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MAFSM: From Trees to Graphs

MAFSM: From Trees to Graphs. e. B n. B B. B A. B B B B. B A B A. B A B B. B B B A. . . . . . . . . . . . . MAFSM: From Trees to Graphs. e. B n. B B. B A. B B B B. B A B A. B A B B. B B B A. . . . . . Front ( B n ). . . . . . . .

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MAFSM: From Trees to Graphs

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  1. MAFSM: From Trees to Graphs e Bn BB BA BBBB BABA BABB BBBA . . . . . . . . . . . .

  2. MAFSM: From Trees to Graphs e Bn BB BA BBBB BABA BABB BBBA . . . . . Front(Bn) . . . . . . .

  3. MAFSM: From Trees to Graphs • We introduce a relationEincluded in Front(Bn )Bn E(BBBA , BA) intuitively means that BBBA and BA are modelled by the same process (they are “behaviourally equivalent”).

  4. MAFSM: From Trees to Graphs • We introduce a relationEincluded in Front(Bn )Bn E(BBBA , BA) intuitively means that BBBA and BA are modelled by the same process (they are “behaviourally equivalent”). Example: E(BBBA , BA) as we assume that A “knows” that B behaves following the protocol. E(BABB ,BA) as we assume that B “knows” that A behaves following the protocol.

  5. MAFSM: From Trees to Graphs e Bn BB BA BBBB BABA BABB BBBA . . . . . Front(Bn) . . . . . . . . .

  6. MAFSM: From Trees to Graphs • We introduce a relationEincluded in Front(Bn )Bn • Edenotes the smallest equivalence relation on B* containing E Example: BAEBBBAEBABBBAE EBBBABBBA BBBA BBEBABBEBBBABBEEBABBBABB BABB

  7. MAFSM: From Trees to Graphs • We introduce a relationEincluded in Front(Bn )Bn • Edenotes the smallest equivalence relation on B* containing E Example: BAEBBBAEBABBBAE EBBBABBBA BBBA BBEBABBEBBBABBEEBABBBABB BABB but BBBB, BABA are not equivalent, via E,to any other viewexceptBBBB, BABA, respectively.

  8. MAFSM: From Trees to Graphs e BA EBBBA BB BABA BABB BBBB . . . . . . . . .

  9. MAFSM: From Trees to Graphs e BA EBBBA BB E BABB BABA BBBB . . . . . .

  10. MAFSM: From Trees to Graphs e BA EBBBA BB E BABB BBf? BABA BBBB . . . . . .

  11. MAFSM: From Trees to Graphs e BA EBBBA BB E BABB BBf? f? BABA BBBB . . . . . .

  12. MultiAgent Finite State Machine Definition: Let {La } be a family of MATL languages on {Pa }. A MAFSM MF=<E, F> where • EFront(Bn)×Bn is functional relation • Fis as defined above

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