题目:Communication interruption between an AND-OR tree and its leaves
主讲人:东京都立大学, Toshio Suzuki教授
时间:2022年1月14日下午14:00-16:00
ZOOM 会议ID: 996 1657 1217
密码: 272659
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https://zoom.us/j/99616571217?pwd=WWRlMWYxWXJROVJObnI4Mjh2Y215Zz09
摘要:We investigate a variant of an AND-OR tree where leaves are connected to internal nodes via communication channels, and these channels possibly have high probability of interruption.We let depth-first communication denote the following protocol:once an algorithm make a query to a leaf then it continuesto make queries to that leaf until return of an answer.We give a sufficient condition for an interruption probabilitysetting having the following property. For any independent andidentical distribution on the truth assignments (probability isassumed to be neither 0 nor 1), any depth-first search algorithmthat performs depth-first communication is not optimal.We give a concrete example of such interruption probabilitysetting by means of the Riemann zeta function. Our result makessharp contrast with the counterpart on the usual AND-OR tree(Tarsi) that optimal and depth-first algorithm exists.
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报告人简介:Toshio Suzuki(鈴木 登志雄),东京都立大学教授,BET9十年信誉玩家首选网址数学系,博士生导师,研究方向为数理逻辑,可计算性理论,是日本算法随机领域知名专家。主持日本JSPS科学研究基金5项,在DAM,IPL,APAL,TCS等杂志发表SCI论文40余篇.