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» Challenges in Computational Commutative Algebra
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AMAST
2008
Springer
13 years 7 months ago
Petri Nets Are Dioids
In a seminal paper Montanari and Meseguer showed that an algebraic interpretation of Petri nets in terms of commutative monoids can be used to provide an elegant characterisation o...
Paolo Baldan, Fabio Gadducci
STACS
2007
Springer
13 years 12 months ago
On Fixed Point Equations over Commutative Semirings
Fixed point equations x = f(x) over ω-continuous semirings can be seen as the mathematical foundation of interprocedural program analysis. The sequence 0, f(0), f2 (0), . . . conv...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
FSTTCS
2009
Springer
14 years 10 days ago
The Power of Depth 2 Circuits over Algebras
We study the problem of polynomial identity testing (PIT) for depth 2 arithmetic circuits over matrix algebra. We show that identity testing of depth 3 (ΣΠΣ) arithmetic circuit...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
BIRTHDAY
2003
Springer
13 years 9 months ago
On the Difference Problem for Semilinear Power Series
We prove in this paper that if r and s are two semilinear power series in commuting variables and s has bounded coefficients, then r-s is a rational series. This result can be tho...
Ion Petre
AISC
1994
Springer
13 years 10 months ago
Using Commutativity Properties for Controlling Coercions
This paper investigates some soundness conditions which have to be fulfilled in systems with coercions and generic operators. A result of Reynolds on unrestricted generic operators...
Stephan A. Missura, Andreas Weber