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» Widening Integer Arithmetic
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STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 4 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
INDOCRYPT
2004
Springer
14 years 23 days ago
Advances in Alternative Non-adjacent Form Representations
Abstract. From several decades, non-adjacent form (NAF) representations for integers have been extensively studied as an alternative to the usual binary number system where digits ...
Gildas Avoine, Jean Monnerat, Thomas Peyrin
EJC
2008
13 years 7 months ago
Equivelar maps on the torus
Abstract. We give a classification of all equivelar polyhedral maps on the torus. In particular, we classify all triangulations and quadrangulations of the torus admitting a vertex...
Ulrich Brehm, Wolfgang Kühnel
CSL
2010
Springer
13 years 8 months ago
Ordered Sets in the Calculus of Data Structures
Our goal is to identify families of relations that are useful for reasoning about software. We describe such families using decidable quantifier-free classes of logical constraints...
Viktor Kuncak, Ruzica Piskac, Philippe Suter
PLDI
2010
ACM
14 years 4 months ago
Complete Functional Synthesis
Synthesis of program fragments from specifications can make programs easier to write and easier to reason about. To integrate synthesis into programming languages, synthesis algor...
Viktor Kuncak, Mika l Mayer, Ruzica Piskac, Philip...