ullman-Saraiya

ullman-Saraiya - CS N o tesforLectu re/{/ Sara iya 'sC on...

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Unformatted text preview: CS N o tesforLectu re/{/ Sara iya 'sC on ta inm en tT est C on ta inm en to fCQ 'sisNP-com p leteingen- era l. Sar iaya 'sa lgor ithm isapo lynom ia l-t im etest o f QQ forthecomm oncasetha tnop red- ica teappearsm orethantw iceam ongthesub- goa lso f Q . Theycanappearanynum bero ft im esin Q . Thea lgor ithm isareduct iontoSATand y ie ld sa linear-t im ea lgor ithm . O u ra lgor ithm ism ored irect ,bu tquad ra t ic . Theidea istop ickasubgoa lo f Q ,andcon s ider thecon sequenceso fm app ing ittothetw oposs ib le subgoa lso f Q .F o llowa llcon sequenceso fth is cho ice :subgoa lstha tm u stm aptosubgoa ls ,and var iab lestha tm u stm aptovar iab les . Ifw eknow p ( X ;:::;X n )m u stm apto p ( Y ;:::;Y n ) ,then in fertha teach X i m u st m apto Y i . If p ( X ;:::;X n )isasubgoa lo f Q ,andw e know X i m ap stosom evar iab le Z ,andon ly oneo fthe p-subgoa lso f Q has Z inthe i th com ponen t(or Q on ly has one p-subgoa l) , thenconc lude p ( X ;:::;X n )m ap stoth is subgoa l. O neo...
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This note was uploaded on 02/14/2012 for the course CSE 6590 taught by Professor Kotakoski during the Winter '12 term at York University.

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ullman-Saraiya - CS N o tesforLectu re/{/ Sara iya 'sC on...

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