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» Inductive Type Schemas as Functors
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CALCO
2011
Springer
214views Mathematics» more  CALCO 2011»
12 years 7 months ago
Indexed Induction and Coinduction, Fibrationally
This paper extends the fibrational approach to induction and coinduction pioneered by Hermida and Jacobs, and developed by the current authors, in two key directions. First, we pr...
Clément Fumex, Neil Ghani, Patricia Johann
ENTCS
2006
162views more  ENTCS 2006»
13 years 7 months ago
Continuous Functions on Final Coalgebras
It can be traced back to Brouwer that continuous functions of type StrA B, where StrA is the type of infinite streams over elements of A, can be represented by well founded, Abra...
Neil Ghani, Peter Hancock, Dirk Pattinson
CSL
2010
Springer
13 years 8 months ago
Fibrational Induction Rules for Initial Algebras
This paper provides an induction rule that can be used to prove properties of data structures whose types are inductive, i.e., are carriers of initial algebras of functors. Our res...
Neil Ghani, Patricia Johann, Clément Fumex
WWW
2008
ACM
14 years 8 months ago
Extracting XML schema from multiple implicit xml documents based on inductive reasoning
We propose a method of classifying XML documents and extracting XML schema from XML by inductive inference based on constraint logic programming. The goal of this work is to type ...
Masaya Eki, Tadachika Ozono, Toramatsu Shintani
CEFP
2009
Springer
13 years 5 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