Howard Barringer's A Survey of Verification Techniques for Parallel Programs PDF

By Howard Barringer

ISBN-10: 3540152393

ISBN-13: 9783540152392

ISBN-10: 3540394168

ISBN-13: 9783540394167

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Example text

Fa~se>l { ~n( 'cr~t~ca~ L ' ) } cr~ca~s; end . . . . . . . . . . . . . . . . . . . . . we need to be 32 Large t t ~h~e ~rue do beg~n cr~tca~L; ; non_cr~t$CaDL; ~htDe ~rmm do s~tp; end ......................................... Note that we completely intend implementing Large. In order to do unimplemented parts. sections change the so, to obtain the proof a and critical however, Essentially, control we the specify neither variables mutual non-critical must that of rmn and the exclusion sections some of properties critical rmz.

M~n(L); { S u L = SO U L0 mn = mtn(L) Fmn ,= nm= L u rraz ILl = LLI = S0 u L0 ^ s_¢o_1, ^ ILl ^ = IL 01+I ^ } {nu:} u ILoI a ~hen { S u L U { ILl ffi IL o I + I {real; ILl = ornate (mr} m~,n(L) C - { S u ^ m~ ~ L ) ~FUe2 ( S u L u C := s_~o_L ^ ^ L0 } rmx < mSn(L) ^ ^ s_¢o_L ^ := false; = S U L {rr~) ILoI {ran} = S 0 u mn mn ^ S_tO_L < m~n(L) a ^ ~rmm ~ ~ L ^ ) ) e n_~d { LL~ It is r e a s o n a b l y should perhaps check ^ rtm ~ mn } clear them. that these Assuming sequential proofs that the proofs are are valid.

P } u~,~h r u h e n R3. ~hen statements of process S k ~ . : - skJ -~ u¢~h rkJ ~hen BkJ ~ TkJ, I~J~nk L e t p r e ( S k J ) and I(r) b e assertions derived from a p r o o f o f {P} S {Q}. L e t D1 ~ A k (pos~(S~) D2 ~ V k V~ (-~kJ ^ pre(Sk,])) Then if DI ^ £)2 ^ I(r) W exec~t ion begins. , Francez, N. P. A proof system for communicating sequential processes. ~CM TOPLAS, Vol. 2, NO. 3, July 1980, pp. 359-385. R. Formal justification of a proof system for cormnunicating sequential processes, JACM, Vol.

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A Survey of Verification Techniques for Parallel Programs by Howard Barringer

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