Download e-book for kindle: A Survey of Verification Techniques for Parallel Programs by Howard Barringer

By Howard Barringer

ISBN-10: 3540152393

ISBN-13: 9783540152392

ISBN-10: 3540394168

ISBN-13: 9783540394167

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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.

Z(S) . ISoI ISl = ^ ) ISol-1 ) ) ,re=r,=) 0)) A (7. = 0 LLr -~ LZ ^ The introduction interference free. = s = S U L U ¢~ r. of these The v ^ {r~} ILl auxiliary complete 1. v rmn = SO u = ILOI L0 ^ variables non-interference =J ~r,=)) ^ mn < mSn(L) 7, = 0 has now produced proof proofs for the above which are requires the 45 c h e c k i n g o f 70 c o r r e c t n e s s of contradiction - s e e a) below). keen. the formulae. 4) Sl ^ LI ^ ^ gives which = ^ ISol-1 mn ^ s = I < men(L) ^ ^ nut > m n ^ I, = 0 is false as ( s = 0 ^ S= is a n o b v i o u s v 1 ~ = I ) from SI ^ LI ~ =0 a contradiction.

1 Partial Correctness qf BL S O R T We require as precondition and postcondition:pre-BL_SORT e ~en(&n) = ~en(A) = Den(S) = N ^N~O ^ NP0 = 0 ^ Yl, ~ I . _SORT e (Be ~ S¢_i) V/, ~ 2 . n): ¢

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A Survey of Verification Techniques for Parallel Programs by Howard Barringer


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