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Initially, the live variables of a node n ∈ N are those appearing in its labeling ν(n) and in the enabling conditions of the transitions on outgoing edges: L0 (n) = vars(ν(n)) ∪ (n,m)∈E,τ ∈η(n,m) vars(enabled (τ )). Then, this labeling is updated according to dependencies through transition relations on edges. For a predicate q we let vars(q) denote the set of its free variables. For a transition relation τ and a set of variables X we let dependτ (X) denote the set of variables that potentially influence the value of variables in X when τ is taken: for τ = i gi (V ) ∧ i ti (V, V ), depend τ (X) = W ∩ V , where W is the smallest set of variables such that X ⊆ W , for all i, vars(gi ) ⊆ W , and for all i with vars(ti ) ∩ W = ∅, vars(ti ) ⊆ W .

The process d∈Δ P (d), where Δ is a (infinite) data domain, behaves as P (d1 ) + P (d2 ) + · · · . The customer process. In μcrl spec 1 we specify the customer’s compliant device role in the P2C protocol of the Nuovo DRM scheme. In this specification, Nonce and Key represent the finite set of nonces and keys available in the protocol, respectively. The set Ω is C’s local collection of content-right bundles, nC denotes the nonce that is available to C in the current protocol round, and the function nxt : Nonce → Nonce, given a seed, generates a fresh random nonce.

Owner (D) → D : 2. D→C: 3. C→D: 4. D→C: 5. C→D: C, h(M ), R D, nD {nC , nD , D}sk (C) {nD , nC , h(M ), R , C}sk (D) {M }K , {K }pk (D) , {R , nD }sk (C) This protocol is similar to the P2C protocol and only the abstract actions are described here: at step 4, D takes the action request(D, h(M ), R , C) when sending out the message which represents its payment. At step 5, C performs issue(C, h(M ), R , D) and in the same atomic action updates the right associated with M (reflecting that some part of RC (M ) has been used for reselling M ) and stores the payment order signed by D.

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