Title
Connector algebras for C/E and P/T nets' interactions.
Abstract
A quite flourishing research thread in the recent literature on componentbased systems is concerned with the algebraic properties of different classes of connectors. In a recent paper, an algebra of stateless connectors was presented that consists of fi ve kinds of basic connectors, namely symmetry, synchronization, mutual exclusion, hiding and inaction, plus their duals, and it was shown how they can be freely composed in series and in parallel to model sophisticated "glues". In this paper we explore the expressiveness of stateful connectors obtained by adding one-place buffers or unbounded buffers to the stateless connectors. The main results are: i) we show how different classes of connectors exactly correspond to suitable classes of Petri nets equipped with compositional interfaces, called nets with boundaries; ii) we show that the difference between strong and weak semantics in stateful connectors is re flected in the semantics of nets with boundaries by moving from the classic step semantics (strong case) to a novel banking semantics (weak case), where a step can be executed by taking some "debit" tokens to be given back during the same step; iii) we show that the corresponding bisimilarities are congruences (w. r. t. composition of connectors in series and in parallel); iv) we show that suitable monoidality laws, like those arising when representing stateful connectors in the tile model, can nicely capture concurrency (in the sense of step semantics) aspects; and v) as a side result, we provide a basic algebra, with a fi nite set of symbols, out of which we can compose all P/T nets with boundaries, ful fi lling a long standing quest.
Year
DOI
Venue
2013
10.2168/LMCS-9(3:16)2013
LOGICAL METHODS IN COMPUTER SCIENCE
Keywords
Field
DocType
C/E nets with boundaries,P/T nets with boundaries,connector algebras,tiles
Discrete mathematics,Petri net,Concurrency,Computer science,Elementary algebra,Thread (computing),Stateful firewall,Congruence relation,Mutual exclusion,Stateless protocol
Journal
Volume
Issue
ISSN
9
3
1860-5974
Citations 
PageRank 
References 
20
0.89
32
Authors
4
Name
Order
Citations
PageRank
Roberto Bruni1123880.58
Hernán C. Melgratti28213.49
Ugo Montanari362971135.53
Paweł Sobociński460945.57