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MPC
2010
Springer
147views Mathematics» more  MPC 2010»
15 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
PADL
2009
Springer
15 years 10 months ago
Declarative Network Verification
Abstract. In this paper, we present our initial design and implementation of a declarative network verifier (DNV). DNV utilizes theorem proving, a well established verification tec...
Anduo Wang, Prithwish Basu, Boon Thau Loo, Oleg So...
RANDOM
1999
Springer
15 years 2 months ago
Approximation of Multi-color Discrepancy
Abstract. In this article we introduce (combinatorial) multi{color discrepancy and generalize some classical results from 2{color discrepancy theory to ccolors. We give a recursive...
Benjamin Doerr, Anand Srivastav
TYPES
2000
Springer
15 years 1 months ago
Constructive Reals in Coq: Axioms and Categoricity
We describe a construction of the real numbers carried out in the Coq proof assistant. The basis is a set of axioms for the constructive real numbers as used in the FTA (Fundamenta...
Herman Geuvers, Milad Niqui
ENTCS
2008
116views more  ENTCS 2008»
14 years 10 months ago
Computational Origami Construction as Constraint Solving and Rewriting
Computational origami is the computer assisted study of mathematical and computational aspects of origami. An origami is constructed by a finite sequence of fold steps, each consi...
Tetsuo Ida, Mircea Marin, Hidekazu Takahashi, Fado...