1,349 research outputs found
Comparing the expressive power of the Synchronous and the Asynchronous pi-calculus
The Asynchronous pi-calculus, as recently proposed by Boudol and,
independently, by Honda and Tokoro, is a subset of the pi-calculus which
contains no explicit operators for choice and output-prefixing. The
communication mechanism of this calculus, however, is powerful enough to
simulate output-prefixing, as shown by Boudol, and input-guarded choice, as
shown recently by Nestmann and Pierce. A natural question arises, then, whether
or not it is possible to embed in it the full pi-calculus. We show that this is
not possible, i.e. there does not exist any uniform, parallel-preserving,
translation from the pi-calculus into the asynchronous pi-calculus, up to any
``reasonable'' notion of equivalence. This result is based on the incapablity
of the asynchronous pi-calculus of breaking certain symmetries possibly present
in the initial communication graph. By similar arguments, we prove a separation
result between the pi-calculus and CCS.Comment: 10 pages. Proc. of the POPL'97 symposiu
On the Expressiveness of Intensional Communication
The expressiveness of communication primitives has been explored in a common
framework based on the pi-calculus by considering four features: synchronism
(asynchronous vs synchronous), arity (monadic vs polyadic data), communication
medium (shared dataspaces vs channel-based), and pattern-matching (binding to a
name vs testing name equality). Here pattern-matching is generalised to account
for terms with internal structure such as in recent calculi like Spi calculi,
Concurrent Pattern Calculus and Psi calculi. This paper explores intensionality
upon terms, in particular communication primitives that can match upon both
names and structures. By means of possibility/impossibility of encodings, this
paper shows that intensionality alone can encode synchronism, arity,
communication-medium, and pattern-matching, yet no combination of these without
intensionality can encode any intensional language.Comment: In Proceedings EXPRESS/SOS 2014, arXiv:1408.127
On the Expressiveness of Joining
The expressiveness of communication primitives has been explored in a common
framework based on the pi-calculus by considering four features: synchronism
(asynchronous vs synchronous), arity (monadic vs polyadic data), communication
medium (shared dataspaces vs channel-based), and pattern-matching (binding to a
name vs testing name equality vs intensionality). Here another dimension
coordination is considered that accounts for the number of processes required
for an interaction to occur. Coordination generalises binary languages such as
pi-calculus to joining languages that combine inputs such as the Join Calculus
and general rendezvous calculus. By means of possibility/impossibility of
encodings, this paper shows coordination is unrelated to the other features.
That is, joining languages are more expressive than binary languages, and no
combination of the other features can encode a joining language into a binary
language. Further, joining is not able to encode any of the other features
unless they could be encoded otherwise.Comment: In Proceedings ICE 2015, arXiv:1508.04595. arXiv admin note:
substantial text overlap with arXiv:1408.145
A criterion for separating process calculi
We introduce a new criterion, replacement freeness, to discern the relative
expressiveness of process calculi. Intuitively, a calculus is strongly
replacement free if replacing, within an enclosing context, a process that
cannot perform any visible action by an arbitrary process never inhibits the
capability of the resulting process to perform a visible action. We prove that
there exists no compositional and interaction sensitive encoding of a not
strongly replacement free calculus into any strongly replacement free one. We
then define a weaker version of replacement freeness, by only considering
replacement of closed processes, and prove that, if we additionally require the
encoding to preserve name independence, it is not even possible to encode a non
replacement free calculus into a weakly replacement free one. As a consequence
of our encodability results, we get that many calculi equipped with priority
are not replacement free and hence are not encodable into mainstream calculi
like CCS and pi-calculus, that instead are strongly replacement free. We also
prove that variants of pi-calculus with match among names, pattern matching or
polyadic synchronization are only weakly replacement free, hence they are
separated both from process calculi with priority and from mainstream calculi.Comment: In Proceedings EXPRESS'10, arXiv:1011.601
Synchrony vs Causality in the Asynchronous Pi-Calculus
We study the relation between process calculi that differ in their either
synchronous or asynchronous interaction mechanism. Concretely, we are
interested in the conditions under which synchronous interaction can be
implemented using just asynchronous interactions in the pi-calculus. We assume
a number of minimal conditions referring to the work of Gorla: a "good"
encoding must be compositional and preserve and reflect computations,
deadlocks, divergence, and success. Under these conditions, we show that it is
not possible to encode synchronous interactions without introducing additional
causal dependencies in the translation.Comment: In Proceedings EXPRESS 2011, arXiv:1108.407
Expressiveness of Process Algebras
AbstractWe examine ways to measure expressiveness of process algebras, and recapitulate and compare some related results from the literature
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