## CSci 3501 Algorithms and Computability - Lab 7.

#### October 14. Due Thursday, October 23 at 11:59pm

What to submit and when:

• All submissions are electronic: by e-mail to and CC to all lab partners. Please do not delete your e-mail from "Sent mail" or your mailbox until the end of the semester.
• When working on the lab, please comment your work so that it is clear what contributions of each person are.
• At the end of the lab each group should send me the results of their in-class work. Please indicate if this is your final submission.
• If your submission at the end of the lab time was not final, please send me(CC to the lab partner(s)) a final copy before the due time. Please use the subject "3501 Lab N", where N is the lab number.

### Lab assignment

Work in pairs

#### Lab overview and goals

The goal of the lab is to explore combining finite automata, contstructing NFAs, and converting NFAs into DFAs. You will use the JFLAP convert to DFA option.

Unless specified otherwise, the alphabet is the set of 0 and 1.

Please design the following finite automata as stated:

1. Use the approach on p. 46 in the book to construct a DFA for the following language: all strings that have an odd number of 0s or end at 00 (or both). Construct the two simpler automata first (you don't need to submit them)
2. Use the approach on p. 46 in the book (modified for an intersection instead of a union) to construct a DFA for the following language: all strings that have at least three 0s and at most two 1s. Construct the two simpler automata first (you don't need to submit them)
3. Construct an NFA for the language of all strings with at least two 0s and at least two 1s.
4. Construct an NFA for the language of all strings that have at least two occurrences of a pattern 01 and at least one occurrence of 101. The patterns may overlap
5. Use the "convert to DFA" function to convert to DFA an NFA for the language of all strings with at least two 0s.
6. Use the "convert to DFA" function to convert to DFA an NFA for the language of all strings that end with two 1s.

#### Using JFLAP and naming your files

• Please save your automata files as .jff files and your data as .txt files. Files names must be as follows: names of those in the group followed by question name, e.g. SmithAdams3.jff (where 3 refers to the question number). This will help me in running test data
• To load test data from a file, go to Input -> Multiple Runs -> Load Inputs
• When adding multiple transitions between the same two states, add them one by one. Typing "0, 1" in a label for an arrow will give you a wrong result since the automaton will try to match this input exactly, including the comma.
• When writing DFA, check that every state has a transition on every symbol. JFLAP does not check it.
• Use Convert -> Combine Automata to copy one automaton into a file for another one.
• Consult the JFLAP tutorial as needed.

#### What to submit

• Submit your JFLAP files as attachments, CC your group. Make sure to submit your automata files (as .jff) and your input data (as .txt). Make sure to follow the naming requirements! Make it clear which data refers to which automaton.

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