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» On Fixed Point Equations over Commutative Semirings
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STACS
2007
Springer
13 years 11 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...
DLT
2008
13 years 6 months ago
Derivation Tree Analysis for Accelerated Fixed-Point Computation
We show that for several classes of idempotent semirings the least fixed-point of a polynomial system of equations X = f(X) is equal to the least fixed-point of a linear system obt...
Javier Esparza, Stefan Kiefer, Michael Luttenberge...
HYBRID
2010
Springer
13 years 11 months ago
Automatic invariant generation for hybrid systems using ideal fixed points
We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...
Sriram Sankaranarayanan
LPAR
2007
Springer
13 years 11 months ago
Deciding Knowledge in Security Protocols for Monoidal Equational Theories
Abstract. In formal approaches, messages sent over a network are usually modeled by terms together with an equational theory, axiomatizing the properties of the cryptographic funct...
Véronique Cortier, Stéphanie Delaune
ENTCS
2006
114views more  ENTCS 2006»
13 years 4 months ago
What is algebraic in process theory?
This is an extended version of an essay with the same title that I wrote for the workshop Algebraic Process Calculi: The First Twenty Five Years and Beyond, held in Bertinoro, Ita...
Bas Luttik