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APLAS
2005
ACM
13 years 10 months ago
Heterogeneous Fixed Points with Application to Points-To Analysis
Many situations can be modeled as solutions of systems of simultaneous equations. If the functions of these equations monotonically increase in all bound variables, then the existe...
Aditya Kanade, Uday P. Khedker, Amitabha Sanyal
LICS
2000
IEEE
13 years 9 months ago
Complete Axioms for Categorical Fixed-Point Operators
We give an axiomatic treatment of fixed-point operators in categories. A notion of iteration operator is defined, embodying the equational properties of iteration theories. We p...
Alex K. Simpson, Gordon D. Plotkin
ACMMPC
2000
Springer
231views Mathematics» more  ACMMPC 2000»
13 years 9 months ago
Galois Connections and Fixed Point Calculus
Fixed point calculus is about the solution of recursive equations de˛ned by a monotonic endofunction on a partially ordered set. This tutorial presents the basic theory of ˛xed ...
Roland Carl Backhouse
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...