Use the subset construction algorithm from lecture to produce ivalent DFA from the following NFA. Please show your work so that y how each state is generated. Name your DFA states so that the link to the DEA 1. 1:1.

Please show all work for the following problem:

Write a Algorithm for B-ssgs of a Soluble Group using Prime IndexInput : a soluble permutation group G with a base and strong generating set;-..4, Output : a base B for G and a prime-step B-ssgs g for G;

Convert the regular expression (0+1)*1(0+1) into NFA using Thompson’s construction, following which convert the obtained NFA into DFA using Subset Construction algorithm. Minimize the resultant DFA

Give conditions under which the following expressions are equivalent:A,Bγagg(C)(E1 ⋈ E2) and (Aγagg(C)(E1)) ⋈ E2where agg denotes any aggregation operation. How can the above conditionsbe relaxed if agg is one of min or max?

- Consider the following resource allocation graph. P, P. P, i) Convert it to the matrix representation (i.e., Find matrix for Allocation, request, and Available). ii) Is there a deadlock? If there is a deadlock, which processes are involved? What is the hold and wait condition for deadlock? Explain why violation of this condition is sufficient to prove that there is no deadlock among the set of processes even if mutual exclusion and no-preemption conditions are valid?

please make sure the answer is correct and the diagram is understandable. please explain how to get the NAND-AND structure from the AND-OR-NOT. Thanks in advance for your help

please explain step by step

The composition of Figure 2 has 6 states — how many many traces does it have?

We can acquire the complement of a DFA by swapping accept and non-accept states. Explain whether this method succeeds to build a TM complement. If yes, describe how; if no, explain why and suggest a TM supplement strategy.