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JUCS
2010
95views more  JUCS 2010»
13 years 7 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
MST
2008
150views more  MST 2008»
14 years 15 days ago
Coinduction for Exact Real Number Computation
This paper studies coinductive representations of real numbers by signed digit streams and fast Cauchy sequences. It is shown how the associated coinductive principle can be used ...
Ulrich Berger, Tie Hou
CCA
2009
Springer
14 years 7 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