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HASKELL
2006
ACM
15 years 9 months ago
Statically typed linear algebra in Haskell
Many numerical algorithms are specified in terms of operations on vectors and matrices. Matrix operations can be executed extremely efficiently using specialized linear algebra k...
Frederik Eaton
115
Voted
CORR
2010
Springer
79views Education» more  CORR 2010»
15 years 3 months ago
A Multi-hop Multi-source Algebraic Watchdog
In our previous work (`An Algebraic Watchdog for Wireless Network Coding'), we proposed a new scheme in which nodes can detect malicious behaviors probabilistically, police th...
MinJi Kim, Muriel Médard, João Barro...
161
Voted
ISSAC
1997
Springer
194views Mathematics» more  ISSAC 1997»
15 years 7 months ago
The Minimised Geometric Buchberger Algorithm: An Optimal Algebraic Algorithm for Integer Programming
IP problems characterise combinatorial optimisation problems where conventional numerical methods based on the hill-climbing technique can not be directly applied. Conventional me...
Qiang Li, Yike Guo, Tetsuo Ida, John Darlington
118
Voted
LICS
2009
IEEE
15 years 10 months ago
An Algebra for Kripke Polynomial Coalgebras
Several dynamical systems, such as deterministic automata and labelled transition systems, can be described as coalgebras of so-called Kripke polynomial functors, built up from co...
Marcello M. Bonsangue, Jan J. M. M. Rutten, Alexan...
LICS
2008
IEEE
15 years 10 months ago
An Algebraic Process Calculus
We present an extension of the πI-calculus with formal sums of terms. The study of the properties of this sum reveals that its neutral element can be used to make assumptions abo...
Emmanuel Beffara