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lfa:2025:lab01 [2025/10/06 00:35]
tpruteanu
lfa:2025:lab01 [2025/10/07 12:02] (current)
tpruteanu
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-**2.1.3.** The language of binary words which contain **exactly** two ones.yy+**2.1.3.** The language of binary words which contain **exactly** two ones.
  
 /​*<​hidden>​ /​*<​hidden>​
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 **2.1.4.** (*) The language of words which encode binary numbers divisible by 3. **2.1.4.** (*) The language of words which encode binary numbers divisible by 3.
  
-**2.1.5.** (* *) The language of words which encode binary numbers divisible by 3, represent ​in reverse order (the least significant digit is first).+**2.1.5.** (* *) The language of words which encode binary numbers divisible by 3, represented ​in reverse order (the least significant digit is first).
  
 **2.1.6.** (*) The language of quaternary words (base 4), that follow the rule that every zero is immediately followed by a sequence of at least 2 consecutive threes and every one is immediately followed by a sequence of at most 2 consecutive twos. **2.1.6.** (*) The language of quaternary words (base 4), that follow the rule that every zero is immediately followed by a sequence of at least 2 consecutive threes and every one is immediately followed by a sequence of at most 2 consecutive twos.
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    iar dacă începe cu b. prima secvență este de al doilea tip */    iar dacă începe cu b. prima secvență este de al doilea tip */
        
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 **2.3.1** What happens if we switch all final states to non-final states and vice-versa in a DFA? **2.3.1** What happens if we switch all final states to non-final states and vice-versa in a DFA?
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 **2.3.3** If no such cycle described above exist, L(M) is finite. **2.3.3** If no such cycle described above exist, L(M) is finite.
  
-**2.3.4** Show that if you can construct a DFA to accept L, than you can also construct a DFA to accept $ L \cup \{a\}, a \in \Sigma $.+**2.3.4** Show that if you can construct a DFA to accept L, than you can also construct a DFA to accept $ L \cup \{a\}, ​\forall ​a \in \Sigma $.