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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»
13 years 9 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
13 years 8 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»
13 years 11 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
13 years 11 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 4 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