F. Model checking software at compile time(13)

Software has been under scrutiny by the verification community from various angles in the recent past. There are two major algorithmic approaches to ensure the correctness of and to eliminate bugs from such systems: software model checking and static analy

OpenSSL(15properties)[min:sec]

3:07[min:sec]

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[MB]35.4

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5:54

[MB]17.9

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piletime,run-timeandmaximummemoryusageforGoannaandNuSMVseparately,

andforthewholetoolchainin

total.

807060

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Figure6.Run-timesofNuSMVwithrespecttosizeofinputsource les.

Figure7.Run-timesofthewholeGoannatoolchainwithrespecttosizeofinputsource les.

time.Infact,itistwiceaslongasthecompilationforonepropertyandfourtimesaslongfor15properties.

Moreover,fortheanalysiswithall15properties,outof602source les,only3.6%tooklongerthan2secondstoanalyzeand99.2%ofall leswereanalyzedinlessthan5seconds.ThetimespentinNuSMVismostlynegligiblewith98.7%ofall lesbeinganalyzedinlessthen2seconds.Theoveralldistributionoftheruntimewithrespecttothe lesizeisshowninFigure6forNuSMVandinFig-ure7fortheoverallanalysistime.Notethatthecomplexityoftheanalysis—andhenceitsruntime—doesnotperfectlycorrelatewiththe lesize,butthe lesizeiseasilyunder-standableandtypicallyameasureofinteresttothedevel-oper.Infact,thecomplexityofourcurrentimplementationismostlydependentonthenumberofvariablesandthesizeoftheCFG.

Thememoryconsumptionforoneaswellasfor15prop-ertieshasbeenconsiderablylowwith35.3and53.3MB,respectively.This tswellintothestandardmemoryofastate-of-the-artmachine,makingthisapproachwellsuitedtobeintegratedintothestandardbuildprocessonadevel-oper’sdesktop

machine.

8

Discussion.ThereareacoupleofpathologicalcaseswhereNuSMVtakesdisproportionallylongandsomewhereGoanna,i.e.,thetreematching,takesverylong.Therearetwosometimesinterrelatedreasonsforthis:Firstofall,Goanna’streematchingisimpactedbythenumberofvariablesinaprogram.Thecurrentimplementationrunsallmatchingoperationsforallpropertiesandallvariablesinseparateruns,creatingaratherlargeoverhead.Forpro-gramswithfewvariables,theimpactisnotsigni cant,how-ever,whenanalyzinghundredsofvariablesitisconsider-able.AnexampleofthiseffectcanbeseeninFigure7,wheretheoutlinerwith70secondsrun-timeiscausedbyasource lethathasalargenumberofvariables.Conse-quently,wehaveplanstooptimizethetreematchinginthefuture.

Secondly,NuSMVisimpactedbythenumberofvari-ablesandthecomplexityofthecontrolstructure.More-over,theBDDencodingplaysamajorrole.AsistypicalinBDD-basedmodelchecking,run-timesaresometimeshardtopredictand uctuatewildlywhenchangingthevariableorder.Anexplicitstatemodelcheckermightbemoresuit-

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