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A number of recent works have investigated the notion of computational fields as a means of coordinating systems in distributed, dense and dynamic environments such as pervasive computing, sensor networks, and robot swarms. We introduce a minimal core calculus meant to capture the key ingredients of languages that make use of computational fields: functional composition of fields, functions over fields, evolution of fields over time, construction of fields of values from neighbours, and restriction of a field computation to a sub-region of the network. We formalise a notion of type soundness for the calculus that encompasses the concept of domain alignment, and present a sound static type inference system. This calculus and its type inference system can act as a core for actual implementation of coordination languages and models, as well as to pave the way towards formal analysis of properties concerning expressiveness, self-stabilisation, topology independence, and relationships with the continuous space–time semantics of spatial computations.
keywordsComputational field, Core calculus, Operational semantics, Spatial computing, Type soundness
Science of Computer Programming (SCP)
CINA — Compositionality, Interaction, Negotiation, Autonomicity for the future ICT society (01/01/2013–31/12/2015)