Results 1  10
of
53
Decoding Choice Encodings
, 1999
"... We study two encodings of the asynchronous #calculus with inputguarded choice into its choicefree fragment. One encoding is divergencefree, but refines the atomic commitment of choice into gradual commitment. The other preserves atomicity, but introduces divergence. The divergent encoding is ..."
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Cited by 96 (5 self)
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We study two encodings of the asynchronous #calculus with inputguarded choice into its choicefree fragment. One encoding is divergencefree, but refines the atomic commitment of choice into gradual commitment. The other preserves atomicity, but introduces divergence. The divergent encoding is fully abstract with respect to weak bisimulation, but the more natural divergencefree encoding is not. Instead, we show that it is fully abstract with respect to coupled simulation, a slightly coarserbut still coinductively definedequivalence that does not enforce bisimilarity of internal branching decisions. The correctness proofs for the two choice encodings introduce a novel proof technique exploiting the properties of explicit decodings from translations to source terms.
Proof Techniques for Cryptographic Processes
 in 14th Annual IEEE Symposium on Logic in Computer Science
, 1999
"... Contextual equivalences for cryptographic process calculi, like the spicalculus, can be used to reason about correctness of protocols, but their definition suffers from quantification over all possible contexts. Here, we focus on two such equivalences, namely maytesting and barbed equivalence, and ..."
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Cited by 60 (8 self)
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Contextual equivalences for cryptographic process calculi, like the spicalculus, can be used to reason about correctness of protocols, but their definition suffers from quantification over all possible contexts. Here, we focus on two such equivalences, namely maytesting and barbed equivalence, and investigate tractable proof methods for them. To this aim, we design an enriched labelled transition system, where transitions are constrained by the knowledge the environment has of names and keys. The new transition system is then used to define a trace equivalence and a weak bisimulation equivalence, that avoid quantification over contexts. Our main results are soundness and completeness of trace and weak bisimulation equivalence with respect to maytesting and barbed equivalence, respectively. They lead to more direct proof methods for equivalence checking. The use of these methods is illustrated with a few examples, concerning implementation of secure channels and verification of proto...
Graph Types For Monadic Mobile Processes
 University of Edinburgh
, 1996
"... . While types for name passing calculi have been studied extensively in the context of sorting of polyadic ßcalculus [5, 34, 9, 28, 32, 19, 33, 10, 17], the same type abstraction is not possible in the monadic setting, which was left as an open issue by Milner [21]. We solve this problem with an ex ..."
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Cited by 59 (7 self)
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. While types for name passing calculi have been studied extensively in the context of sorting of polyadic ßcalculus [5, 34, 9, 28, 32, 19, 33, 10, 17], the same type abstraction is not possible in the monadic setting, which was left as an open issue by Milner [21]. We solve this problem with an extension of sorting which captures dynamic aspects of process behaviour in a simple way. Equationally this results in the full abstraction of the standard encoding of polyadic ßcalculus into the monadic one: the sorted polyadic ßterms are equated by a basic behavioural equality in the polyadic calculus if and only if their encodings are equated in a basic behavioural equality in the typed monadic calculus. This is the first result of this kind we know of in the context of the encoding of polyadic name passing, which is a typical example of translation of highlevel communication structures into ß calculus. The construction is general enough to be extendable to encodings of calculi with mo...
A coinductive calculus of streams
, 2005
"... We develop a coinductive calculus of streams based on the presence of a final coalgebra structure on the set of streams (infinite sequences of real numbers). The main ingredient is the notion of stream derivative, which can be used to formulate both coinductive proofs and definitions. In close analo ..."
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Cited by 25 (9 self)
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We develop a coinductive calculus of streams based on the presence of a final coalgebra structure on the set of streams (infinite sequences of real numbers). The main ingredient is the notion of stream derivative, which can be used to formulate both coinductive proofs and definitions. In close analogy to classical analysis, the latter are presented as behavioural differential equations. A number of applications of the calculus are presented, including difference equations, analytical differential equations, continued fractions, and some problems from discrete mathematics and combinatorics.
Relational Reasoning about Contexts
 HIGHER ORDER OPERATIONAL TECHNIQUES IN SEMANTICS, PUBLICATIONS OF THE NEWTON INSTITUTE
, 1998
"... ..."
Bisimulation Proof Methods for Mobile Ambients
 IN PROC. OF ICALP’03, VOLUME 2719 OF LNCS
, 2003
"... We study the behavioural theory of Cardelli and Gordon's Mobile Ambients. We give an LTS based operational semantics, and a labelled bisimulation based equivalence that coincides with reduction barbed congruence. We also provide two upto proof techniques that we use to prove a set of algebraic laws ..."
