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Fina lsample13april2012mini2ver2zoover3 Fina lsample13april2012mini2ver2zoover3 Presentation Transcript

  • Snow White WANTS TO GO FOR A PARTY IN THE HOUSE OF Rhino
  • Snow White WANTS TO GO FOR A PARTY IN THE HOUSE OF Rhino
  • Snow White WILL START THEJOURNEY FROM THE HOUSE OF Panda
  • Snow White WANTS TO GO FOR A PARTY IN THE HOUSE OF Rhino
  • Snow White MAY VISIT Panda,Lion,Rhino,Hippo,Owl,Shark,Whale,Bison ON THE WAY
  • INITIALLY EVERYONE STAYS TOGETHER IN ONE HOUSE
  • INITIALLY EVERYONE STAYS TOGETHER IN ONE HOUSE THEN THEY STARTQUARRELING AND STAY SEPARATELY
  • THE PROBLEM IS– HOW MANY HARMONIOUSFAMILIES ARE THERE??
  • THE PROBLEM IS– HOW MANY HARMONIOUS FAMILIES ARE THERE??THE JOURNIES Snow White MAKES ARE FIXED Snow White MUST VISIT THE SAME PERSONS
  • Snow WhiteSTARTS HERE
  • Snow White THE PARTY IS HERESTARTS HERE
  • IN BETWEEN HOUSESSnow White THE PARTY IS HERESTARTS HERE
  • START dry wetSnow White dry wet dryPanda Lion Rhino Hippo wet dry dry wet wet wet Whale dry Owl wet Shark Bison wet dry dryWE WILL USE THE CLEVER MINIMISATIONALGORITHM!!!
  • START dry wetSnow White dry wet dryPanda Lion Rhino Hippo wet dry dry wet wet wet Whale dry Owl wet Shark Bison wet dry dryCOLOR THE FINAL STATE A DIFFERENTCOLOR
  • START dry wetSnow White dry wet dryPanda Lion Rhino Hippo wet dry dry wet wet wet Whale dry Owl wet Shark Bison wet dry dryTHE REMAINING HOUSES ARE IN THE HOMECOLOR!!
  • START dry wetSnow White dry wet dryPanda Lion Rhino Hippo wet dry dry wet wet wet Whale dry Owl wet Shark Bison wet dry dryWE WILL USE THE CLEVER MINIMISATIONALGORITHM!!!
  • Shark AND Hippo BREAK AWAY!!!
  • START dry wetSnow White dry wet dryPanda Lion Rhino Hippo wet dry dry wet wet wet Whale dry Owl wet Shark Bison wet dry dryWE WILL USE THE CLEVER MINIMISATIONALGORITHM!!!
  • Lion AND BisonBREAK AWAY!!!
  • START dry wetSnow White dry wet dryPanda Lion Rhino Hippo wet dry dry wet wet wet Whale dry Owl wet Shark Bison wet dry dryWE WILL USE THE CLEVER MINIMISATIONALGORITHM!!!
  • WhaleBREAKS AWAY!!!
  • START dry wetSnow White dry wet dryPanda Lion Rhino Hippo wet dry dry wet wet wet Whale dry Owl wet Shark Bison wet dry dryWE WILL USE THE CLEVER MINIMISATIONALGORITHM!!!
  • THE MINIMAL FINITE AUTOMATA OBTAINED
  • START dry wetSnow White dry wet dryPanda Lion Rhino Hippo wet dry dry wet wet wet Whale dry Owl wet Shark Bison wet dry dryWE WILL USE THE CLEVER MINIMISATIONALGORITHM!!!
  • THE DETAILEDCONSTRUCTION FOLLOWS
  • FIRST THE DFA IS CONSTRUCTED
  • PandaTHIS IS THE HOUSE WHERE Panda LIVES
  • Panda Pan Lion Lion daTHIS IS THE HOUSE WHERE Lion LIVES
  • Lion Rhin Panda Lion Rhino oTHIS IS THE HOUSE WHERE Rhino LIVES
  • Lion Lion RhinPanda Rhino Hipp Hippo o oTHIS IS THE HOUSE WHERE Hippo LIVES
  • Panda Lion Rhino HippoOwlTHIS IS THE HOUSE WHERE Owl LIVES
  • Panda Hippo Lion RhinoOwl SharkTHIS IS THE HOUSE WHERE Shark LIVES
  • Panda Lion Rhino HippoOwl Shark WhaleTHIS IS THE HOUSE WHERE Whale LIVES
  • Panda Lion Rhino HippoOwl Shark Whale BisonTHIS IS THE HOUSE WHERE Bison LIVES
  • SnowWhitePanda Rhino Hippo Lion WhaleOwl Shark BisonSnow White WANTS TO GO FOR A PARTY!!!
