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CSL
2005
Springer
14 years 1 months ago
A Propositional Proof System for Log Space
The proof system G∗ 0 of the quantified propositional calculus corresponds to NC1 , and G∗ 1 corresponds to P, but no formula-based proof system that corresponds log space rea...
Steven Perron
CSL
2008
Springer
13 years 9 months ago
Proving Infinitude of Prime Numbers Using Binomial Coefficients
We study the problem of proving in weak theories of Bounded Arithmetic the theorem that there are arbitrarily large prime numbers. We show that the theorem can be proved by some &...
Phuong Nguyen
ESOP
2005
Springer
14 years 1 months ago
Asserting Bytecode Safety
Abstract. We instantiate an Isabelle/HOL framework for proof carrying code to Jinja bytecode, a downsized variant of Java bytecode featuring objects, inheritance, method calls and ...
Martin Wildmoser, Tobias Nipkow
CORR
2011
Springer
161views Education» more  CORR 2011»
12 years 11 months ago
Quadratic Goldreich-Levin Theorems
Decomposition theorems in classical Fourier analysis enable us to express a bounded function in terms of few linear phases with large Fourier coefficients plus a part that is pseu...
Madhur Tulsiani, Julia Wolf
BIRTHDAY
1997
Springer
13 years 12 months ago
Expressive Power of Unary Counters
We compare the expressive power on finite models of two extensions of first order logic L with equality. L(Ct) is formed by adding an operator count{x : ϕ}, which builds a term ...
Michael Benedikt, H. Jerome Keisler