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003 EG-GiCUC
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040 _aEG-GiCUC
_beng
_cEG-GiCUC
041 0 _aeng
049 _aDeposite
097 _aM.Sc
099 _aCai01.12.17.M.Sc.2015.Mo.O
100 0 _aMohamed Hesham Mohamed Emam Elhalaby
245 1 0 _aOn the weighted partial maximum satis ability problem /
_cMohamed Hesham Mohamed Emam Elhalaby ; Supervised L. F. Abdelal , Rasha Mohamed Shaheen
246 1 5 _aدراسة بعض حالات مسألة التحقق الجزئي للصيغة البولياوية ذات الوزن الاكبر
260 _aCairo :
_bMohamed Hesham Mohamed Emam Elhalaby ,
_c2015
300 _a195 P. :
_bcharts ;
_c25cm
502 _aThesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics
520 _aThis thesis is concerned with the Weighted Partial Maximum Satis- ability problem (WPMax-SAT). Let z = zS{u222A}zH be a Boolean formula such that zS = {(C1, w1), . . . , (Cs, ws)} and zH = {(Cs+1, {u221E}), . . . , (Cs+h, {u221E})}, Ci, (1 {u2264} i {u2264} s + h) are clauses and wj, (1 {u2264} j {u2264} s + h) (called weights) is either a natural number or {u221E}. The WPMax-SAT problem for z is nding an assignment that satis es all the hard clauses and maximizes the sum of the weights of the soft clauses. We dis- cuss four aspects of WPMax-SAT. The rst is the computational complexity of the problem from the classical and the parametrized perspectives. Secondly, the two solving techniques of WPMax-SAT: branch and bound and SAT-based methods. Third, our experimental investigation on a number of selected solvers. Finally, the applica- tions of WPMax-SAT in real-life.
530 _aIssued also as CD
653 4 _aBoolean formula
653 4 _aComputational complexity
653 4 _aSatisfiability
700 0 _aLaila Fafmy Abdelal ,
_eSupervisor
700 0 _aRasha Mohamed Shaheen ,
_eSupervisor
856 _uhttp://172.23.153.220/th.pdf
905 _aNazla
_eRevisor
905 _aSoheir
_eCataloger
942 _2ddc
_cTH
999 _c54413
_d54413