4. Consider alphabet Σ = {0,1} and language Lo₁ = {we*: w=0"1" for some nonnegative n€Z}. Prove or disprove that for each language Lover Σ, if Ln Lo₁ = 0 and L is regular, then L is finite.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
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4. Consider alphabet Σ = {0,1} and language Lo₁ = {we*: w=0"1" for some nonnegative n€Z}.
Prove or disprove that for each language Lover Σ, if Ln Lo₁ = 0 and L is regular, then L is finite.
Transcribed Image Text:4. Consider alphabet Σ = {0,1} and language Lo₁ = {we*: w=0"1" for some nonnegative n€Z}. Prove or disprove that for each language Lover Σ, if Ln Lo₁ = 0 and L is regular, then L is finite.
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