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CADE
2008
Springer
14 years 4 months ago
Proving Bounds on Real-Valued Functions with Computations
Interval-based methods are commonly used for computing numerical bounds on expressions and proving inequalities on real numbers. Yet they are hardly used in proof assistants, as th...
Guillaume Melquiond
COMPSAC
2009
IEEE
13 years 5 months ago
Modular Certification of Low-Level Intermediate Representation Programs
Modular certification of low-level intermediate representation (IR) programs is one of the key steps of proof-transforming compilation. The major challenges are lexity of abstract ...
Yuan Dong, Shengyuan Wang, Liwei Zhang, Ping Yang
ICFP
2002
ACM
14 years 4 months ago
An expressive, scalable type theory for certified code
We present the type theory LTT, intended to form a basis for typed target languages, providing an internal notion of logical proposition and proof. The inclusion of explicit proof...
Karl Crary, Joseph Vanderwaart
FLOPS
2010
Springer
13 years 11 months ago
Beluga: Programming with Dependent Types, Contextual Data, and Contexts
The logical framework LF provides an elegant foundation for specifying formal systems and proofs and it is used successfully in a wide range of applications such as certifying code...
Brigitte Pientka
TPHOL
2007
IEEE
13 years 11 months ago
Using XCAP to Certify Realistic Systems Code: Machine Context Management
Formal, modular, and mechanized verification of realistic systems code is desirable but challenging. Verification of machine context management (a basis of multi-tasking) is one ...
Zhaozhong Ni, Dachuan Yu, Zhong Shao