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Algebraic structures / Ring theory / Binary operations / Matrix theory / Semiring / Matrix / Idempotence / Tropical geometry / Diagonal matrix / Algebra / Mathematics / Abstract algebra


Fun with Semirings A functional pearl on the abuse of linear algebra Stephen Dolan
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Document Date: 2013-07-16 20:06:40


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City

Cambridge / London / /

Company

Stephen Dolan Computer Laboratory / USEC / The times / /

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Event

Reorganization / /

Facility

Trinity College / University of Cambridge stephen.dolan@cl.cam.ac.uk Abstract / Stanford University / /

IndustryTerm

shortest-paths algorithm / distributive law / elegant solution / sharpest tools / event systems / machinery / above closure algorithm / shortest path algorithms / pseudo-polynomial time algorithm / signal processing / closure algorithm / list indexing operator / graph algorithms / linear systems / iterative algorithms / previously-defined semiring machinery / /

Organization

Trinity College / American Mathematical Society / University of Cambridge stephen.dolan@cl.cam.ac.uk Abstract / Stanford University / /

Person

Raphael Proust / Alan Mycroft / Ai / McIlroy / /

Position

head / Acknowledgments The author / programmer / /

ProgrammingLanguage

Haskell / /

PublishedMedium

Journal of the ACM / Theoretical Computer Science / Communications of the ACM / /

SportsLeague

Stanford University / /

Technology

same closure algorithm / graph algorithms / functional programming / McNaughton-Yamada algorithm / FloydWarshall algorithm / shortest-paths algorithm / finite state machine / above closure algorithm / shortest path algorithms / machine learning / pseudo-polynomial time algorithm / Computer Algorithms / two algorithms / /

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