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ENTCS
2006
125views more  ENTCS 2006»
13 years 5 months ago
An Even Closer Integration of Linear Arithmetic into Inductive Theorem Proving
To broaden the scope of decision procedures for linear arithmetic, they have to be integrated into theorem provers. Successful approaches e.g. in NQTHM or ACL2 suggest a close int...
Tobias Schmidt-Samoa
JCST
2010
189views more  JCST 2010»
12 years 11 months ago
Formally Analyzing Expected Time Complexity of Algorithms Using Theorem Proving
Probabilistic techniques are widely used in the analysis of algorithms to estimate the computational complexity of algorithms or a computational problem. Traditionally, such analys...
Osman Hasan, Sofiène Tahar
DLT
2009
13 years 2 months ago
On the Complexity of Hmelevskii's Theorem and Satisfiability of Three Unknown Equations
Abstract. We analyze Hmelevskii's theorem, which states that the general solutions of constant-free equations on three unknowns are expressible by a finite collection of formu...
Aleksi Saarela
SIAMCOMP
2011
12 years 7 months ago
A Quantitative Version of the Gibbard-Satterthwaite Theorem for Three Alternatives
The Gibbard-Satterthwaite theorem states that every non-dictatorial election rule among at least three alternatives can be strategically manipulated. We prove a quantitative versi...
Ehud Friedgut, Gil Kalai, Nathan Keller, Noam Nisa...
ENTCS
2006
143views more  ENTCS 2006»
13 years 5 months ago
Hiproofs: A Hierarchical Notion of Proof Tree
Motivated by the concerns of theorem-proving, we generalise the notion of proof tree to that of hierarchical proof tree. Hierarchical trees extend ordinary trees by adding partial...
Ewen Denney, John Power, Konstantinos Tourlas