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» Herbrand's theorem and term induction
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CSL
2007
Springer
14 years 12 days ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
POPL
2008
ACM
14 years 6 months ago
Engineering formal metatheory
Machine-checked proofs of properties of programming languages have become a critical need, both for increased confidence in large and complex designs and as a foundation for techn...
Arthur Charguéraud, Benjamin C. Pierce, Bri...
CIE
2008
Springer
13 years 8 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
ICFP
2005
ACM
14 years 6 months ago
Translating specifications from nominal logic to CIC with the theory of contexts
We study the relation between Nominal Logic and the Theory of Contexts, two approaches for specifying and reasoning about datatypes with binders. We consider a natural-deduction s...
Marino Miculan, Ivan Scagnetto, Furio Honsell
ICFP
2005
ACM
14 years 6 months ago
A computational approach to reflective meta-reasoning about languages with bindings
We present a foundation for a computational meta-theory of languages with bindings implemented in a computer-aided formal reasoning environment. Our theory provides the ability to...
Aleksey Nogin, Alexei Kopylov, Xin Yu, Jason Hicke...