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» Constructive analysis, types and exact real numbers
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52
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MSCS
2007
85views more  MSCS 2007»
14 years 10 months ago
Constructive analysis, types and exact real numbers
Herman Geuvers, Milad Niqui, Bas Spitters, Freek W...
88
Voted
MST
2007
168views more  MST 2007»
14 years 10 months ago
Productivity of Edalat-Potts Exact Arithmetic in Constructive Type Theory
In this work we focus on a formalisation of the algorithms of lazy exact arithmetic `a la Edalat–Potts in type theory. We choose the constructive type theory extended with coind...
Milad Niqui
CIE
2005
Springer
15 years 4 months ago
Formalising Exact Arithmetic in Type Theory
In this work we focus on a formalisation of the algorithms of lazy exact arithmetic `a la Potts and Edalat [1]. We choose the constructive type theory as our formal verification t...
Milad Niqui
JUCS
2010
95views more  JUCS 2010»
14 years 5 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
76
Voted
ENTCS
2006
137views more  ENTCS 2006»
14 years 11 months ago
Coinductive Field of Exact Real Numbers and General Corecursion
In this article we present a method to define algebraic structure (field operations) on a representation of real numbers by coinductive streams. The field operations will be given...
Milad Niqui