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» Nominal Techniques in Isabelle HOL
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CADE
2005
Springer
14 years 4 months 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
ENTCS
2008
85views more  ENTCS 2008»
13 years 4 months ago
Formalising in Nominal Isabelle Crary's Completeness Proof for Equivalence Checking
In the book on Advanced Topics in Types and Programming Languages, Crary illustrates the reasoning technique of logical relations in a case study about equivalence checking. He pr...
Julien Narboux, Christian Urban
CADE
2006
Springer
14 years 4 months ago
A Recursion Combinator for Nominal Datatypes Implemented in Isabelle/HOL
The nominal datatype package implements an infrastructure in Isabelle/HOL for defining languages involving binders and for reasoning conveniently about alpha-equivalence classes. P...
Christian Urban, Stefan Berghofer
ENTCS
2007
97views more  ENTCS 2007»
13 years 4 months ago
A Head-to-Head Comparison of de Bruijn Indices and Names
Often debates about pros and cons of various techniques for formalising lambda-calculi rely on subjective arguments, such as de Bruijn indices are hard to read for humans or nomin...
Stefan Berghofer, Christian Urban
ESOP
2011
Springer
12 years 8 months ago
General Bindings and Alpha-Equivalence in Nominal Isabelle
Abstract. Nominal Isabelle is a definitional extension of the Isabelle/HOL theorem prover. It provides a proving infrastructure for reasoning about programming language calculi in...
Christian Urban, Cezary Kaliszyk