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The join-calculus is a process calculus developed at INRIA. The join-calculus was developed to provide a formal basis for the design of distributed programming languages, and therefore intentionally avoids communication constructs found in other process calculi, such as rendezvous communications, which are difficult to implement in a distributed setting.[1] Despite this limitation, the join-calculus is as expressive as the full π-calculus. Encodings of the π-calculus in the join-calculus, and vice versa, have been demonstrated.[1]
The join-calculus is a member of the π-calculus family of process calculi, and can be considered, at its core, an asynchronous π-calculus with several strong restrictions:[1]
Scope restriction, reception, and replicated reception are syntactically merged into a single construct, the definition;
Communication occurs only on defined names;
For every defined name there is exactly one replicated reception.
However, as a language for programming, the join-calculus offers at least one convenience over the π-calculus — namely the use of multi-way join patterns, the ability to match against messages from multiple channels simultaneously.[2]
Implementations<br>[edit]
Languages based on the join-calculus<br>[edit]
The join-calculus programming language is a new language based on the join-calculus process calculus. It is implemented as an interpreter written in OCaml, and supports statically typed distributed programming, transparent remote communication, agent-based mobility, and some failure-detection.[3]
Though not explicitly based on join-calculus, the rule system of CLIPS implements it if every rule deletes its inputs when triggered (retracts the relevant facts when fired).
Many implementations of the join-calculus were made as extensions of existing programming languages:
JoCaml is a version of OCaml extended with join-calculus primitives
Polyphonic C# and its successor Cω extend C#
MC# and Parallel C# extend Polyphonic C#
Join Java extends Java
A Concurrent Basic proposal that uses Join-calculus
JErlang (the J is for Join, Erjang is Erlang for the JVM)[4]
Embeddings in other programming languages<br>[edit]
These implementations do not change the underlying programming language but introduce join calculus operations through a custom library or DSL:
The ScalaJoins and the Chymyst libraries are in Scala
JoinHs by Einar Karttunen and syallop/Join-Language by Samuel Yallop are DSLs for Join calculus in Haskell
Joinads - various implementations of join calculus in F#
CocoaJoin is an experimental implementation in Objective-C for iOS and Mac OS X
The Join Python library in Python 3[5]
C++ via Boost[6] (for boost from 2009, ca. v. 40, current (Dec '19) is 72).
References<br>[edit]
^ a b c Cedric Fournet, Georges Gonthier (1995). "The reflexive CHAM and the join-calculus". Proceedings of POPL., pg. 1
^ Petricek, Tomas. "TryJoinads (IV.) - Concurrency using join calculus". tomasp.net. Retrieved 2023-01-24.
^ Cedric Fournet, Georges Gonthier (2000). "The Join Calculus: A Language for Distributed Mobile Programming". Applied Semantics. International Summer School, APPSEM 2000: 268–332.
^ "JErlang: Erlang with Joins". Archived from the original on 2017-12-08. Retrieved 2015-04-18.
^ Join Python, Join-calculus for Python by Mattias Andree
^ Yigong Liu - Join-Asynchronous Message Coordination and Concurrency Library
External links<br>[edit]
INRIA, Join Calculus homepage
Microsoft Research, The Join Calculus: a Language for Distributed Mobile Programming
Concurrent computing<br>General<br>Concurrency
Concurrency control
Concurrent data structures<br>Concurrent hash tables
Concurrent users
Indeterminacy
Linearizability
Process calculi<br>CSP
CCS
ACP
LOTOS
π-calculus
Ambient calculus
API-Calculus
PEPA
Join-calculus
Classic problems<br>ABA problem
Cigarette smokers problem
Deadlock
Dining philosophers problem
Producer–consumer problem
Race condition
Readers–writers problem
Sleeping barber problem
Category: Concurrent computing
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Category: Process calculi
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