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spr08moedBsol - !cala oexzt zheih oey`x wlg 1 dl`y :'` sirq...

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Unformatted text preview: !cala oexzt zheih oey`x wlg 1 dl`y :'` sirq L 1 ∈ RE \ R : h M i hlw lr M 1 . L ( M 1 ) = L 1 . y jk M 1 dpekn d`xp : L 1 ∈ RE zgked jynl ,odly ceciwd lr M z`e M lr itxbewiqwld xcqa zepey`xd zepeknd i z` dvixn i d divxhi`a .zxwean dvxd zrvan .`ad crvl zxaer zxg` .zlawn f` ,dly ceciwd z` zlawn M e M ly ceciwd z` zlawny dpekn d`vnp m` .micrv i xzeid lkl :zepekp `ed M ly ceciwde ,micrv i xzeid lkl jez ,jtdle dipyd z` zg` zelawn zepeknd izyy jk M zniiw if` h M i ∈ L 1 m` `id divxhi` lky oeeikn ,z`fd divxhi`l ribz `id . max { i,j } d divxhi`a h M i z` lawz M 1 if` .itxebiqwld xcqa j d ceciwd . h M i ∈ L ( M 1 ) okl .z`f divxhi` iptl zeivxhi` ly iteq xtqn yie .ziteq okle ,jtdle dipyd ly ceciwd z` zg` zelawn M e M y jk M dpekn z`ven `id eay divxhi` zniiw if` h M i ∈ L ( M 1 ) m` . h M i ∈ L 1 . RE a `id ef dty okle L 1 dtyd z` zlawny dpekn ep`xd . L D ≤ L 1 : L D n divwecx zervn`a : L 1 / ∈ R zgked f ( h M i ) = h M i .denk dpere dnvr ly ceciwd lr M z` dvixn hlw lk lr M y jk .d`ln `ide ,zeheyt divlitnew zelert zervn`a aeyigl zpzip divwecxd :divwecxd zetwz . h M i ∈ L 1 okle L 1 ly dxcbdl dni`znd dpeknd z` lawp M 2 = M xear okle dlin lk zlawn M if` h M i ∈ L D m` . h M i / ∈ L 1 okle ,dni`zn M 2 zniiw `l okle L ( M ) = if` h M i / ∈ L D m` L 1 / ∈ R y lawp divwecxd htyn it lr if` L D / ∈ R y oeeikne L D n divwecx ep`xd :'a sirq dpekn `l okle dly ceciwd z` zlawn M 2 y miiwzn M 1 dpekn lkl .dlin lk zlawn xy` M 2 dpeknd lr lkzqp :dgked . L 2 ∈ R . L 2 = Σ * ∈ R okl .(iweg `l ceciw edf m` mb) L 2 a `ed dly ceciwdy miiwzn...
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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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spr08moedBsol - !cala oexzt zheih oey`x wlg 1 dl`y :'` sirq...

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