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» Designing an Algorithmic Proof of the Two-Squares Theorem
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MPC
2010
Springer
147views Mathematics» more  MPC 2010»
14 years 2 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
BIRTHDAY
2007
Springer
14 years 1 months ago
Applying a Theorem Prover to the Verification of Optimistic Replication Algorithms
Abstract. The Operational Transformation (OT) approach is a technique for supporting optimistic replication in collaborative and mobile systems. It allows the users to concurrently...
Abdessamad Imine, Michaël Rusinowitch
WDAG
2009
Springer
77views Algorithms» more  WDAG 2009»
14 years 4 months ago
Nonblocking Algorithms and Backward Simulation
Abstract. Optimistic and nonblocking concurrent algorithms are increasingly finding their way into practical use; an important example is software transactional memory implementat...
Simon Doherty, Mark Moir
IUI
2010
ACM
14 years 4 months ago
Intelligent understanding of handwritten geometry theorem proving
Computer-based geometry systems have been widely used for teaching and learning, but largely based on mouse-andkeyboard interaction, these systems usually require users to draw fi...
Yingying Jiang, Feng Tian, Hongan Wang, Xiaolong Z...
ICFP
2005
ACM
14 years 9 months ago
Combining programming with theorem proving
Applied Type System (ATS) is recently proposed as a framework for designing and formalizing (advanced) type systems in support of practical programming. In ATS, the definition of ...
Chiyan Chen, Hongwei Xi