皆様,
以下のように,来週水曜日,京都大学の柳澤名由太さんをお招きして講演をしていただきます。 ぜひご参加ください。
-- 片岡 俊基 (Toshiki Kataoka, http://www-mmm.is.s.u-tokyo.ac.jp/~tos/)
-------------------- Wed 30 Mar 2016, 16:30–18:00 Room 236, Chemistry Building East (“Kagaku-Higashikan”). Next to our building (School of Science Bldg. No. 7) Access: http://www-mmm.is.s.u-tokyo.ac.jp/access.html
1. Topological Theory of Distributed Computing
分散コンピューティングへの組合せトポロジー的なアプローチについて解説します.
2. A Topological Characterization of Wait-Free Solvability in the Infinite Arrival Model
We extend the topological theory of distributed computing for systems with a fixed set of n processes to that for systems with infinitely many processes. We investigate a necessary and sufficient condition for the finitely-valued colorless tasks to be wait-free solvable in such distributed systems. A finitely-valued colorless task is a task that assumes a finite set of possible input/output values, and specifies input/output relation without referring to process IDs. Our characterization only resorts to finite combinatorial structures, called finite simplicial complexes as the topological device. By restricting our attention to finitely-valued colorless tasks, we can represent possible protocol states that are innocent of process IDs by a finite simplicial complex, even if the number of participating processes is infinite.