proof of criteria for progress in multithreaded environment

Upload: koyag

Post on 21-Feb-2018

217 views

Category:

Documents


0 download

TRANSCRIPT

  • 7/24/2019 Proof of criteria for progress in multithreaded environment

    1/3

    e93?o

    MAlxrAK

    a1.rr-

    {"A.-,iO

    wrub,J

    axol^*io .

    hz-1wtew't^h

    1".

    +*,

    )o**e*n

    ,

    Er{*y^

    +W

    Cit

    =

    ;

    whitu+% ;:);

    Exib,

    19

    t4

    'o,

    :

    L*

    Lf.

    F*+"

    *+ v'*ra(''b,

    +1"4

    PrVte-

  • 7/24/2019 Proof of criteria for progress in multithreaded environment

    2/3

    c3330

    @

    MA,NAK

    irtJc

    Ve

    C'rgi

    rr.

    pO+l^

    @

    )-

    t

    "rz^f

    A

    '

    We-

    r,nr^E*

    ^l^a,v.

    'tts

    &tt*;

    ry.

    hu

    (tn

    =)

    n

    &

    (fg

    =

    r)

    ->

    Nn

    ({"

    =o)

    G;

    r,r^

    +1"t fu^

    ft^

    =

    ,)

    o,,^t

    ,o

    (f*

    =

    )

    c'-v'

    L^ avduzzJ' tr'"o

    ffirt"*

    uT

    ,

    w

    lg^to-

    +I^-

    $tl^';ry

    '

    lr^

    tf^

    =D

    ru"

    fg

    =,)

    4

    n^

    ({,

    =')

    -->

    wu(f

    u=o)

    +

    ka

    Us

    =o)

    @

    1.,,

    t{

    =

    )

    -->

    w^

    ({^

    -Tl^g

    pract-tau^

    ayrzf>

    t

    wr

    -t

    @

    +

    gL,,ul^

    l-)^t

    ,

    -f\4

    A-lld'

    +

    A'/v

    +-t

    r.

    ^/1,

    +-"b

    Iv.L

    .4-.

    Au;,

    bo+a

    vrnt

    strt+tv

    ,

    qlnt L1;^

    h^R

    ).

    yrat

    {--\

    t"o

    (fu

    =

    l)

    Ko

    fu

    4)

    R;

    (f,

    =o)

    +

    cs^

    + *^

    (to

    =

    o)

    v,,/

    d)

    w,

    (f,

    =)t

    Rg

    4i,1''

    n"

    Ga

    =o)

    +

    Les'7uu

    U,

    =o)

    ry

    ,

    csA it' til^J*Lts- f""'-' ++L sttt

    sl'^bwn^h

    ;4

    Vt/s

  • 7/24/2019 Proof of criteria for progress in multithreaded environment

    3/3

    fD

    d v

    Stt'rtb

    (599

    o

    MAINAK

    u,rlh

    O

    L,'a

    #

    t-t^^

    N"tt^"';*

    '

    Ns({=r)

    4

    R*(f^=r)-

    R^

    ({B

    @

    \rote

    +f-h wL

    r-,usb

    k

    ^

    (fo

    =l)

    l-

    RB

    fA

    =,

    --

    h/A

    fo

    =

    o) +

    x"

    (fo

    =oJ

    lrora)-.r^n

    fef^

    r"it?.

    a

    &

    (f"

    Cea

    a

    wo

    (f^

    =")

    )

    N^

    6^

    I

    t,u

    6

    UU t,

    Latl

    c3o

    a*'l

    13e

    a/1'-

    t',"t)J'U

    f*"

    {e'

    bsl*u$Y,

    ff*b

    e#wt

    4

    fr

    a'^)'

    ts

    '' '\

    a+saL\vi*W"A'X'..it '+e-N'.'-TL/uA4b

    ivrwt

    z-f

    ;tb

    ++^>

    yc'+,

    arTt-

    h/A

    Llt

    =4

    -->

    R"

    f^

    =o)

    r]'

    t^/B

    ffu

    =o)

    +

    no

    [4

    =

    o)

    b"Lhry

    b'* $"'t

    el6e'

    /"'t'

    oti-

    +n'

    locahl;

    +'4r

    +\'u/t

    B

    $ra^'en*''

    Poh

    @'

    buvhy

    LL

    sztsn*

    eJ6z

    Y

    of

    +r'

    hodfa?

    t1**

    U\r.tAA A ;[^ @:

    L''

    st^YhYn

    l

    '

    i+

    L*^

    D*'43

    &aw,s

    ,p;';-

    @

    ,.'

    il

    -4

    crr/v^f

    z*auutr',

    i" el''un

    Ld-r'

    Q1ssut*,ry@)'

    {) \ ,-4

    . tn

    -

    r) R^ 1A

    =t\-

    &

    ({"

    =o)

    +

    GA>

    'oa^=o)

    R*

    f^

    :o)'

    >

    wo

    f^

    =r)

    5^

    (fr

    =)'

    &

    [+u

    Ru

    fA

    =o)

    -

    69

    ->

    ws

    (4n

    =

    o)

    h/BUs=) { , R, [fi =r)

    fu4

    ,

    csl

    a'J'

    CSu

    6J/

    t"wret^c-l'+Llsv\nl/$'2

    fuV*t'

    T -rb*'t

    wlan

    eanil,n;2

    @

    )^

    4;t*rL'

    %

    u4>w

    l+A

    pw+.