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- From: gpham@lanai.cs.ucla.edu (Gisele Pham)
- Subject: GENERALIZED FLP IMPOSSIBILITY RESULT FOR t-RESILIENT ...
- Message-ID: <1992Nov23.182148.11382@cs.ucla.edu>
- Keywords: CS201 Seminar
- Sender: usenet@cs.ucla.edu (Mr Usenet)
- Nntp-Posting-Host: lanai.cs.ucla.edu
- Organization: UCLA, Computer Science Department
- Distribution: la
- Date: Mon, 23 Nov 92 18:21:48 GMT
- Lines: 42
-
- DATE Tuesday December 1, 1992
- TIME 4:30-6:00 P.M.
- PLACE 3400 Boelter Hall
- Cookies & Coffee Will Be Served
- Starting at 4:00 PM
-
- GENERALIZED FLP IMPOSSIBILITY RESULT FOR
- t-RESILIENT ASYNCHRONOUS COMPUTATIONS.
- Eli Gafni
- Computer Science Department
- UCLA
-
- ABSTRACT
- Demarcation of the border between solvable and unsolvable distributed
- tasks under various models is the holy grail of the theory of
- distributed computing. One of the most celebrated of these results
- is (FLP) which established the impossibility of asynchronous
- consensus that can tolerate a single undetected fail-stop processor.
- Indeed, it has led to the precise characterization of tasks solvable
- and unsolvable under single fault. In this talk we show how to
- generalize FLP to multiple faults, and in the process resolves a
- number of open problems.
-
- We diverge from the classic FLP in studying the ``leader election''
- problem, and arguing impossibility within the wait-free context only.
- Then we show that the wait-free version t-equivalent to the
- non-wait-free one. Concentrating on the wait-free version for
- impossibility allows us to deal with bounded executions and views
- of processors there in. We prove the impossibility using a variant
- of the k-dimensional Sperner Lemma. When k=1 we obtain a completely
- different simple proof of the FLP result.
-
- We show that ``multiple leader election'' is fundamental by reducing
- to it the previously suggested problems of k-set consensus,
- k-set test-and- set, and renaming, thus resolving when these problems
- are solvable and when they are not. A by-product of our proof
- technique is a wait-free read/write simulation of t-resilient
- computation by t+1-processors, which shows that resilient computations
- can be investigated by concentrating on the corresponding waitfree
- computation.
-
- (Joint work with Elizabeth Borowsky)
-