Hello I need help in Theoretical computer science Subtask (c) To justify that the language L3 has an infinite Nerode index, one has to specify an infinite number of strings uj to Σ which are pairwise different sets of sets SL3 (uj) are assigned. For this purpose it is advisable to use the character je N string uj = 21 for every to choose. Answer the following questions. E* (i) State how many and which character strings SL3 (u;) the one String uj contains the fixed set assigned.

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Hello I need help in Theoretical computer science
Subtask (c)
To justify that the language L3 has an infinite Nerode
index,
one has to specify an infinite number of strings uj to
which are pairwise
different sets of sets SL3 (uj) are assigned.
For this purpose it is advisable to use the character
je N
Uj = 211
for every
string
choose.
to
Answer the following questions.
E*
(i) State how many and which character strings
SL3 (u;)
the one String uj contains the fixed set
assigned.
ji + j2
(ii) Explain why
strings
uj1 and uj2 assigned suffix sets are different, that
implies that the two
mean.
SLa (Uji) # SLa(Uj2)
that
applies.
Subtask (d)
Explain why the language L4 has an infinite Nerode
index.
Hint: Choose {in analogy to subtask (c) {infinitely many
Strings uj and explain why you selected the one you
selected
Character strings are assigned to different sets of
characters SL4 (uj) in pairs
are.
Transcribed Image Text:Hello I need help in Theoretical computer science Subtask (c) To justify that the language L3 has an infinite Nerode index, one has to specify an infinite number of strings uj to which are pairwise different sets of sets SL3 (uj) are assigned. For this purpose it is advisable to use the character je N Uj = 211 for every string choose. to Answer the following questions. E* (i) State how many and which character strings SL3 (u;) the one String uj contains the fixed set assigned. ji + j2 (ii) Explain why strings uj1 and uj2 assigned suffix sets are different, that implies that the two mean. SLa (Uji) # SLa(Uj2) that applies. Subtask (d) Explain why the language L4 has an infinite Nerode index. Hint: Choose {in analogy to subtask (c) {infinitely many Strings uj and explain why you selected the one you selected Character strings are assigned to different sets of characters SL4 (uj) in pairs are.
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