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CALCO
2005
Springer
85views Mathematics» more  CALCO 2005»
14 years 16 days ago
Using Proofs by Coinduction to Find "Traditional" Proofs
In the specific situation of formal reasoning concerned with “regular expression equivalence” we address instances of more general questions such as: how can coinductive argum...
Clemens Grabmayer
CALCO
2007
Springer
100views Mathematics» more  CALCO 2007»
14 years 1 months ago
Applications of Metric Coinduction
Metric coinduction is a form of coinduction that can be used to establish properties of objects constructed as a limit of finite approximations. One can prove a coinduction step s...
Dexter Kozen, Nicholas Ruozzi
MPC
2010
Springer
159views Mathematics» more  MPC 2010»
13 years 11 months ago
Subtyping, Declaratively
Abstract. It is natural to present subtyping for recursive types coinductively. However, Gapeyev, Levin and Pierce have noted that there is a problem with coinductive definitions ...
Nils Anders Danielsson, Thorsten Altenkirch
ESOP
2006
Springer
13 years 10 months ago
Coinductive Big-Step Operational Semantics
Using a call-by-value functional language as an example, this article illustrates the use of coinductive definitions and proofs in big-step operational semantics, enabling it to d...
Xavier Leroy
LICS
2006
IEEE
14 years 1 months ago
Coinductive Proof Principles for Stochastic Processes
We give an explicit coinduction principle for recursively-defined stochastic processes. The principle applies to any closed property, not just equality, and works even when soluti...
Dexter Kozen