Provide deterministic finite automata accepting the following languages over the alphabet Σ = {a, b}. 1. L1 = {w ∈ Σ∗ : w contains the substring aba} 2. L2 = {w ∈ Σ∗ : |w| ≥ 1, w starts with a or ends with b} 3. L3 = {w ∈ Σ∗ : |w| ≥ 2, the second to last letter of w is b}

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Q: 2. L = {w & a(011) *b* | the number of Os are even and the number of 1s are odd.}

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Problems on Turing Machines

In the computational world, the Turing machine is a powerful computation engine. The invention of the Turing Machine is done by Alan Turing in 1936. A Turing Machine (TM) is a diagrammatic model of a fictional computer. It determines an output from a set of input variables using a pre-defined set of rules. It is used to get around the limitations of finite automata and pushdown automata.