PPT-Multidimensional Approximate agreement in byzantine

asynchornous systems Hammurabi Mendes Maurice Herlihy Presented By Gil Einziger 1 Model And assumptions A synchronous message passing t processes that may crush or fail and even be byzantine. washingtonedu Thomas Moscibroda Microsoft Research Asia moscithomicrosoftcom Siddhartha Sen Princeton University sssixcsprincetonedu ABSTRACT In the Byzantine agreement problem a set of processors any of whom may be arbitrarily faulty must reach agre Michael Ben-Or. The Hebrew University. Michael Rabin’s Birthday Celebration. Randomized Protocols. Power of Randomization. Exponential . speedup for known algorithms. Complexity . – The jury is still out . Xavier . Mancero. Statistics Division, ECLAC. Seminar on poverty measurement. Geneva, 5-6 May 2015. Background. Income provides an incomplete assessment of living standards. . Possible bias characterizing poverty . input data are ranks: most similar pair AB. <. CB. <. AC most different pair, or input data are rating scales: (very similar 1. . .9 very different), but we don't believe in assuming interval level property of data.. aka Eastern Roman Empire. Byzantine Empire. ". Byzantine" derives from Byzantium, an ancient Greek colony founded by a man named . Byzas. . . Located . on the European side of the Bosporus (the strait linking the Black Sea to the Mediterranean), . 610-1070. Strains on the Empire. Avars. Slavs. Persians. And after 632 the Muslims. Heraclius. Came to power amid military disaster. Avars. , Slavs, and Persians were all attacking the empire at once. Kai Sun. *Some slides are borrowed from Ken Birman, Andrea C. . Arpaci-Dusseau. , Eleanor . Birrell. , . Zhiyuan. . Teo. , . and . Indranil. Gupta. So Far We’ve Talked About. State machine replication. Dates: 330-1500. Map of the Byzantine Empire. Byzantine Empire. The Byzantine Empire was the continuation of the Roman Empire in the Greek speaking, eastern part of the Mediterranean. . Byzantium was the name of a small, but important town at the . Yee . Jiun. Song. Cornell University. CS5410 Fall 2008. . Fault Tolerant Systems. By now, probably obvious that systems reliability/availability is a key concern. Downtime is expensive. Replication is a general technique for providing fault tolerance. What is agreement?. What is agreement?. A. ttack, or. R. etreat?. What is agreement?. A. ttack, or. R. etreat?. Attack!. Attack!. Attack!. What is agreement?. A. ttack, or. R. etreat?. Attack!. Attack!. Roman Imperial . in its form of government;. Orthodox Christian . in religion. Greek . in its culture and language. From Eastern Roman to Byzantine Empire. Constantinople. – imperial capital; center of a world empire; a Christian city under the protection of God; . Capital: Byzantium. On the Bosporus. Commercial, strategic value of location. Constantine names capital after himself (Constantinople), moves capital there 330 CE. 1453 falls to Turks, renamed Istanbul. academy.zariba.com. 1. Lecture Content. Matrices and Multidimensional Arrays. The . Array. Class. Structs and Array.Sort. 2. Multidimensional Arrays. 3. . An . array. is . multidimensional. if it has more than one . Western CivilizationCodified Roman LawUnder Emperor Justinian Byzantine legal experts collected and arranged Roman lawMain source of law remained enactments of emperorsLaws became more extensive regul