A derivation of a broadcasting protocol using sequentially phased reasoning

Abstract: In [SR89a, SR89b, SR89c] a principle has been formulated for designing, hence verifying, distributed algorithms from a particular class. This class consists of algorithms in which processes in a network perform a certain task which can be decomposed into a number of subtasks as if they are performed sequentially from a logical point of view, although from an operational point of view they are performed concurrently (cf. [GHS83, Hu83, MS79, Se82, Se83, ZS80]).

[1]  Adrian Segall,et al.  Decentralized maximum-flow protocols , 1982, Networks.

[2]  Nissim Francez,et al.  Decomposition of Distributed Programs into Communication-Closed Layers , 1982, Sci. Comput. Program..

[3]  Eli Gafni,et al.  Understanding and verifying distributed algorithms using stratified decomposition , 1988, PODC '88.

[4]  Pierre A. Humblet,et al.  A Distributed Algorithm for Minimum-Weight Spanning Trees , 1983, TOPL.

[5]  Edsger W. Dijkstra,et al.  A Discipline of Programming , 1976 .

[6]  Doron A. Peled,et al.  Interleaving set temporal logic , 1987, PODC '87.

[7]  Willem P. de Roever,et al.  Designing Distributed Algorithms by Means of Formal Sequentially Phased Reasoning (Extended Abstract) , 1989, WDAG.

[8]  Adrian Segall,et al.  A distributed shortest path protocol , 1981 .

[9]  Adrian Segall,et al.  Distributed network protocols , 1983, IEEE Trans. Inf. Theory.

[10]  Pierre A. Humblet.  A Distributed Algorithm for Minimum Weight Directed Spanning Trees , 1983, IEEE Trans. Commun..

[11]  Adrian Segall,et al.  A Failsafe Distributed Routing Protocol , 1979, IEEE Trans. Commun..

[12]  Adrian Segall.  Decentralized maximum flow algorithms , 1979 .

[13]  Richard D. Schlichting,et al.  Using message passing for distributed programming: proof rules and disciplines , 1984, TOPL.

[14]  K. Mani Chandy,et al.  Parallel program design - a foundation , 1988 .

[15]  Willem P. de Roever,et al.  The evolution of list-copying algorithms and the need for structured program verification , 1979, POPL.

[16]  Kaisa Sere,et al.  Stepwise Refinement of Action Systems , 1991, Struct. Program..