  • SnowWhitePanda Lion Rhino Hippo Shark WhaleOwl BisonSnow White WANTS TO GO FOR A PARTY!!!THE PARTY IS IN THE HOUSE OF Rhino!!
  • SnowWhitePanda Lion Rhino Hippo BisonOwl Shark WhaleSHOW Rhino AS A FINAL STATE!! PUT ADOUBLE CIRCLE!!
  • SnowWhitePanda Lion Rhino HippoOwl Shark Whale BisonSnow White WILL START THE JOURNEYFROM THE HOUSE OF Panda
  • SnowWhitePanda Lion Rhino Hippo Shark Whale BisonOwlSnow White WILL START THE JOURNEYFROM THE HOUSE OF Panda---THE STARTSTATE
  • START Snow WhitePanda Lion Rhino Hippo WhaleOwl Shark BisonMARK Panda AS THE START STATE!!!
  • START Snow WhitePanda Lion Rhino Hippo BisonOwl Shark WhaleLET US PUT THE TRANSITIONS I.E. HOWSnow White CAN TRAVEL!!
  • STARTSnow White dryPanda Lion Rhino Hippo Whale BisonOwl SharkON A dry DAY Snow White TRAVELS FROMPanda TO Lion------PUT AN ARROW FROMPanda TO Lion!
  • STARTSnow White dryPanda Lion Rhino Hippo wet WhaleOwl Shark BisonON A wet DAY Snow White TRAVELS FROMPanda TO Shark------PUT AN ARROW FROMPanda TO Shark!
  • STARTSnow White dryPanda Lion Rhino Hippo wet dryOwl Shark Whale BisonON A dry DAY Snow White TRAVELS FROMLion TO Whale------PUT AN ARROW FROMLion TO Whale!
  • STARTSnow White dryPanda Lion Rhino Hippo wet dryOwl Shark Whale BisonON A dry DAY Snow White TRAVELS FROMLion TO Whale------PUT AN ARROW FROMLion TO Whale!
  • STARTSnow White dry wetPanda Lion Rhino Hippo wet dryOwl Shark Whale BisonON A wet DAY Snow White TRAVELS FROMLion TO Rhino------PUT AN ARROW FROMLion TO Rhino!
  • STARTSnow White dry wetPanda Lion Rhino Hippo wet dry Shark WhaleOwl BisonON A wet DAY Snow White TRAVELS FROMLion TO Rhino------PUT AN ARROW FROMLion TO Rhino!
  • START drySnow White dry wetPanda Lion Rhino Hippo wet dryOwl Shark Whale BisonON A dry DAY Snow White TRAVELS FROMRhino TO Panda------PUT AN ARROW FROMRhino TO Panda!
  • START dry wetSnow White dry wetPanda Lion Rhino Hippo wet dryOwl Shark Whale BisonON A wet DAY Snow White TRAVELS FROMRhino TO Rhino------PUT AN ARROW FROMRhino TO Rhino!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dryOwl Shark Whale BisonON A dry DAY Snow White TRAVELS FROMHippo TO Rhino------PUT AN ARROW FROMHippo TO Rhino!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry wetOwl Shark Whale BisonON A wet DAY Snow White TRAVELS FROMHippo TO Whale------PUT AN ARROW FROMHippo TO Whale!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry wetOwl Shark Whale Bison dryON A dry DAY Snow White TRAVELS FROMOwl TO Bison------PUT AN ARROW FROM OwlTO Bison!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry wetOwl wet Shark Whale Bison dryON A wet DAY Snow White TRAVELS FROMOwl TO Shark------PUT AN ARROW FROM OwlTO Shark!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wetOwl wet Shark Whale Bison dryON A dry DAY Snow White TRAVELS FROMShark TO Rhino------PUT AN ARROW FROMShark TO Rhino!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wetOwl wet Shark wet Whale Bison dryON A wet DAY Snow White TRAVELS FROMShark TO Whale------PUT AN ARROW FROMShark TO Whale!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wetOwl wet Shark wet Whale Bison dry dryON A dry DAY Snow White TRAVELS FROMWhale TO Whale------PUT AN ARROW FROMWhale TO Whale!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wetOwl wet Shark wet Whale Bison wet dry dryON A wet DAY Snow White TRAVELS FROMWhale TO Owl------PUT AN ARROW FROMWhale TO Owl!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wetOwl wet Whale dry wet Shark Bison wet dry dryON A dry DAY Snow White TRAVELS FROMBison TO Whale------PUT AN ARROW FROMBison TO Whale!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryON A wet DAY Snow White TRAVELS FROMBison TO Rhino------PUT AN ARROW FROMBison TO Rhino!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryWE WANT TO MINIMISE THE NUMBER OFSTATES!!!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryARE SO MANY HOUSES REQUIRED??
