Test_Solution

# Test_Solution - cala dheih,2008-2009 sxeg'` cren oexzt...

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Unformatted text preview: cala dheih ,2008-2009 sxeg ,'` cren oexzt - zeiaeyigd zxez I wlg 1 dl`y .` :jk zlret w hlw lr M x eli`e , L ( M ∅ ) = ∅-y jk h M x ,M ∅ i bef dpap h M,x i ozpida . HP ≤ L 1 divwecx d`xp . L 1 / ∈ RE .zlawn f` dxvr `id m`e x lr M z` dvixn . L ( M x ) \ L ( M ∅ ) = L ( M x ) ik xexa z`f znerl m` . h M x ,M ∅ i ∈ L 1 okle ibefe iteq | L ( M x ) | = 0 ,hxtae melk zlawn `l M x f` x lr zxver `l M m` . h M x ,M ∅ i / ∈ L 1-y o`kne , | L ( M x ) | = ∞ xnelk ,lkd zlawn M x f` x lr zxver M .a .x`eznk M 2 zniiw M 1 lkl ik d`xp ,jka gkeeidl ick . L 2 = Σ * ∈ R :`ad ote`a zcaery M 2 dpekna opeazp . w 1 ,w 2 / ∈ L ( M 1 )-y jk w 1 ,w 2 milin izy zeniiw f` , | L ( M 1 ) | < 2 m` | L ( M 2 ) \ L ( M 1 ) | = xexiaa .denk dpere w lr M 1 z` dvixn `id ,xg` w hlw lk lr .zlawn M , w 2 e` w 1 hlw lr , w 1 ,w 2 z` dgecy M 2 dpekn xear xacd eze` z` zeyrl ozipe w 1 ,w 2 ∈ L ( M 1 ) yi f` | L ( M 1 ) | ≥ 2 m` . |{ w 1 ,w 2 }| = 2 . | L ( M 1 ) \ L ( M 2 ) | = 2 okle .b . L M ∈ RE \ R . S = { L || L \ L ( M ) | ≥ 2 } dpekzd mr L M / ∈ R ik ziciin d`xn qiix htyn gxkda `l) zedfl ozip w ozpida okle ,drixk `id ,ziteq L ( M )-y oeeikny jkl al miyp L M ∈ RE ik ze`xl ick w milind lk lr zxwean dvxd zrvan :jk zlret L M xear RE zpekny o`kn . w ∈ L ( M ) m` (oaenk , M zvxd ici lr w ∈ L ( M )-y zipye ,(efd dlina lthl dwiqtn `id ,ok m`) w / ∈ L ( M )-y zwcea ziy`x efk dlin lkle ,zeixyt`d .zlawn dpeknd ,dlawa miizqd ipyd alyd w ly mipey mikxr ipy zegtl xear m` .( w lr M zvxd ici lr) 2 dl`y .` oeeikne , q acc-l qpkiz dpekndy i`ceea x ∈ Y lkl ;dirad z` zxzet hlw lkl q acc avnl zqpkp cinzy zil`ieeixh dpekn .wix ote`a miiwzn ipyd i`pzd x ∈ N oi`y .a zqpkp M f` x ∈ L m` :dni`znd dghadd zira z` zxzet mb M dze` . L z` drixkny M zniiw f` L ∈ R m` . x lr q rej-l zqpkp M f` x ∈ L xnelk , x / ∈ L m`e , x lr q acc-l .lirly dfl ddf wenipd - L xear R zpekn mb `id ( L, L ) xear dghadd zira z` zxzety dpeknd ,jetdd oeeika .b x hlw lry M dpap . Y,N-l zeni`znd zepeknd M Y ,M N eidi :`ad ote`a oexztl zpzip dirad f` Y,N ∈ RE m` . q rej-l zqpkp M ,zlawne zxver M N m` . q acc-l zqpkp M ,zlawne zxver...
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## This note was uploaded on 03/12/2011 for the course CS 236343 taught by Professor Bensasson during the Winter '11 term at Technion.

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Test_Solution - cala dheih,2008-2009 sxeg'` cren oexzt...

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