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» Alpha-Structural Recursion and Induction
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POPL
2010
ACM
14 years 7 months ago
Nominal System T
This paper introduces a new recursion principle for inductive data modulo -equivalence of bound names. It makes use of Oderskystyle local names when recursing over bound names. It...
Andrew M. Pitts
CIE
2007
Springer
14 years 4 months ago
Input-Dependence in Function-Learning
In the standard model of inductive inference, a learner gets as input the graph of a function, and has to discover (in the limit) a program for the function. In this paper, we cons...
Sanjay Jain, Eric Martin, Frank Stephan
ACL2
2006
ACM
14 years 3 months ago
Soundness of the simply typed lambda calculus in ACL2
To make it practical to mechanize proofs in programming language metatheory, several capabilities are required of the theorem proving framework. One must be able to represent and ...
Sol Swords, William R. Cook
TYPES
2004
Springer
14 years 3 months ago
A Few Constructions on Constructors
We present four constructions for standard equipment which can be generated for every inductive datatype: case analysis, structural recursion, no confusion, acyclicity. Our constru...
Conor McBride, Healfdene Goguen, James McKinna
ASIAN
2003
Springer
109views Algorithms» more  ASIAN 2003»
14 years 3 months ago
Deaccumulation - Improving Provability
Several induction theorem provers were developed to verify functional programs mechanically. Unfortunately, automated verification usually fails for functions with accumulating ar...
Jürgen Giesl, Armin Kühnemann, Janis Voi...