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TPHOL
2007
IEEE
14 years 1 months ago
Proof Pearl: De Bruijn Terms Really Do Work
Placing our result in a web of related mechanised results, we give a direct proof that the de Bruijn λ-calculus (`a la Huet, Nipkow and Shankar) is isomorphic to an α-quotiented ...
Michael Norrish, René Vestergaard
CSL
2010
Springer
13 years 8 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
KBSE
2003
IEEE
14 years 24 days ago
Automation for Exception Freedom Proofs
Run-time errors are typically seen as unacceptable within safety and security critical software. The SPARK approach to the development of high integrity software addresses the pro...
Bill J. Ellis, Andrew Ireland
FLOPS
2006
Springer
13 years 11 months ago
Defining and Reasoning About Recursive Functions: A Practical Tool for the Coq Proof Assistant
Abstract. We present a practical tool for defining and proving properties of recursive functions in the Coq proof assistant. The tool generates from pseudo-code the graph of the in...
Gilles Barthe, Julien Forest, David Pichardie, Vla...
CIE
2010
Springer
13 years 5 months ago
Proofs, Programs, Processes
Abstract. We study a realisability interpretation for inductive and coinductive definitions and discuss its application to program extraction from proofs. A speciality of this inte...
Ulrich Berger, Monika Seisenberger