{ 
s:SES
(ActionsDisjoint
(pas:ProtocolAction List. es:EO+(Info). thr:Thread. A:Id.
(pas(thr) Legal(pas) given Private(A) Legal(thr)@A))) }
{ Proof }
Definitions occuring in Statement :
ses-is-protocol-actions: pas(thr),
ses-legal-sequence: Legal(pas) given prvt,
protocol-action: ProtocolAction,
ses-legal-thread: Legal(thr)@A,
ses-thread: Thread,
ses-disjoint: ActionsDisjoint,
ses-private: Private(A),
ses-info: Info,
security-event-structure: SES,
event-ordering+: EO+(Info),
Id: Id,
all: x:A. B[x],
implies: P Q,
list: type List
Definitions :
member: t 
T,
true: True,
equal: s = t,
set: {x:A| B[x]} ,
int: 
,
product: x:A 
B[x],
eclass: EClass(A[eo; e]),
pa-useable: pa-useable(pa),
ses-useable-atoms: UseableAtoms(e),
pair: <a, b>,
list: type List,
function: x:A 
B[x],
all: x:A. B[x],
subtype_rel: A 
r B,
fpf: a:A fp-> B[a],
strong-subtype: strong-subtype(A;B),
exists: 
x:A. B[x],
l_member: (x l),
l_all: (xL.P[x]),
l_contains: A B,
int_seg: {i..j
},
spread: spread def,
assert: 
b,
eq_atom: x =a y,
eq_atom: eq_atom$n(x;y),
ses-is-protocol-action: pa(e),
atom: Atom$n,
Id: Id,
dep-isect: Error :dep-isect,
record+: record+,
event-ordering+: EO+(Info),
void: Void,
false: False,
not: 
A,
ses-disjoint: ActionsDisjoint,
security-event-structure: SES,
less_than: a < b,
implies: P Q,
le: A 
B,
tl: tl(l),
hd: hd(l),
lelt: i j < k,
length: ||as||,
and: P 
Q,
pa-used: pa-used(pa),
ses-used-atoms: UsedAtoms(e),
lambda: 
x.A[x],
from-upto: [n, m),
natural_number: $n,
event_ordering: EO,
universe: Type,
prop: 
,
squash: 
T,
listp: A List
,
combination: Combination(n;T),
map: map(f;as),
string: Error :string,
concat: concat(ll),
ses-private: Private(A),
cons: [car / cdr],
guard: {T},
real: 
,
subtype: S T,
rationals: 
,
ses-act: Act,
es-E: E,
ses-info: Info,
protocol-action: ProtocolAction,
ses-legal-thread: Legal(thr)@A,
ses-legal-sequence: Legal(pas) given prvt,
ses-thread: Thread,
ses-is-protocol-actions: pas(thr),
D: Error :D,
Auto: Error :Auto,
CollapseTHEN: Error :CollapseTHEN,
RepeatFor: Error :RepeatFor,
select: l[i],
Try: Error :Try,
CollapseTHENA: Error :CollapseTHENA,
add: n + m
Lemmas :
ses-is-protocol-action-useable,
ses-legal-thread_wf,
ses-legal-sequence_wf,
ses-is-protocol-actions_wf,
Id_wf,
ses-thread_wf,
event-ordering+_wf,
ses-disjoint_wf,
security-event-structure_wf,
int_seg_wf,
l_contains_wf,
ses-used-atoms_wf,
pa-used_wf,
protocol-action_wf,
select_wf,
ses-info_wf,
event-ordering+_inc,
ses-act_wf,
es-E_wf,
member_wf,
ses-is-protocol-action-used,
ses-is-protocol-action_wf,
int_seg_properties,
ses-private_wf,
concat_wf,
map_wf,
squash_wf,
true_wf,
from-upto_wf,
le_wf,
ses-useable-atoms_wf,
pa-useable_wf
\mforall{}s:SES
(ActionsDisjoint
{}\mRightarrow{} (\mforall{}pas:ProtocolAction List. \mforall{}es:EO+(Info). \mforall{}thr:Thread. \mforall{}A:Id.
(pas(thr) {}\mRightarrow{} Legal(pas) given Private(A) {}\mRightarrow{} Legal(thr)@A)))
Date html generated:
2011_08_17-PM-07_41_26
Last ObjectModification:
2010_09_24-PM-02_38_27
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