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryARE SO MANY HOUSES REQUIRED??WHY CANNOT SOME STAY TOGETHER??
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryTHE JOURNEYS Snow White HAS TO MAKEMUST NOT CHANGE!!!
  • START dry wetSnow White dry wet dryPanda Lion Rhino Hippo wet dry dry wet wet wet Whale dry Owl wet Shark Bison wet dry dryWE WILL USE THE CLEVER MINIMISATIONALGORITHM!!!
  • START dry wetSnow White dry wet dryPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryCOLOR THE FINAL STATES SAY REDCOLOR!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryCOLOR THE NON-FINAL STATES SAYGREEN COLOR!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryRhino HAS NOBODY TO QUARREL WITH!!Rhino IS A SINGLETON!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryCAN THE GREEN HOUSE RESIDENTS GETALionG??
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryCAN THE GREEN HOUSE RESIDENTS GETALionG??
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryON A dry DAY WHO CAN GO TO Rhino FORTHE PARTY??
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryON A dry DAY WHO CAN GO TO Rhino FORTHE PARTY??Shark AND Hippo WILL GO TOTHE PARTY!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryON A dry DAY Panda, Owl, Lion, Whale, BisonDO NOT WANT TO GO TO THE PARTY!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryON A dry DAY Panda, Owl, Lion, Whale, BisonDO NOT WANT TO GO TO THE PARTY! THEYQUARREL WITH Hippo & Shark!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryHippo & Shark STAY SEPARATELY!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryHippo & Shark STAY SEPARATELY!!!COLORTHEM ORANGE!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryON INPUT wet ‘CHAOS STARTS IN THEGREEN COLOR!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryON INPUT wet ‘CHAOS STARTS IN THEGREEN COLOR!!! Panda & Owl GO TOORANGE,
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryON INPUT wet ‘CHAOS STARTS IN THEGREEN COLOR!!! Panda & Owl GO TOORANGE, Bison & Lion GO TO RED.
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryON INPUT wet ‘CHAOS STARTS IN THE GREENCOLOR!!! Panda & Owl GO TO ORANGE, Bison & LionGO TO RED. GG STICKS TO GREEN!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryCOLOR Panda, Owl ONE COLOR. COLOR Lion, BisonANOTHER COLOR!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryCOLOR Panda, Owl ONE COLOR. COLOR Lion, BisonANOTHER COLOR!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryCOLOR Panda, Owl ONE COLOR. COLOR Lion, BisonANOTHER COLOR!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryNOW LET US SEE IF EVERYONE IS HAPPY!!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryNOW LET US SEE IF EVERYONE IS HAPPY!!!!Rhino IS A LionER----IS HAPPY!!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryNOW LET US SEE IF EVERYONE IS HAPPY!!!!Rhino IS A LionER----IS HAPPY!!!! Whale IS ALionER---HAPPY!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryPanda & Owl AGREE ON A dry DAY, AGREE ON A wetDAY!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryPanda & Owl AGREE ON A dry DAY, AGREE ON A wetDAY!!! Hippo & Shark AGREE ON A dry DAY, AGREEON A ;1’ DAY!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dryA HAPPY COMMUNITY HAS DEVRELOPED!!!! Lion
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • PandaOwl
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • PandaOwl SharkHippo
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • PandaOwl SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • PandaOwl Rhino SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • PandaOwl Rhino Whale dry SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • PandaOwl Rhino Whalewet dry SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • PandaOwl Rhino Whalewet dry dry SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • PandaOwl Rhino Whalewet wet dry dry SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • dryPandaOwl Rhino Whalewet wet dry dry SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • wet dryPandaOwl Rhino Whalewet wet dry dry SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • wet dry dryPandaOwl Rhino Whalewet wet dry dry SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • wet dry dryPandaOwl Rhino wet Whalewet wet dry dry SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!
  • wet dry dryst PandaOwl Rhinoa wet Whalert wet wet dry dry SharkHippo LionBison
  • START dry wetSnow White dry dry wetPanda Rhino Hippo Lion wet dry dry wet wetOwl wet Whale dry wet Shark Bison wet dry dryA HAPPY COMMUNITY HAS DEVRELOPED!!!!THERE ARE 5 COLORS!!! MINIMAL MACHINE HAS 5STATES!!!!