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In case of PiDuce, this WSDL document also contains the schema of the service. However our semantics does not require that the schema information is sent together with the message. For example, a service receiving a message on a generic channel and forwarding it to another service does not need to know the schema of the received message. Hence a lazy implementation of schema requests is plausible. Such an implementation downloads schemas only if they are needed by the pattern matching algorithm in the communication and the invocation rules.
G. Meredith them. It is worth noticing that, due to the subschema relation, the static semantics also entails subtyping polymorphism. The static semantics is demonstrated to be sound; this yields a subject reduction property (a well-typed process transits to well typed processes) and a progress property (a well-typed process does not get stuck). Related Works. PiDuce has been strongly influenced by XDuce, a functional language for XML processing [12]. In XDuce, values do not carry channels, and the subschema relation is never needed at run-time.
1. If Γ 2. If Γ V : S and S <: T + R then either S <: T or S <: R. V : S and S <: schof(F ) then there is σ such that Γ (Γ )u[V ] V ∈ F ❀ σ. u(F ) u(F ) 3. If Γ P , P → and P → then there are F and σ such that P → and Γ + Γ V ∈ F ❀ σ. Proof. The proof of items 1 and 2 are simple and therefore omitted. As regards u(F ) item 3, we consider the proof of P → . By Theorem 1(2) applied to Γ u(F ) P and u(F ) P → we obtain Γ u : S . Then, we consider the proof tree of P → . P , for some Γ . This judgment must have been proved with an i i i i∈I instance of (inp) that yields S <: j∈I,uj =u schof(Fi ).