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ITP
2010
142views Mathematics» more  ITP 2010»
13 years 9 months ago
Inductive Consequences in the Calculus of Constructions
Daria Walukiewicz-Chrzaszcz, Jacek Chrzaszcz
TPHOL
2005
IEEE
13 years 11 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»
13 years 5 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»
13 years 5 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