Get 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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Extra info for A Survey of Verification Techniques for Parallel Programs

Example text

T : 7"esou~'ce M(A, rdy) [ 1 . q~Dn {I(M) . . . . SEND I I COMP l ^ . . COMP2 II II ... COMPN II . . SEND : : . . . . . . . . . . . . . . . . . ___dd { NPo = j } end { . . . . SORT} . . . . } NPo=N . . . . . . . . . . . . . . . . . the number of ) version in 49 COMP~ :: ~$~h M ( $ ) =hen ~ r d ~ ( $ ) { I(M) ^ ~ r d p ( ~ ) do ^ NP~ = 0 } beg~n NP$ := I end; {Np~ for j = I } ~= I un~ N - ~ do ~fne_Dn ( ~ r d ~ ( ~ ) ^ rdy(~+1)) do beaSn s~ := max(A(~),S~); rdy(~) := #rue; rdy(~+l) NP~ := f o L s e ; := NP~.

Dd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . COMP S :: do beGSn rd11(S) := t r u e end; ~or J := I un~S& N-S ~o___beaSn uS#h M(S), M(S+I) u h e n ~ r d y ( S ) A(S+I) ^ rd~(S+1) := m S n ( A ( ~ ) , B s ) ; ss = = m a z ( a ( S ) , s S ) ; rdy(S) := srue; r~l;(~+1) : = fa~es en~ en___dd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 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 .

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.

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A Survey of Verification Techniques for Parallel Programs by Howard Barringer


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