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» Inductive Consequences in the Calculus of Constructions
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CORR
2000
Springer
91views Education» more  CORR 2000»
13 years 7 months ago
Algorithmic Theories of Everything
The probability distribution P from which the history of our universe is sampled represents a theory of everything or TOE. We assume P is formally describable. Since most (uncount...
Jürgen Schmidhuber
TAPSOFT
1993
Springer
13 years 12 months ago
Optimal Reductions in Interaction Systems
Lamping's optimalgraph reduction technique for the -calculus is generalized to a new class of higher order rewriting systems, called Interaction Systems. Interaction Systems ...
Andrea Asperti, Cosimo Laneve
ICFP
2005
ACM
14 years 7 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
POPL
2010
ACM
14 years 5 months ago
Nominal System T
This paper introduces a new recursion principle for inductive data modulo -equivalence of bound names. It makes use of Oderskystyle local names when recursing over bound names. It...
Andrew M. Pitts
POPL
2008
ACM
14 years 8 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...