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» The Algebra of Equality Proofs
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HYBRID
2010
Springer
14 years 2 months ago
Automatic invariant generation for hybrid systems using ideal fixed points
We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...
Sriram Sankaranarayanan
SIAMCOMP
2010
174views more  SIAMCOMP 2010»
13 years 6 months ago
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity o...
Kousha Etessami, Mihalis Yannakakis
ECCC
2008
168views more  ECCC 2008»
13 years 8 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson
CTRSA
2009
Springer
95views Cryptology» more  CTRSA 2009»
14 years 2 months ago
Statistically Hiding Sets
Zero-knowledge set is a primitive introduced by Micali, Rabin, and Kilian (FOCS 2003) which enables a prover to commit a set to a verifier, without revealing even the size of the...
Manoj Prabhakaran, Rui Xue
PLPV
2011
ACM
12 years 11 months ago
Local actions for a curry-style operational semantics
Soundness proofs of program logics such as Hoare logics and type systems are often made easier by decorating the operational semantics with information that is useful in the proof...
Gordon Stewart, Andrew W. Appel