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IANDC
2006
63views more  IANDC 2006»
13 years 4 months ago
Distributive laws for the coinductive solution of recursive equations
This paper illustrates the relevance of distributive laws for the solution of recursive equations, and shows that one approach for obtaining coinductive solutions of equations via...
Bart Jacobs
CEFP
2009
Springer
13 years 2 months ago
Reasoning about Codata
Programmers happily use induction to prove properties of recursive programs. To show properties of corecursive programs they employ coinduction, but perhaps less enthusiastically. ...
Ralf Hinze
CALCO
2009
Springer
159views Mathematics» more  CALCO 2009»
13 years 11 months ago
Complete Iterativity for Algebras with Effects
Abstract. Completely iterative algebras (cias) are those algebras in which recursive equations have unique solutions. In this paper we study complete iterativity for algebras with ...
Stefan Milius, Thorsten Palm, Daniel Schwencke
CORR
2010
Springer
77views Education» more  CORR 2010»
13 years 2 months ago
Implicit Renewal Theory and Power Tails on Trees
: We extend Goldie's (1991) Implicit Renewal Theorem to enable the analysis of recursions on weighted branching trees. We illustrate the developed method by deriving the power...
Predrag R. Jelenkovic, Mariana Olvera-Cravioto
CPC
2002
80views more  CPC 2002»
13 years 4 months ago
The Wiener Index Of Random Trees
The Wiener index is analyzed for random recursive trees and random binary search trees in the uniform probabilistic models. We obtain the expectations, asymptotics for the varianc...
Ralph Neininger