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CALCO
2007
Springer
100views Mathematics» more  CALCO 2007»
13 years 11 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
CCA
2009
Springer
13 years 11 months ago
Realisability and Adequacy for (Co)induction
Abstract. We prove the correctness of a formalised realisability interpretation of extensions of first-order theories by inductive and coinductive definitions in an untyped λ-ca...
Ulrich Berger
JUCS
2010
95views more  JUCS 2010»
12 years 11 months ago
Realisability for Induction and Coinduction with Applications to Constructive Analysis
Abstract: We prove the correctness of a formalised realisability interpretation of extensions of first-order theories by inductive and coinductive definitions in an untyped -calcul...
Ulrich Berger
ICALP
2007
Springer
13 years 11 months ago
Co-Logic Programming: Extending Logic Programming with Coinduction
In this paper we present the theory and practice of co-logic programming (co-LP for brevity), a paradigm that combines both inductive and coinductive logic programming. Co-LP is a ...
Luke Simon, Ajay Bansal, Ajay Mallya, Gopal Gupta
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