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Exploring the relations - PowerPoint Presentation

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Exploring the relations - PPT Presentation

between STM and DB consistency conditions Sandeep Hans TransForm Technion Joint work with Hagit Attiya Database vs STM Database STM Beyond Serializability Recoverability Avoiding Cascading Aborts ID: 198792

aca opacity rigorousness strictness opacity aca strictness rigorousness graph stm read vwc aborts reads written complete writes commits database

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Slide1

Exploring the relations between STM and DB consistency conditions

Sandeep

Hans

TransForm

@ Technion

Joint work with

Hagit

AttiyaSlide2

Database vs. STM

Database

STMSlide3

Beyond Serializability

Recoverability

Avoiding Cascading Aborts

Strictness

Rigorousness

[Transactional Information Systems

. Gerhard Weikum, Gottfried

Vossen

.]

[

Concurrency Control and Recovery in Database Systems. Philip A. Bernstein, Vassos Hadzilacos, Nathan Goodman]

RG

ST

ACA

RCSlide4

Problem with AbortsT1

writes

x

.T

2 reads x written by T1

.T2 commits, T1 aborts.

c

2

w

1

(x,1)a1

T1

r

2

(x,1)T

2

RG

ST

ACA

RCSlide5

RecoverabilityT1

writes

x

.T

2 reads x written by T1

.T1 should commit before T2 commits.

c

2

c

1

T1

w

1(x,1)

r

2(x,1)

T2

RG

ST

ACA

RC

[

Hadzilacos

83]Slide6

Problem: Cascading Aborts

c

1

r

2

(x,1)

c

2

a

1

T

1

w

1

(x,1)

T

2

a

2

RG

ST

ACA

RCSlide7

Avoiding Cascading Aborts

T

1

should commit before

T2 commits reads

x.

T1

T

2

w

1(x,1)

r

2(x,1)

c

1

c

2

RG

ST

ACA

RCSlide8

Problem: Undo

T

1

writes x=1

.T2 writes

x=2 and commits.T1 aborts.

w1(x,1)

T

1

T

2

w

2(x,2)

a

1

c

2

RG

ST

ACA

RCSlide9

Strictness No data item is read or

overwritten unless the

transaction that wrote

it has ended.

T

1

w

1

(x,1)

c

1/a1

r2(x,1)

T2

w

3(x,2)

T

3

RG

ST

ACA

RCSlide10

RigorousnessNo data item is read or

overwritten unless the

transaction that

read/wrote it has ended.

T

1

w

1

(x,1)

c

1/a1

r2(x,1)

T2

w

3

(x,2)

T3

c

2

/a

2

RG

ST

ACA

RC

[

Breitbart

,

Georgakopoulos

,

Rusinkiewicz

&

Silberschatz

, 1991]Slide11

STM ConditionsOpacity

Guerraoui and Kapalka

[

PPoPP’08]

Sequential specification of shared objects.Virtual World Consistency

Imbs and Raynal [SIROCCO’09] Causal past of a transaction.Weakest Reasonable ConditionDoherty , Groves,

Luchangco, Moir [REFINE’09]

VWC

Opacity

VWCSlide12

Bridging the Gap

?

RG

ST

ACA

RC

VWC

Opacity

VWCSlide13

T1

T

3

T

2

Opacity Graph (OPG)

w

1

(x,1)

c

1

r

2

(x,1)

r

3

(x,0

)

a

3

w

3

(x,3)

T

0

T

3

T

1

T

2

vis

vis

loc

loc

ww

rf

rw

rf

rt

Theorem: A history

is

opaque

its opacity graph is ACYCLIC

Vertices

Visible (

vis

)

Local (

loc

)

Edges

Real Time (

rt

)

Read From (

rf

)

Write Before (

ww

)

Read Before (

rw

)

[

Principles of Transactional Memory.

Rachid

Guerraoui, Michal Kapalka

 

]Slide14

Opacity Graph for Rigorousness

T

1

T

n

T

2

T

3

Suppose there is a cycle {

T

1

,

T

2

, T

3

,…T

n

}

Four types of edges:

rt

edge: T

i

completes before T

j

rf

,

ww

,

rw

edges, then either

T

j

reads from T

i

T

j

overwrites value written by T

i

T

i

reads a value over written

by

T

j

and

T

i

must complete before T

j

.

T

1

must complete before T

2,

which should complete before

T

3

etc.

T

n

must complete before T

1,

which is not possible

.

Opacity graph of

a rigorous TM history is

ACYCLIC

.Slide15

Opacity and Rigorousness

Opacity graph of a rigorous TM history is ACYCLIC.

Rigorousness ⊆ Opacity

Rigorousness

Opacity

T

1

w

1

(x,1)

c

1

T

2

w

2

(x,2)

r

1

(x,1)

c

2Slide16

T1

What about Strictness?

w

1

(x,1)

c

1

T

2

r

1

(x,1)

c2

T

1

w1(x,1)

c

1

T

2

r

2

(x,1)

T

3

w

3

(x,2)

c

3

w

3

(y,3)

r

2

(y,3)

c

2

Strictness 

Opacity 

Strictness

Opacity

Strictness ⊅ Opacity

Strictness ⊄ OpacitySlide17

A Revised Landscape…

Recoverability

ACA

Strictness

Rigorousness

VWC

OpacitySlide18

Wrap UpMotivation for database and STM consistency conditions is similar yet perspectives differ.

Inclusion relations might change when additional properties are introduced, e.g.,

Update on commit

Liveness

propertiesSlide19

Thank You