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Regions Finite Partitioning of State Space x y An equivalence class (i.e. a region) in fact there is only a finite number of regions!! 123 1 2

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An Example Region Graph

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A1 B1 CS1 V:=1V=1 A2 B2 CS2 V:=2V=2 Init V=1 2 ´´ V Criticial Section Fischer’s Protocol Y<10 X:=0 Y:=0 X>10 Y>10 X<10

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Fischer’s cont. A1 B1 CS1 V:=1V=1 A2 B2 CS2 V:=2V=2 Y<1 X:=0 Y:=0 X>1 Y>1 X<1 A1,A2,v=1 A1,B2,v=2 A1,CS2,v=2 B1,CS2,v=1 CS1,CS2,v=1 Untimed case A1,A2,v=1 x=y=0 A1,A2,v=1 0

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M3 1.5 Systems of Linear Inequalities M3 1.5 Systems of Linear Inequalities Essential Questions: How can we write and graph a system of linear inequalities.

M3 1.5 Systems of Linear Inequalities M3 1.5 Systems of Linear Inequalities Essential Questions: How can we write and graph a system of linear inequalities.

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