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Torben Amtoft

Causal type system for ambient movements

Submitted for publication, 2002


The Ambient Calculus was developed by Cardelli and Gordon as a formal framework to study issues of mobility and migrant code. We present a type system for the calculus, parameterized by security constraints expressing where a given ambient may reside and where it may be dissolved. A subject reduction property then guarantees that a well-typed process never violates these constraints; additionally it ensures that communicating subprocesses agree on their “topic of conversation''. Based on techniques borrowed from finite automata theory, type checking of type-annotated processes is decidable. The type system employs a notion of causality in that processes are assigned “behaviors''. This significantly increases the precision of the analysis and compensates for the lack of “co-capabilities'' (an otherwise increasingly popular extension to the ambient calculus); also it allows (in contrast to other approaches) an ambient to hold multiple topics of conversation.


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