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APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
14 years 11 days ago
Hierarchy Theorems for Property Testing
Referring to the query complexity of property testing, we prove the existence of a rich hierarchy of corresponding complexity classes. That is, for any relevant function q, we prov...
Oded Goldreich, Michael Krivelevich, Ilan Newman, ...
CORR
2010
Springer
107views Education» more  CORR 2010»
13 years 5 months ago
A tight quantitative version of Arrow's impossibility theorem
The well-known Impossibility Theorem of Arrow asserts that any Generalized Social Welfare Function (GSWF) with at least three alternatives, which satisfies Independence of Irrelev...
Nathan Keller
CSL
2004
Springer
13 years 9 months ago
Towards Mechanized Program Verification with Separation Logic
Using separation logic, this paper presents three Hoare logics (corresponding to different notions of correctness) for the simple While language extended with commands for heap acc...
Tjark Weber
ECAI
2004
Springer
13 years 9 months ago
Lakatos-Style Automated Theorem Modification
We describe a flexible approach to automated reasoning, where non-theorems can be automatically altered to produce proved results which are related to the original. This is achieve...
Simon Colton, Alison Pease
LICS
2002
IEEE
13 years 10 months ago
The Proof Complexity of Linear Algebra
We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We...
Michael Soltys, Stephen A. Cook