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# Last_Tutorial - 14'qn lebxz(236343 zeiaeyigd zxez(2009...

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Unformatted text preview: 14 'qn lebxz - (236343) zeiaeyigd zxez (2009 aia` '` crenn) 1 dl`y xear (( x i = a ) ∨ ( x j = b )) dxevdn zeiweqt ly AND `ed 2 CNF = weqt :dxcbd . i,j ∈ { 1 ,...,n }-e a,b ∈ { 1 , 2 , 3 } . ϕ = (( x 1 = 1) ∨ ( x 2 = 1)) ∧ (( x 3 = 2) ∨ ( x 1 = 3)) :dnbecl .zeiweqtd lk i`pz z` zwtqn `id m` 2 CNF = weqt zwtqn α ∈ { 1 , 2 , 3 } n dnyd .eze` zwtqny dnyd zniiw m` witq `ed 2 CNF = weqt xear (( x i 6 = a ) ∨ ( x j 6 = b )) dxevdn zeiweqt ly AND `ed 2 CNF 6 = weqt :dxcbd . i,j ∈ { 1 ,...,n }-e a,b ∈ { 1 , 2 , 3 } . ϕ = (( x 1 6 = 1) ∨ ( x 2 6 = 1)) ∧ (( x 3 6 = 2) ∨ ( x 1 6 = 3)) :dnbecl . 2 CNF = xear zewitqd zxcbdl dnbec zewitqd zxcbd . NPC-a e` P-a od m`d ze`ad zetyd xear eraw , P 6 = NP-y dgpda . 3 COL ∈ NPC-e 2 SAT ∈ P ik reci :fnx 2 SAT = = { ϕ = : witq 2 CNF = weqt ϕ = } .1 2 SAT 6 = = { ϕ 6 = : witq 2 CNF 6 = weqt ϕ 6 = } .2 oexzt .` . 2 CNF = ∈ P ik ziciin raep dpnn , 2 CNF = ≤ p 2 SAT zinepilet divwecx d`xp oneqiy 2 SAT weqt dpap , ϕ oneqiy 2 CNF = weqt ozpida :jk xcbez divwecxd sqe`e x 1 i ,x 2 i ,x 3 i mipzyn dyely eidi ϕ-a riteny x i dpzyn lkl :`ad ote`a ϕ lk ik al miyp . x 1 i ∨ x 2 i ∧ x 1 i ∨ x 3 i ∧ x 2 i ∨ x 3 i : ϕ-a didi `ad zeiweqtd oian ccea dpzynl xzeid lkl 1 zpzep efd zeiweqtd zyly z` zwtqny dnyd mdipy ly dlilyd z` dlikny ziweqtd f` ,1 lawn mipzyn bef m` ik) dyelyd...
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Last_Tutorial - 14'qn lebxz(236343 zeiaeyigd zxez(2009...

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