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Prove languages are not context-free using the pumping lemma: {ap | p is a prime number }, {anbn2 | n ≥0}, {w ∈{a, b, c}∗| |w|a = |w|b = |w|c }, {v#u | u, v ∈{a, b}∗and u is a subword of v }. Determine if languages {anbm | n ̸= m}, {anbmck | n ≤m ≤k} are context-free. Prove a pumping lemma for linear languages and show a linear language that is not regular and a context-free language that is not linear. Analyze deterministic context-free languages, specifically L = {anbn | n ≥0} ∪{anb2n | n ≥0} and L ∪{anbncn | n ≥0}, and show {anbn | n ≥0} ∪{anb2n | n ≥0} ∪{anbncn | n ≥0} is not context-free, implying context-free languages exist that cannot be recognized by a deterministic PDA.

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Prove languages are not context-free using the pumping lemma: {ap | p is a prime number }, {anbn2 | n ≥0}, {w ∈{a, b, c}∗| |w|a = |w|b = |w|c }, {v#u | u, v...

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  • File Format: PDF
  • File Size: 103 KB
  • Pages: 2
  • Language: EN
  • Total Downloads: 160
  • Last Updated: 4 days ago

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