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cmps104a-2007q4-exam1

cmps104a-2007q4-exam1 - CMPS-104A Compiler Design I Fall...

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CMPS-104A • Compiler Design I • Fall 2007 • Test #1 page 1 of 3 $Id: cmps104a-2007q4-exam1.mm,v 7.86 2007-12-18 16:04:30-08 - - $ page 1 page 2 page 3 Please PRINT using keyboard letters : Name : Login : @ucsc.edu Total / 30 No books ; No calculator ; No computer ; No email ; No internet ; No notes ; No phone. Neatness counts ! Do your scratch work elsewhere and enter only your final answer into the spaces provided. 1. Given the following NFA that was created by Thompson’s construction. Note that Σ = { a , b , c }, and that the symbol ‘‘ ε ’’ is the Greek letter ε ’` ψιλο ´ ν . [6 ] (a) What is the original regular expression ? Express your answer using only letters and the metacharacters ‘‘ ( ’’, ‘‘ ) ’’, ‘‘ | ’’, and ‘‘ * ’’. (b) Fill in the table showing the ε -closure for each state. (c) Using the subset construction, draw the DFA. Do not minimize. Do not show dead states. Inside each DFA state show the corresponding NFA states. Label each of your DFA states with a capital letter. (d) Do scratch work elsewhere and then draw a minimized DFA. Again, do not show dead states. state s ε -closure (s) 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 ε a ε b ε ε ε c ε ε ε 2. Draw deterministic finite αυ το ´
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