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Cited by 19 (3 self)
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We study the behavioural theory of Cardelli and Gordon's Mobile Ambients. We give an LTS based operational semantics, and a labelled bisimulation based equivalence that coincides with reduction barbed congruence. We also provide two upto proof techniques that we use to prove a set of algebraic laws, including the perfect firewall equation.
A Process Calculus for Mobile Ad Hoc Networks
"... Abstract. We present the ωcalculus, a process calculus for formally modeling and reasoning about Mobile Ad Hoc Wireless Networks (MANETs) and their protocols. The ωcalculus naturally captures essential characteristics of MANETs, including the ability of a MANET node to broadcast a message to any o ..."
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Cited by 19 (1 self)
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Abstract. We present the ωcalculus, a process calculus for formally modeling and reasoning about Mobile Ad Hoc Wireless Networks (MANETs) and their protocols. The ωcalculus naturally captures essential characteristics of MANETs, including the ability of a MANET node to broadcast a message to any other node within its physical transmission range (and no others), and to move in and out of the transmission range of other nodes in the network. A key feature of the ωcalculus is the separation of a node’s communication and computational behavior, described by an ωprocess, from the description of its physical transmission range, referred to as an ωprocess interface. Our main technical results are as follows. We give a formal operational semantics of the ωcalculus in terms of labeled transition systems and show that the state reachability problem is decidable for finitecontrol ωprocesses. We also prove that the ωcalculus is a conservative extension of the πcalculus, and that late bisimulation (appropriately lifted from the πcalculus to the ωcalculus) is a congruence. Congruence results are also established for a weak version of late bisimulation, which abstracts away from two types of internal actions: τactions, as in the πcalculus, and µactions, signaling node movement. Finally, we illustrate the practical utility of the calculus by developing and analyzing a formal model of a leaderelection protocol for MANETs. 1
Generalised Coinduction
, 2001
"... We introduce the lambdacoiteration schema for a distributive law lambda of a functor T over a functor F. Under certain conditions it can be shown to uniquely characterise functions into the carrier of a final Fcoalgebra, generalising the basic coiteration schema as given by finality. The duals of ..."
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Cited by 16 (3 self)
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We introduce the lambdacoiteration schema for a distributive law lambda of a functor T over a functor F. Under certain conditions it can be shown to uniquely characterise functions into the carrier of a final Fcoalgebra, generalising the basic coiteration schema as given by finality. The duals of primitive recursion and courseofvalue iteration, which are known extensions of coiteration, arise as instances of our framework. One can furthermore obtain schemata justifying recursive specifications that involve operators such as addition of power series, regular operators on languages, or parallel and sequential composition of processes. Next...
Solo Diagrams
 PROCEEDINGS OF TACS 2001
, 2001
"... We address the problems of implementing the
replication operator efficiently in the solos calculusa calculus of
mobile processes without prefix. This calculus is expressive enough to
admit an encoding of the whole fusion calculus and thus the
picalculus.
We show that nested occurrences of replic ..."
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Cited by 14 (2 self)
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We address the problems of implementing the
replication operator efficiently in the solos calculusa calculus of
mobile processes without prefix. This calculus is expressive enough to
admit an encoding of the whole fusion calculus and thus the
picalculus.
We show that nested occurrences of replication can be avoided, that
the size of replicated terms can be limited to three particles, and
that the usual unfolding semantics of replication can be replaced by
three simple reduction rules. To illustrate the results and show how
the calculus can be efficiently implemented we present a graphic
representation of agents in the solos calculus, adapting ideas from
interaction diagrams and pinets.
Linear Forwarders
, 2007
"... A linear forwarder is a process that receives one message on a channel and sends it on a different channel. We use linear forwarders to provide a distributed implementation of Milner’s asynchronous pi calculus. Such a distributed implementation is known to be difficult due to input capability, where ..."
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Cited by 14 (6 self)
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A linear forwarder is a process that receives one message on a channel and sends it on a different channel. We use linear forwarders to provide a distributed implementation of Milner’s asynchronous pi calculus. Such a distributed implementation is known to be difficult due to input capability, where a received name is used as the subject of a subsequent input. This allows the dynamic creation of large input processes in the wrong place, thus requiring comparatively large code migrations in order to avoid consensus problems. Linear forwarders constitute a small atom of input capability that is easy to move. We show that the full input capability can be simply encoded using linear forwarders. We also design a distributed machine, demonstrating the ease with which we can implement the pi calculus using linear forwarders. We also show that linear forwarders allow for a simple encoding of distributed choice and have “clean” behaviour in the presence of failures.