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TAPSOFT
1987
Springer
13 years 11 months ago
Induction Principles Formalized in the Calculus of Constructions
The Calculus of Constructions is a higher-order formalism for writing constructive proofs in a natural deduction style, inspired from work of de Bruijn [2, 3], Girard [12], Martin...
Gérard P. Huet
APAL
2008
79views more  APAL 2008»
13 years 7 months ago
Parameter-free polymorphic types
Consider the following restriction of the polymorphically typed lambda calculus ("System F"). All quantifications are parameter free. In other words, in every universal ...
Klaus Aehlig
CADE
2010
Springer
13 years 8 months ago
Focused Inductive Theorem Proving
Abstract. Focused proof systems provide means for reducing and structuring the non-determinism involved in searching for sequent calculus proofs. We present a focused proof system ...
David Baelde, Dale Miller, Zachary Snow
CADE
1994
Springer
13 years 11 months ago
Pi: an Interactive Derivation Editor for the Calculus of Partial Inductive Definitions
Pi is a system for the interactive construction and editing of formal derivations in the calculus of finitary partial inductive definitions. This calculus can be used as a logical ...
Lars-Henrik Eriksson
CORR
2008
Springer
179views Education» more  CORR 2008»
13 years 7 months ago
Induction and Co-induction in Sequent Calculus
Abstract. Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent...
Alwen Tiu, Alberto Momigliano