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Algebraic Topology and Decidability in Distributed Computing

Algebraic Topology and Decidability in Distributed Computing

Algebraic Topology and Decidability in Distributed Computing. Maurice Herlihy Brown University. Joint work with Sergio Rajsbaum, Nir Shavit, and Mark Tuttle. Overview. Applications of algebraic topology to fault-tolerant computing especially decidability issues Known results

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689 views • 52 slides
Algebraic Topology and Decidability in Distributed Computing

Algebraic Topology and Decidability in Distributed Computing

Algebraic Topology and Decidability in Distributed Computing. Maurice Herlihy Brown University. Joint work with Sergio Rajsbaum, Nir Shavit, and Mark Tuttle. Overview. Applications of algebraic topology to fault-tolerant computing especially decidability issues Known results

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541 views • 52 slides
An Axiomatic Approach to Computing the Connectivity of Synchronous and Asynchronous Systems

An Axiomatic Approach to Computing the Connectivity of Synchronous and Asynchronous Systems

An Axiomatic Approach to Computing the Connectivity of Synchronous and Asynchronous Systems. Maurice Herlihy Microsoft Research & Brown University Joint work with Sergio Rajsbaum & Mark Tuttle. Consensus: Each Thread has a Private Input. 19. 32. 21. They Communicate.

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483 views • 48 slides
Algebraic Topology and Distributed Computing

Algebraic Topology and Distributed Computing

Algebraic Topology and Distributed Computing. Maurice Herlihy Brown University. Overview. Focus on applications of algebraic topology to fault-tolerant computing model techniques Joint work with Sergio Rajsbaum, Nir Shavit, Mark Tuttle. First Part of Talk. Focus on one problem Consensus

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394 views • 39 slides
Sergey Velder

Sergey Velder

1 / 16. Topological Theory of Distributed Computing. Sergey Velder. SPbSU ITMO. 2 / 16. Process simplicial complex. Vertex color is a process ID. Vertex value is a process state. Simplex is a global state . Complex is a set of global states. 3 / 16. Manifolds.

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288 views • 20 slides

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