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Network
Rou+ng
Resourcedependencygraph
Markings
Resourceris:
Deadlock‐sensi+ve
Deadlock‐immune
Deadlock‐a=ainable
Formallyverifieddeadlockdetec+oninpacketandwormholenetworksNWOfreecompe,,on612.064.811
Deadlock‐freerou+ng
Results
Topologies: Mesh/ring Virtualchannels
References
Formalverifica+on
Switchingpolicy Packet Wormhole
Rou+ngfunc+ons: Determinis+c/adap+ve Cyclic/acyclicdependencies
FreekVerbeek,RadboudUniversiteitNijmegen,[email protected],OpenUniversiteitNederland,[email protected]
Formallyverified: Necessaryandsufficientcondi+ons Correctnessofspecifica+onofalgorithms
F.VerbeekandJ.Schmaltz.AFastandVerifiedAlgorithmforProvingStore‐and‐ForwardNetworksDeadlock‐Free(PDP'11) ‐‐‐‐.Automa+cverifica+onfordeadlockinnetworks‐on‐chipswithadap+verou+ngandwormholeswitching(NOCS‘11) ‐‐‐‐.OnNecessaryandSufficientCondi3onsforDeadlock‐FreeRou3nginWormholeNetworks(TPDS’11) ‐‐‐‐.ACommenton“ANecessaryandSufficientCondi3onforDeadlock‐FreeAdap3veRou3nginWormholeNetworks”(TPDS‘11)
Algorithms
Deadlockfreedomisanessen+alpropertyforNetworks‐on‐chips Manualdeadlockdetec+onisextremelyerror‐prone
Switching Complexity Complete Formallyverified
Packet O(N2) Yes YesWormhole O(N3) No Yes
Sourcecodeandproofscripts:h=p://www.cs.ru.nl/~freekver/dl_ic.html
Implementa+onofalgorithmsinC
d0 d1
AB C
E DFB
CE
A
D
F
Example:
