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» A Simpler Proof Theory for Nominal Logic
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FOSSACS
2005
Springer
13 years 10 months ago
A Simpler Proof Theory for Nominal Logic
Abstract. Nominal logic is a variant of first-order logic equipped with a “freshname quantifier” N and other features useful for reasoning about languages with bound names. I...
James Cheney
AISC
2008
Springer
13 years 7 months ago
Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in Nominal Isabelle
Craig's Interpolation Theorem is an important meta-theoretical result for several logics. Here we describe a formalisation of the result for first-order intuitionistic logic w...
Peter Chapman, James McKinna, Christian Urban
ICFP
2005
ACM
14 years 4 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
PPDP
2010
Springer
13 years 3 months ago
Permissive-nominal logic
Permissive-Nominal Logic (PNL) is an extension of firstorder logic where term-formers can bind names in their arguments. This allows for direct axiomatisations with binders, such...
Gilles Dowek, Murdoch James Gabbay
KI
1990
Springer
13 years 9 months ago
The Representation of Program Synthesis in Higher Order Logic
ue to a lack of abstraction in the formalization of deductive mechanisms involved in programming reasoning tools for the development of program synthesizers are not yet available. ...
Christoph Kreitz