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Computing with signals: a generic and modular signal machine for satisfiability problems

66 pages
Computing with signals: a generic and modular signal machine for satisfiability problems 1 / 45 Computing with signals: a generic and modular signal machine for satisfiability problems Denys Duchier, Jérôme Durand-Lose, Maxime Senot Laboratoire d'Informatique Fondamentale d'Orléans, University of Orléans, Orléans, FRANCE 2 nd international workshop NWC '11 LIFO, Orléans 24 May 2011

  • signal machines

  • international workshop

  • orléans

  • laboratoire d'informatique fondamentale d'orléans


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Computingwithsignals:ar2ygenericofand'11moLabdulaondamentalerOrl?soignl?ansalMaximemachineratoirefoatiquerUniversitsatisabilitryns,pinternationalroblemsNW1O,/2445Durand-Lose,ComputingSenotwithosignals:d'InfoamgenericFandd'Orl?ans,moydulaOrl?ans,signalamachineFRANCEfondrwsatisabilitrkshopyCpLIFroblemsOrDenysDuchier,MaJ?r?me2011Computingwithsignals:a2345genericband2moSignaldulaQ-SArgeometricals4ign/al1machineMachinesfoSolvingrTsatisabilityycomputationpComplexitiesroblemsConclusionComputingwithsignals:aQ-SA4SolvinggenericsignalandDenitionsmoydulaTrthesmacignexamplesalTmachinecomputationfoImplementingrrithmsatisabilitComputingy3psignalroblemshines3and/245Q-SASignalbMachinesgeometrical1ProblemSignalTMachinesQ-SAFalgoromoncemachinesllulainrtreeautomataComplexitiestoConclusionComputingwithsignals:aSolvingsignaltogenericQ-SAand4moDenitionsdulayrTstheignralmacmachineexamplesfoTrcomputationsatisabilitImplementingyrithmpComputingroblems34llula/automata45signalSignalhinesMachinesandF2romQ-SAcellulabrgeometricalautomataProblemtoTsignalQ-SAmachinesalgo1onSignalmachinesMachinesinFtreeromComplexitiesceConclusionComputingwithsignals:FAnalyzing/aautomatageneric[Das,andSignalmocelluladulasignalrwithsMitchellign45alMachinesmachineromforrtosatisabilitmachinesyCApsignalsroblemsCrutcheld,595]Computingwithsignals:aromCASquadgenerictoandsolutionmoMachinesdularrmachinesssignalsignthealProblemmachineFfocellularautomatasatisabilitsignalyDesigningpwithroblemsGoto's6to/Firing45SynchronizationSignal[Goto66]Computingwithsignals:FDesigning196aautomatagenericGeneratingandSignalmocelluladulasignalrwithsrimesignFig.alMachinesmachineromforrtosatisabilitmachinesyCApsignalsroblemsp6[Fischer,/5,452])
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agenericdiscreter)andFmomachinesdula)signals:rsomigntoal(machine(fo(withSpaceromrsatisabilitmachinesycontinuouspcellularoblemsautomata7signal/Time45aSignalSpaceComputingMachinesFTimeromtocellula)r(automata)toFsignalarspace-time
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agenericandmowithmachines)dularr)sdiscreteignomaltomachine(fo(signals:(romSpaceFrsatisabilitmachinesycontinuouspcellularoblemsautomata7signal/Time45aSignalSpaceComputingMachinesFTimeromtocellula)r(automata)toFsignalarspace-time
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RComputingwithsignals:aytheDenitionsgenericTandtomoSolvingdulaQ-SArsignals4ignmacalexamplesmachineTfocomputationrImplementingsatisabilitrithmyComputingp3roblemsautomata8signal/hines45andSignal2MachinesQ-SADenitionsbandgeometricalexamProblemplesT1Q-SASignalalgoMachinesonFmachinesromincetreellulaComplexitiesrConclusion

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