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» Mechanizing Inductive Reasoning
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LPAR
1999
Springer
15 years 4 months ago
Extensions to the Estimation Calculus
Abstract. Walther’s estimation calculus was designed to prove the termination of functional programs, and can also be used to solve the similar problem of proving the well-founde...
Jeremy Gow, Alan Bundy, Ian Green
CADE
2005
Springer
16 years 17 hour ago
Nominal Techniques in Isabelle/HOL
Abstract This paper describes a formalisation of the lambda-calculus in a HOL-based theorem prover using nominal techniques. Central to the formalisation is an inductive set that i...
Christian Urban, Christine Tasson
CIE
2008
Springer
15 years 1 months ago
Recursion on Nested Datatypes in Dependent Type Theory
Nested datatypes are families of datatypes that are indexed over all types and where the datatype constructors relate different members of the family. This may be used to represent...
Ralph Matthes
CADE
2010
Springer
15 years 25 days 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
TPHOL
2009
IEEE
15 years 6 months ago
A Brief Overview of Agda - A Functional Language with Dependent Types
Abstract. We give an overview of Agda, the latest in a series of dependently typed programming languages developed in Gothenburg. Agda is based on Martin-L¨of’s intuitionistic t...
Ana Bove, Peter Dybjer, Ulf Norell