Monday 21 October 2019

Solution of one USE Informatics system of Boolean equations in 08.2016 style

Original system


Orinal system
¬(x1≡x2)v¬(x1≡x3)^(x2≡x3)=1
¬(x3≡x4)v¬(x3≡x5)^(x4≡x5)=1
¬(x5≡x6)v¬(x5≡x7)^(x6≡x7)=1
¬(x7≡x8)v¬(x7≡x9)^(x8≡x9)=1

Convert to equivalent
  (x1≡x2) => (x1⊕x3)^(x2≡x3) =1
  (x3≡x4) => (x3⊕x5)^(x4≡x5) =1
  (x5≡x6) => (x5⊕x7)^(x6≡x7) =1
  (x7≡x8) => (x7⊕x9)^(x8≡x9) =1

   Here we have transition variables x3,x5,x7 rather then transition pairs
   between equations. Thus we would manage via 08.2016 charts.
  

Consider a bit more complex sample of similar system

((x1≡x2)≡x3)=>(x1⊕x4)^((x2≡x3)≡x4)=1
((x4≡x5)≡x6)=>(x4⊕x7)^((x5≡x6)≡x7)=1
((x7≡x8)≡x9)=>(x7⊕x10)^((x8≡x9)≡x10)=1

Transition variables are x4 and x7. Fork 08.2016 chart for this system



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Solution of one USE Informatics system of Boolean equations in 08.2016 style

Original system Orinal system ¬(x1≡x2)v¬(x1≡x3)^(x2≡x3)=1 ¬(x3≡x4)v¬(x3≡x5)^(x4≡x5)=1 ¬(x5≡x6)v¬(x5≡x7)^(x6≡x7)=1 ¬(x7≡x8)v¬(x7≡x9...