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ITP
2010
142views Mathematics» more  ITP 2010»
15 years 3 months ago
Inductive Consequences in the Calculus of Constructions
Daria Walukiewicz-Chrzaszcz, Jacek Chrzaszcz
TPHOL
2005
IEEE
15 years 5 months ago
Alpha-Structural Recursion and Induction
The nominal approach to abstract syntax deals with the issues of bound names and α-equivalence by considering constructions and properties that are invariant with respect to permu...
Andrew M. Pitts
CORR
2008
Springer
122views Education» more  CORR 2008»
14 years 11 months ago
From formal proofs to mathematical proofs: a safe, incremental way for building in first-order decision procedures
Abstract We investigate here a new version of the Calculus of Inductive Constructions (CIC) on which the proof assistant Coq is based: the Calculus of Congruent Inductive Construct...
Frédéric Blanqui, Jean-Pierre Jouann...
MLQ
2006
84views more  MLQ 2006»
14 years 11 months ago
A note on Bar Induction in Constructive Set Theory
Bar Induction occupies a central place in Brouwerian mathematics. This note is concerned with the strength of Bar Induction on the basis of Constructive ZermeloFraenkel Set Theory...
Michael Rathjen