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APAL
2011
13 years 2 months ago
The Suslin operator in applicative theories: Its proof-theoretic analysis via ordinal theories
The Suslin operator E1 is a type-2 functional testing for the wellfoundedness of binary relations on the natural numbers. In the context of applicative theories, its proof-theoret...
Gerhard Jäger, Dieter Probst
FMOODS
2007
13 years 8 months ago
A Mechanized Model of the Theory of Objects
In this paper we present a formalization of Abadi’s and Cardelli’s theory of objects in the interactive theorem prover Isabelle/HOL. Our motivation is to build a mechanized HOL...
Ludovic Henrio, Florian Kammüller
CIE
2007
Springer
14 years 1 months ago
RZ: A Tool for Bringing Constructive and Computable Mathematics Closer to Programming Practice
Realizability theory is not just a fundamental tool in logic and computability. It also has direct application to the design and implementation of programs, since it can produce co...
Andrej Bauer, Christopher A. Stone
ENTCS
2006
113views more  ENTCS 2006»
13 years 7 months ago
A Large-Scale Experiment in Executing Extracted Programs
It is a well-known fact that algorithms are often hidden inside mathematical proofs. If these proofs are formalized inside a proof assistant, then a mechanism called extraction ca...
Luís Cruz-Filipe, Pierre Letouzey
APLAS
2005
ACM
14 years 26 days ago
Symbolic Execution with Separation Logic
We describe a sound method for automatically proving Hoare triples for loop-free code in Separation Logic, for certain preconditions and postconditions (symbolic heaps). The method...
Josh Berdine, Cristiano Calcagno, Peter W. O'Hearn