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CSL
2010
Springer
13 years 10 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
DAM
2007
83views more  DAM 2007»
13 years 9 months ago
The proof theoretic strength of the Steinitz exchange theorem
We show that the logical theory QLA proves the Cayley–Hamilton theorem from the Steinitz exchange theorem together with a strengthening of the linear independence principle. Sin...
Michael Soltys
CORR
2011
Springer
156views Education» more  CORR 2011»
13 years 4 months ago
Impossibility of Succinct Quantum Proofs for Collision-Freeness
We show that any quantum algorithm to decide whether a function f : [n] → [n] is a permutation or far from a permutation must make Ω n1/3 /w queries to f, even if the algorith...
Scott Aaronson
ICTAC
2004
Springer
14 years 2 months ago
A Proof of Weak Termination Providing the Right Way to Terminate
We give an inductive method for proving weak innermost termination of rule-based programs, from which we automatically infer, for each successful proof, a finite strategy for data...
Olivier Fissore, Isabelle Gnaedig, Hél&egra...
TCC
2010
Springer
178views Cryptology» more  TCC 2010»
14 years 6 months ago
Threshold Decryption and Zero-Knowledge Proofs for Lattice-Based Cryptosystems
We present a variant of Regev’s cryptosystem first presented in [Reg05], but with a new choice of parameters. By a recent classical reduction by Peikert we prove the scheme sema...
Rikke Bendlin, Ivan Damgård