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» Proving Invariants of Functional Programs
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MPC
2010
Springer
147views Mathematics» more  MPC 2010»
15 years 5 months ago
Designing an Algorithmic Proof of the Two-Squares Theorem
We show a new and constructive proof of the two-squares theorem, based on a somewhat unusual, but very effective, way of rewriting the so-called extended Euclid’s algorithm. Rat...
João F. Ferreira
108
Voted
APLAS
2005
ACM
15 years 6 months ago
Integrating Physical Systems in the Static Analysis of Embedded Control Software
Interpretation interpretation is a theory of effective abstraction and/or approximation of discrete mathematical structures as found in the semantics of programming languages, mod...
Patrick Cousot
185
Voted
CC
2009
Springer
142views System Software» more  CC 2009»
16 years 1 months ago
Extensible Proof-Producing Compilation
This paper presents a compiler which produces machine code from functions defined in the logic of a theorem prover, and at the same time proves that the generated code executes the...
Magnus O. Myreen, Konrad Slind, Michael J. C. Gord...
92
Voted
EOR
2007
113views more  EOR 2007»
15 years 15 days ago
Duality for location problems with unbounded unit balls
Abstract. Given an optimization problem with a composite of a convex and componentwise increasing function with a convex vector function as objective function, by means of the conj...
Gert Wanka, Radu Ioan Bot, Emese Vargyas
119
Voted
ACL2
2006
ACM
15 years 6 months ago
Reasoning about ACL2 file input
We introduce the logical story behind file input in ACL2 and discuss the types of theorems that can be proven about filereading operations. We develop a low level library for re...
Jared Davis