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Model state
Definition 1. A state of a model $\mathbf{A} = (D, B, \alpha^0)$, where $D = (A, C, \sigma)$ and $A = \{X_1,...,X_n\}$ is a tuple
$$S = (S(X_1),\dots,S(X_n)).$$
Definition 2. The initial state is defined as follows:
- am(X) = X, for any active agent X such that σ(X) = True.
- am(X) = I, for any active agent X such that σ(X) = False.
- am(X) = W, for any passive agent X.
- pc(X) = 1 for any active agent X in the running mode and pc(X) = 0 for other agents.
- ci(X) = [ ] for any active agent X.
- ci(X) contains names of all accessible procedures of X together with the direction of parameters transfer, e.g. in(a), out(b), etc. for any passive agent X.
- For any agent X, pv(X) contains X parameters with their initial values.
Example: Sender-Buffer-Receiver system
agent Sender { loop { -- 1 comments contain steps numbers out put; -- 2 } } agent Buffer { i :: Int = 0; proc (i == 0) put { in put; -- 1 i = 1; -- 2 } proc (i /= 0) get { out get; -- 3 i = 0; -- 4 } } agent Receiver { loop { -- 1 in get; -- 2 } }
Initial state:
S_0 = ((X,1,[],()), (W,0,[in(put)],(0)), (X,1,[],()))
See also: Sender-Buffer-Receiver example