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120
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CSR
2008
Springer
15 years 5 months ago
A Semantic Proof of Polytime Soundness of Light Affine Logic
We define a denotational semantics for Light Affine Logic (LAL) which has the property that denotations of functions are polynomial time computable by construction of the model. Th...
Ugo Dal Lago, Martin Hofmann
109
Voted
FOCS
1992
IEEE
15 years 7 months ago
Probabilistic Checking of Proofs; A New Characterization of NP
We give a new characterization of NP: the class NP contains exactly those languages L for which membership proofs (a proof that an input x is in L) can be verified probabilisticall...
Sanjeev Arora, Shmuel Safra
132
Voted
CORR
2008
Springer
132views Education» more  CORR 2008»
15 years 3 months ago
Trading GRH for algebra: algorithms for factoring polynomials and related structures
Abstract. In this paper we develop a general technique to eliminate the assumption of the Generalized Riemann Hypothesis (GRH) from various deterministic polynomial factoring algor...
Gábor Ivanyos, Marek Karpinski, Lajos R&oac...
124
Voted
COLING
2000
15 years 4 months ago
Generation, Lambek Calculus, Montague's Semantics and Semantic Proof Nets
Most of the studies in the framework of Lambek calculus have considered the parsing process and ignored the generation process. This paper wants to rely on the close link between ...
Sylvain Pogodalla
151
Voted
STOC
1989
ACM
99views Algorithms» more  STOC 1989»
15 years 7 months ago
A Random Polynomial Time Algorithm for Approximating the Volume of Convex Bodies
We present a randomised polynomial time algorithm for approximating the volume of a convex body K in n-dimensional Euclidean space. The proof of correctness of the algorithm relie...
Martin E. Dyer, Alan M. Frieze, Ravi Kannan