Prove these left-quotient properties: 1. L1 CsL2 iff {8} - L L 2. SU{L iI) = U{SL;

 Prove these left-quotient properties:

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1. L1 Cs\L2 iff {8} - L₁ L₂ 2. S\U{L₁ iI) = U{S\L; \i € I} 3. a\(L₁ L₂)= 4. a\L (a\L) L* 5. rev(S\L) - rev (L)/rev(S) - Suppose S C Σ*, «ΕΣ, ΔΕΣ [(a\L₁)-L₂U (a\L₂), if e € L₁, and (a\L₁) - L2, otherwise. 1. L1 Cs\L2 iff {8} - L₁ L₂ 2. S\U{L₁ iI) = U{S\L; \i € I} 3. a\(L₁ L₂)= 4. a\L (a\L) L* 5. rev(S\L) - rev (L)/rev(S) - Suppose S C Σ*, «ΕΣ, ΔΕΣ [(a\L₁)-L₂U (a\L₂), if e € L₁, and (a\L₁) - L2, otherwise.

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Here are the proofs of the leftquotient properties 1 Liff L the leftquotient of the empty language b... View the full answer