}
( s(MV ''Kab'' tid0) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (A_5_Text9 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Abd_1_Bbd t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Abd_1_Rb t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Abd_1_Text1 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Abd_3_Kab t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_3_1'', LN ''Ra'' tid0,
s(MV ''Kab'' tid0), s(AV ''Abd'' tid0), s(MV ''Bbd'' tid0),
s(MV ''Text4'' tid0)
|}
( Kbd ( s(AV ''Abd'' tid0) ) ( s(AV ''Pbd'' tid0) ) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (Abd_3_Text4 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_3_1'', LN ''Ra'' tid0,
s(MV ''Kab'' tid0), s(AV ''Abd'' tid0), s(MV ''Bbd'' tid0),
s(MV ''Text4'' tid0)
|}
( Kbd ( s(AV ''Abd'' tid0) ) ( s(AV ''Pbd'' tid0) ) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (Abd_3_Text5 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Abd_3_TokenPA_for_B t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Abd_text4_Text6 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Abd_text4_Text7 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Abd_5_Text8 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_5'', s(MV ''Rb'' tid0), LN ''Rpa'' tid0,
s(MV ''Text8'' tid0)
|}
( s(MV ''Kab'' tid0) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (Abd_5_Text9 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (B_4_Kab t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_3_2'', LN ''Rb'' tid0,
s(MV ''Kab'' tid0), s(AV ''A'' tid0), s(MV ''Text3'' tid0)
|}
( K ( s(AV ''B'' tid0) ) ( s(MV ''P'' tid0) ) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (B_4_P t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (B_4_Rpa t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_4'', s(MV ''Rpa'' tid0), LN ''Rb'' tid0,
s(MV ''Text6'' tid0)
|}
( s(MV ''Kab'' tid0) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (B_4_Text3 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_3_2'', LN ''Rb'' tid0,
s(MV ''Kab'' tid0), s(AV ''A'' tid0), s(MV ''Text3'' tid0)
|}
( K ( s(AV ''B'' tid0) ) ( s(MV ''P'' tid0) ) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (B_4_Text6 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_4'', s(MV ''Rpa'' tid0), LN ''Rb'' tid0,
s(MV ''Text6'' tid0)
|}
( s(MV ''Kab'' tid0) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (B_4_Text7 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (B_text5_Text8 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (B_text5_Text9 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Bbd_4_Kab t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_3_2'', LN ''Rb'' tid0,
s(MV ''Kab'' tid0), s(AV ''Abd'' tid0), s(AV ''Bbd'' tid0),
s(MV ''Text3'' tid0)
|}
( Kbd ( s(AV ''Bbd'' tid0) ) ( s(MV ''Pbd'' tid0) ) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (Bbd_4_Pbd t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Bbd_4_Rpa t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_4'', s(MV ''Rpa'' tid0), LN ''Rb'' tid0,
s(MV ''Text6'' tid0)
|}
( s(MV ''Kab'' tid0) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (Bbd_4_Text3 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_3_2'', LN ''Rb'' tid0,
s(MV ''Kab'' tid0), s(AV ''Abd'' tid0), s(AV ''Bbd'' tid0),
s(MV ''Text3'' tid0)
|}
( Kbd ( s(AV ''Bbd'' tid0) ) ( s(MV ''Pbd'' tid0) ) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (Bbd_4_Text6 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
proof(sources! "
Enc {| LC ''isoiec_9798_2_6_enc_4'', s(MV ''Rpa'' tid0), LN ''Rb'' tid0,
s(MV ''Text6'' tid0)
|}
( s(MV ''Kab'' tid0) ) ")
qed (insert facts, ((fastforce intro: event_predOrdI split: if_splits))+)?
next
case (Bbd_4_Text7 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Bbd_text5_Text8 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Bbd_text5_Text9 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (P_2_A t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (P_2_B t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (P_2_Ra t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (P_2_Rb t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (P_2_Text2 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (P_text3_Text3 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (P_text3_Text4 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (P_text3_Text5 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Pbd_2_Abd t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Pbd_2_Bbd t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Pbd_2_Ra t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Pbd_2_Rb t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Pbd_2_Text2 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Pbd_text3_Text3 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Pbd_text3_Text4 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
next
case (Pbd_text3_Text5 t r s tid0) note facts = this
then interpret state: typing_2_6_state t r s
by unfold_locales auto
show ?case using facts
by (fastforce intro: event_predOrdI split: if_splits)
qed
thus "typing_2_6_state t r s" by unfold_locales auto
qed
text{* Prove secrecy of long-term keys. *}
context isoiec_9798_2_6_state begin
(* This rule is unsafe in general, but OK here,
as we are only reasoning about static compromise.
*)
lemma static_longterm_key_reveal[dest!]:
"predOrd t (LKR a) e ==> RLKR a : reveals t"
by (auto intro: compr_predOrdI)
lemma longterm_private_key_secrecy:
assumes facts:
"SK m : knows t"
"RLKR m ~: reveals t"
shows "False"
using facts by (sources "SK m")
lemma longterm_sym_ud_key_secrecy:
assumes facts:
"K m1 m2 : knows t"
"RLKR m1 ~: reveals t"
"RLKR m2 ~: reveals t"
shows "False"
using facts by (sources "K m1 m2")
lemma longterm_sym_bd_key_secrecy:
assumes facts:
"Kbd m1 m2 : knows t"
"RLKR m1 ~: reveals t"
"RLKR m2 ~: reveals t"
"m1 : Agent"
"m2 : Agent"
shows "False"
proof -
from facts
have "KShr (agents {m1, m2}) : knows t"
by (auto simp: Kbd_def)
thus ?thesis using facts
proof (sources "KShr (agents {m1, m2})")
qed (auto simp: agents_def Agent_def)
qed
lemmas ltk_secrecy =
longterm_sym_ud_key_secrecy
longterm_sym_ud_key_secrecy[OF in_knows_predOrd1]
longterm_sym_bd_key_secrecy
longterm_sym_bd_key_secrecy[OF in_knows_predOrd1]
longterm_private_key_secrecy
longterm_private_key_secrecy[OF in_knows_predOrd1]
end
end