TY - GEN
T1 - Congruence results of scope equivalence for a graph rewriting model of concurrent programs
AU - Murakami, Masaki
PY - 2008/9/22
Y1 - 2008/9/22
N2 - This paper presents a formal model of concurrent systems based on graph rewriting to represent scopes of communication channel names precisely. A bipartite directed acyclic graph represents a concurrent system consists of a number of processes and messages. Each process or message corresponds to a source node of the graph. Names of communication channel in the system are sink nodes. The edges of the graph represent the scopes of the names in the system. The operational semantics of the system is given as a labeled transition system. The model presented here makes it possible to represent local names that their scope are not nested. We define an equivalence relation that two systems are equivalent not only in their behavior but in extrusions of scopes of names. We show that the equivalence relation is a congruence relation wrt prefix, new-name, replication and composition.
AB - This paper presents a formal model of concurrent systems based on graph rewriting to represent scopes of communication channel names precisely. A bipartite directed acyclic graph represents a concurrent system consists of a number of processes and messages. Each process or message corresponds to a source node of the graph. Names of communication channel in the system are sink nodes. The edges of the graph represent the scopes of the names in the system. The operational semantics of the system is given as a labeled transition system. The model presented here makes it possible to represent local names that their scope are not nested. We define an equivalence relation that two systems are equivalent not only in their behavior but in extrusions of scopes of names. We show that the equivalence relation is a congruence relation wrt prefix, new-name, replication and composition.
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U2 - 10.1007/978-3-540-85762-4_17
DO - 10.1007/978-3-540-85762-4_17
M3 - Conference contribution
AN - SCOPUS:51849169422
SN - 3540857613
SN - 9783540857617
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 243
EP - 257
BT - Theoretical Aspects of Computing - ICTAC 2008 - 5th International Colloquium, Proceedings
T2 - 5th International Colloquium on Theoretical Aspects of Computing, ICTAC 2008
Y2 - 1 September 2008 through 3 September 2008
ER -