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Applications of the Matrix Model of Computation

Applications of the Matrix Model of Computation. Sergio Pissanetzky. The MMC consists of two sparse matrices: M = (C, Q) C = Matrix of Services Q = Matrix of Sequences The model has two forms: ● imperative form ● canonical form.

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Applications of the Matrix Model of Computation

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  1. Applications of theMatrix Model of Computation Sergio Pissanetzky

  2. The MMC consists of two sparse matrices: M = (C, Q) C = Matrix of Services Q = Matrix of Sequences The model has two forms: ● imperative form ● canonical form. Matrix Q is the imperative part of the model.

  3. The MMC is universal

  4. A Business Problem M A a B b S C Services: Init, AM, BM, CM, AS, BS, CS, MCost, SCost

  5. Matrix of Sequences R Q =

  6. Relations are code Relation R = Program in C

  7. Relations are object-oriented Relation R =

  8. Relations support inheritance transformations R1 R = R2

  9. Case b/a ● Consider control variable b. ● Add foreign keys for variable b. ● Project on (P, b, h) and (h, a, F). R3 R = R4

  10. Relations support UML models R1 R2 R2 Caller initializes a. Caller constructs A/B/CModel  initialize b. Caller calls Cost, passing a Cost selects MList /SList  a decision. MList, SList call their override  b decision, calculate the list of equipment, construct a Mail or Spray object, and call their M/SCost method to calculate cost.

  11. Relations support Patterns R3 R3 R4 R4

  12. Refactoring in the MMC

  13. Conclusions

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