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Unformatted text preview: CS 267 – Spring 2011 – Homework Assignment 1 Due Thursday, April 14th Do not discuss the problems with anyone other than the instructor. 1. Consider the following two transition systems: M 1 = ( AP 1 ,S 1 ,R 1 ,I 1 ,L 1 ) with the set of states S 1 = { , 1 , 2 , 3 } , the initial set of states I 1 = { } , the transition relation R 1 = { (0 , 1) , (1 , 2) , (2 , 3) , (2 , 1) , (3 , 3) } , the set of atomic propositions AP 1 = { p,q } and the labeling function L 1 : S 1 → 2 AP where L 1 (0) = ∅ , L 1 (1) = { p } , L 1 (2) = { p,q } , and L 1 (3) = { q } . M 2 = ( AP 2 ,S 2 ,R 2 ,I 2 ,L 2 ) with the set of states S 2 = { , 1 , 2 , 3 } , the initial set of states I 2 = { } , the transition relation R 2 = { (0 , 1) , (1 , 2) , (2 , 3) , (1 , 1) , (3 , 2) } , the set of atomic propositions AP 2 = { p,q } and the labeling function L 2 : S → 2 AP where L 2 (0) = { p } , L 2 (1) = { p,q } , L 2 (2) = { p,q } , and L 2 (3) = { q } ....
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This note was uploaded on 12/27/2011 for the course CMPSC 267 taught by Professor Bultan during the Fall '09 term at UCSB.
 Fall '09
 bultan

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