Springer - Concurrency Theory Episode 2 docx
Springer - Concurrency Theory Episode 2 docx
... right in
Figure 2. 9 as
pick
stick1; B
1
[] pick stick2; B
2
i.e. a philosopher can either pick up stick 1 or stick 2.
2. 3.4 Nondeterminism
Nondeterminism goes hand in hand with concurrency. Because, ... The
main forms are:
(i) i ;
B
1
[] i ; B
2
(ii) i ; B
1
[] x ; B
2
(iii) x ; B
1
[] i ; B
2
(iv) x ; B
1
[] x ; B
2
36 2 Process Calculi: LOTOS
u
x
w
B
Fig. 2. 15. Process I...
Springer - Concurrency Theory Episode 11 docx
... 324
maximal valuation, 368–374
smallest upper bound, 364
Communicating Automata, 23 4 25 0
and process calculi, 24 6 25 0
Communication Protocol (example), 20 ,
52, 20 7, 23 9, 25 2
computation, 381
concurrency, ... (D
1
,D
2
) ∈≈
c
we know
that D
2
a
=⇒⇒ D
2
and (D
1
,D
2
) ∈≈. Hence, Q
2
= hide G in D
2
a
=⇒⇒ Q
2
5
,
Q
2
= hide G in D
2
and because (Q...
Springer - Concurrency Theory Episode 1 pptx
... 22 1
7.1.4 MinorDifferences 22 1
7 .2 CSPandLOTOS 22 2
7 .2. 1 Alphabets 22 2
7 .2. 2 Internal Actions 22 4
7 .2. 3 Choice 22 5
7 .2. 4 Parallelism 22 7
7 .2. 5 Hiding 22 7
Part II
Concurrency Theory – Untimed Models
Preface
In ... 13
Part II Concurrency Theory – Untimed Models
2 Process Calculi: LOTOS 19
2. 1 Introduction 19
2. 2 ExampleSpecifications 20
2. 2.1 ACommunic...
Springer - Concurrency Theory Episode 3 pps
... (P
1
,P
2
), (P
1
,P
1
2
), (P
1
1
,P
2
2
), (P
2
1
,P
3
2
) }
which is depicted in Figure 3.8(i). You should be able to convince yourself
that,
(P
2
1
,P
3
2
), (P
1
1
,P
2
2
), (P
1
,P
1
2
)
are ... concatenation as:
(σ
1
= =⇒ σ
1
.σ
2
= σ
2
) ∧
(σ
2
= =⇒ σ
1
.σ
2
= σ
1
) ∧
(σ
1
= x
1
x
2
x
n
∧ σ
2
= y
1
y
2
y
n
)
=⇒ σ
1
.σ
2
= x
1
x
2
x
n
y
1
y
2
y...
Springer - Concurrency Theory Episode 5 ppt
... underspecified, be-
causewedonothavedatatypesinpbLOTOS.
Var := put ; Var2 Var2 := put ; Var2 [] get ; Var2
NDstack := put ; NDstack2
NDstack2 := put ; NDstack2 [] get; NDstack2 [] get; NDstack
Now, ... trace-refusals characterisations.
❏ P
1
❑
tr
= { , x, xy}
Ref
P
1
()={∅, {y}}
Ref
P
1
(x)={∅, {x}}
Ref
P
1
(xy)=P(L)
❏ P
2
❑
tr
= { , x, xy}
Ref
P
2
()={∅, {y}}
Ref
P
2
(x)={∅, {x}}
Re...
Springer - Concurrency Theory Episode 6 pdf
... pbLOTOS
(DIS.i) :
B
1
a
−→ B
1
B
1
[>B
2
a
−→ B
1
[>B
2
(a = δ)
(DIS.ii) :
B
1
δ
−→ B
1
B
1
[>B
2
δ
−→ B
1
(DIS.iii) :
B
2
a
−→ B
2
B
1
[>B
2
a
−→ B
2
(a ∈ Act ∪{i, δ})
Thus, rule ... stan-
dard LOTOS are feasible, e.g. axiomatisation [28 ]. Such investigations will be
harder with E-LOTOS.
In fact, in some respects, E-LOTOS is running against the tide of...
Springer - Concurrency Theory Episode 9 ppt
... Parallel Com-
position
=
e
f
g
i
x
i
z
[2, 8] 10
x
[3,10]
9
[2, 7]
xz
10
e’
(e,e’)
x
x
w
9
(f,e
’
)
S |[x]| T
[2, 7]
[3,7]
S
[2, 12]
g’
(*,f’)
(g,*)
(*,g’)
|[x]|
T
[2, 12]
f’
w
Fig. 10. 12. Further ... Semantic Models for tLOTOS
(a)
y
2
8
z
2
[8 ,25 ]
18
i
[ 12, 14]
v
(
b
)
2
z
8
y
2
[5,6]
[ 12, 14]
iv
18
x
[8 ,25 ]
w
δ
w
δ
Fig. 10.6. Semantics of Action Prefix
10 .2. 3 .2 Dela...
Springer - Concurrency Theory Episode 10 pdf
... (z>1 ∧ y =2)
∧ (t =0∧ w =0)
∧ ((x =1∧ z =2 y =2 t =0)∨
(x =1∧ z =2 w =1∧ t =0)∨
(y =2 z =2 y =2 t
=0)∨
(y =2 z =2 w =1∧ t =0))
Now, for a state s =[l, v] to be a zeno-timelock local ... for location
vectors, e.g. 1, 3.
12. 4 Zeno-timelocks 369
1
2
y =2
x:=0
x=1
y:=0
x<=1,
y< =2
x<=1,
y< =2
w>3
z:=0
a
b
c
d
3
y =2
e
f
Fig. 12. 14. Zeno-timelocks: Loops, Maximal Valu...
Springer - Concurrency Theory Episode 12 pptx
... 22 1
observational congruence, 22 1
parallel composition, 21 7
retriction and hiding, 22 0
and CSP, 22 2 23 2
alphabets, 22 2
choice, 22 5 22 7
development relations and congru-
ence, 23 0
divergence, 22 8
hiding ... maximal progress, 27 1
and time, 27 1 27 2
in LOTOS, 30–34, 43
and internal actions, 27
nonzenoness, see zeno-timelock
observer, 22 , 23 , 27 , 32, 141, 165
on-th...
Tài liệu Integral Equations and Inverse Theory part 2 docx
... IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 9 92 by Cambridge University Press.Programs Copyright (C) 198 8-1 9 92 by Numerical Recipes Software.
Permission is ... IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5 2 1-4 310 8-5 )
Copyright (C) 198 8-1 9 92 by Cambridge University Press.Programs Copyright (C) 198 8-1 9 92 b...
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