Giorgio Audrito, Mirko Viroli, Ferruccio Damiani, Danilo Pianini, Jacob Beal  

The complexity of large-scale distributed systems, particularly when deployed in physical space, calls for new mechanisms to address composability and reusability of collective adaptive behaviour. Computational fields have been proposed as an effective abstraction to fill the gap between the macro-level of such systems (specifying a system’s collective behaviour) and the micro-level (individual devices’ actions of computation and interaction to implement that collective specification), thereby providing a basis to better facilitate the engineering of collective APIs and complex systems at higher levels of abstraction. This article proposes a full formal foundation for field computations, in terms of a core (higher-order) calculus of computational fields containing a few key syntactic constructs, and equipped with typing, denotational and operational semantics. Critically, this allows formal establishment of a link between the micro- and macro-levels of collective adaptive systems by a result of computational adequacy and abstraction for the (aggregate) denotational semantics with respect to the (per-device) operational semantics.

ACM Transactions on Computational Logic 20(1), pages 1–55, 55 pages, jan 2019, Association for Computing Machinery (ACM).

author = {Audrito, Giorgio and Viroli, Mirko and Damiani, Ferruccio and Pianini, Danilo and Beal, Jacob},
doi = {10.1145/3285956},
journal = {{ACM} Transactions on Computational Logic},
month = jan,
number = 1,
pages = {1--55},
publisher = {ACM},
title = {A Higher-Order Calculus of Computational Fields},
url = {},
volume = 20,
year = 2019}



A Higher-Order Calculus of Computational Fields

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Giorgio Audrito, Mirko Viroli, Ferruccio Damiani, Danilo Pianini, Jacob Beal

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