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CIS 725 Lecture 2
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Finite State Machine Model FSM = (A, S, T, s 0 ) A = set of actions S = set of states s 0 = initial states T = transition relation S * A S
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Communicating FSM send actions: -m or !m q ! m = send message m to q receive actions: +m or ? m q ? m = receive message from q internal actions
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Protocol A collection of CFSMs
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Asynchronous coupling Channels ch1 = channel from M to N ch2 = channel from N to M Global state: (q1, q2, x, y) q1 = state of M q2 = state of N x = messages in transit to M y = messages in transit to N
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Protocol actions Each protocol action results in a change in the global state
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Error states Deadlock states: - state from which no transition is enabled Unspecified reception: - a state in which a message exists in a channel but no transition is enabled in the state to receive it.
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Meeting appointment !meeting waiting meeting ?OK - Initial state: studying - Send a message for meeting - May decide to cancel anytime studying
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Two-process mutual exclusion: Token ring protocol - Single token circulates among two nodes - Node with the token can enter the critical section
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Request-based Token ring protocol - To get the token, send a request to the other node
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Request-based Token ring protocol no_token enter exit in_cs& req_recd token & req_recd ?req !token req_sent token ?token !req ?token !req in_cs enter exit in_cs enter exit
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Programming language style notation Guarded actions en(a) a en(a): guard of the action boolean condition or boolean condition + receive statement
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Normal form init; do en(a 1 ) a 1 [] en(a 2 ) a 2 : od
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Token-based system P1: hold = false; in_cs = false do ? token hold = true [] hold /\ not in_cs ! Token; hold =false [] hold in_cs = true [] in_cs in_cs = false od
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