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Towards A Formally Verified Network-on-Chip Tom van den Broek 1 Julien Schmaltz 12 1 Institute for Computing and Information Sciences Radboud University Nijmegen The Netherlands 2 School of Computer Science Open University The Netherlands


  1. Towards A Formally Verified Network-on-Chip Tom van den Broek 1 Julien Schmaltz 12 1 Institute for Computing and Information Sciences Radboud University Nijmegen The Netherlands 2 School of Computer Science Open University The Netherlands t.vandenbroek@cs.ru.nl & julien.schmaltz@ou.nl FMCAD ’09 van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  2. Outline Networks-on-Chips: Hermes Implemented as model instance Characteristics: XY minimal deterministic routing TD DATA HD Wormhole switching Frame structure: Header flit (Route Information) Data flits (Payload) Torn-down flit (Last flit) van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  3. Outline Network-on-Chips Platform-Based Design and Networks-on-Chip Platform-Based Design: Re-use of parametric modules ( Intellectual Properties ) High-level of abstraction Communication -centric: from buses to networks Solves the communication issues The components are connected in a communication network Advantages Scalable Parallelism van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  4. Outline Network-on-Chips Formal Methods and Networks-on-Chips System Verification: Proof of each component Proof of their interconnection State-of-the-Art: Model checking or theorem proving of instances of systems Often at hardware level (RTL) The GeNoC Approach: A generic model for reasoning about NoCs Reduces amount of the user interaction needed to prove properties on NoC instances van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  5. Outline Network-on-Chips GeNoC approach Interfaces Routing Scheduling Proof Proof Proof Obligations Obligations Obligations (0 2) (1 2) (2 2) Y (1 1) (2 1) (0 1) (0 0) (1 0) (2 0) X Instantiated for the given NoC THEOREM Proof Proof Proof messages reach Obligations Obligations Obligations their expected destination To be discharged for the given NoC van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  6. Outline Contribution and Method Contribution Original GeNoC Model Highly abstract representation of the communications The model has access to the complete precomputed routes the messages will traverse in the network How does the specification level relates to the implementation level? Contribution A generic implementation model A (generic) specification model A refinement proof between two instances of these models van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  7. Outline Contribution and Method Method - Specification model van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  8. Outline Contribution and Method Method - Contribution van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  9. Models Structure of the two models Both models consist of two main parts: The NoC characteristics are defined in the Network model Topology Router components: Datalink Routing Scheduling The Network interpreter takes a network model and simulates the network Implemented in ACL2 van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  10. Models Model Structure The main interpreter structure State Messages Depart delayed Updated state Stepnetwork Router UpdateNeighbours van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  11. Models Interpreter Network interpreter – Implementation Level local ports local ports north north State Messages east east west west 0 1 1 1 Depart delayed south south Updated state local ports local ports Stepnetwork north north Router east east UpdateNeighbours west west 0 0 1 0 south south van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  12. Models Interpreter Network interpreter – Implementation Level local ports local ports State Messages north north east east west west 0 1 1 1 Depart delayed south south Updated state Stepnetwork local ports local ports M north north Router east east UpdateNeighbours west west 0 0 1 0 south south van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  13. Models Interpreter Network interpreter – Implementation Level local ports local ports north north State Messages east east west west 0 1 1 1 Depart delayed south south Updated state local ports local ports Stepnetwork M north north Router east east UpdateNeighbours west west 0 0 1 0 south south ProcessInputs van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  14. Models Interpreter Network interpreter – Implementation Level local ports local ports north north State Messages east east west west 0 1 1 1 Depart delayed south south Updated state local ports local ports Stepnetwork M north north Router east east UpdateNeighbours west west 0 0 1 0 south south RouteControl van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  15. Models Interpreter Network interpreter – Implementation Level local ports local ports State Messages north north east east west west 0 1 1 1 Depart delayed south south Updated state Stepnetwork local ports local ports north north Router east east UpdateNeighbours west west M 0 0 1 0 south south FlowControl van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  16. Models Interpreter Network interpreter – Implementation Level local ports local ports north north State Messages east east west west 0 1 1 1 Depart delayed south south Updated state local ports local ports Stepnetwork north north Router east east UpdateNeighbours west west M 0 0 1 0 south south ProcessOutputs van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  17. Models Interpreter Network interpreter – Implementation Level local ports local ports State Messages north north east east west west 0 1 1 1 Depart delayed south south Updated state Stepnetwork local ports local ports north north Router east east UpdateNeighbours M west west 0 0 1 0 south south van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  18. Models Interpreter Network interpreter – Implementation Level local ports local ports north north State Messages east east west west 0 1 1 1 Depart delayed south south Updated state local ports local ports Stepnetwork north north Router east east UpdateNeighbours west west 0 0 M 1 0 south south van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  19. Models Interpreter Network interpreter – Specification Level local ports local ports north north State Messages east east west west 0 1 1 1 R-Depart delayed south south Updated state local ports local ports Stepnetwork north north Spec-Router east east UpdateNeighbours west west 0 0 1 0 south south van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  20. Models Interpreter Network interpreter – Specification Level local ports local ports State Messages north north east east west west 0 1 1 1 R-Depart delayed south south Updated state Stepnetwork local ports local ports M ENL north north Spec-Router east east UpdateNeighbours west west 0 0 1 0 south south van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  21. Models Interpreter Network interpreter – Specification Level local ports local ports north north State Messages east east west west 0 1 1 1 R-Depart delayed south south Updated state local ports local ports Stepnetwork M ENL north north Spec-Router east east UpdateNeighbours west west 0 0 1 0 south south van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  22. Models Interpreter Network interpreter – Specification Level local ports local ports State Messages north north east east west west 0 1 1 1 R-Depart delayed south south Updated state Stepnetwork local ports local ports north north Spec-Router east east UpdateNeighbours M ENL west west 0 0 1 0 south south van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  23. Models Interpreter Network interpreter – Specification Level local ports local ports north north State Messages east east west west 0 1 1 1 R-Depart delayed south south Updated state local ports local ports Stepnetwork north north Spec-Router east east UpdateNeighbours west west 0 0 1 0 M NL south south van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

  24. Models Interpreter Network interpreter – Specification Level local ports local ports north north State Messages east east west west 0 1 1 1 R-Depart delayed south south Updated state local ports local ports Stepnetwork north north Spec-Router east east M NL UpdateNeighbours west west 0 0 1 0 south south van den Broek et al. (RUN & OU ) Towards A Formally Verified NoC November 18, 2009

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