2. Prove or disprove 1. forall A, B,C, A(BUC) C ABUAC 2. forall A, B,C, A(BUC) 2 ABUAC 3. forall A, B,C, A(BNC) C ABNAC 4. forall A, B,C, A(BnC) 2 ABNAC

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Prove or disprove
1. forall A, B,C, A(BUC) C ABUAC
2. forall A, B,C, A(BUC)2 ABUAC
3. forall A, B,C, A(BNC) C ABNAC
4. forall A, B,C, A(BNC) 2 ABNAC
For a proof, give a careful mathematical argument, based on the formal definitions
of subset, concatenation, etc. For a disproof, give a specific, concrete, example of
languages A, B, and C. Hint. Three of those are true and one is false.
Transcribed Image Text:2. Prove or disprove 1. forall A, B,C, A(BUC) C ABUAC 2. forall A, B,C, A(BUC)2 ABUAC 3. forall A, B,C, A(BNC) C ABNAC 4. forall A, B,C, A(BNC) 2 ABNAC For a proof, give a careful mathematical argument, based on the formal definitions of subset, concatenation, etc. For a disproof, give a specific, concrete, example of languages A, B, and C. Hint. Three of those are true and one is false.
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