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» On a generalization of Stickelberger's Theorem
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RTA
2005
Springer
15 years 5 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
FOCS
2000
IEEE
15 years 4 months ago
Stable Distributions, Pseudorandom Generators, Embeddings and Data Stream Computation
In this article, we show several results obtained by combining the use of stable distributions with pseudorandom generators for bounded space. In particular: —We show that, for a...
Piotr Indyk
STOC
1999
ACM
101views Algorithms» more  STOC 1999»
15 years 4 months ago
Short Proofs are Narrow - Resolution Made Simple
The width of a Resolution proof is defined to be the maximal number of literals in any clause of the proof. In this paper, we relate proof width to proof length (ϭsize), in both g...
Eli Ben-Sasson, Avi Wigderson
ICALP
1993
Springer
15 years 4 months ago
Exact Asymptotics of Divide-and-Conquer Recurrences
The divide-and-conquer principle is a majoi paradigm of algorithms design. Corresponding cost functions satisfy recurrences that directly reflect the decomposition mechanism used i...
Philippe Flajolet, Mordecai J. Golin
LPNMR
1990
Springer
15 years 3 months ago
The meaning of Negative Premises in Transition System Specifications
We present a general theory for the use of negative premises in the rules of Transition System Specifications (TSSs). We formulate a criterion that should be satisfied by a TSS in ...
Roland N. Bol, Jan Friso Groote