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Englische Fassung: Altera pars audiatur: Law in the Collision of Discourses. In: Richard Rawlings (Hg.) Law, Society and Economy. Oxford University Press, Oxford 1997, 150-176. Italienische Fassung: Altera pars audiatur: Il diritto nella collisione dei discorsi. In: Gunther Teubner, Diritto policontesturale: Prospettive giuridiche della pluralizzazione dei mondi sociali. La città del sole, Neapel 1999, 27-70. Französische Fassung: Altera pars audiatur: le droit dans la collision des discours. Droit et Société 35, 1997, 99-123. Portugiesische Fassung: Altera pars audiatur: o direito na colisao de disursos. In: J.A. Lindgren Alves, Gunther Teubner, Joaquim Leonel de Rezende Alvim, Dorothe Susanne Rüdiger, Direito e Cidadania na Pos-Modernidade. Editora Unimep, Piracicaba, Brasilia 2002; 93-129.
We introduce novel security proofs that use combinatorial counting arguments rather than reductions to the discrete logarithm or to the Diffie-Hellman problem. Our security results are sharp and clean with no polynomial reduction times involved. We consider a combination of the random oracle model and the generic model. This corresponds to assuming an ideal hash function H given by an oracle and an ideal group of prime order q, where the binary encoding of the group elements is useless for cryptographic attacks In this model, we first show that Schnorr signatures are secure against the one-more signature forgery : A generic adversary performing t generic steps including l sequential interactions with the signer cannot produce l+1 signatures with a better probability than (t 2)/q. We also characterize the different power of sequential and of parallel attacks. Secondly, we prove signed ElGamal encryption is secure against the adaptive chosen ciphertext attack, in which an attacker can arbitrarily use a decryption oracle except for the challenge ciphertext. Moreover, signed ElGamal encryption is secure against the one-more decryption attack: A generic adversary performing t generic steps including l interactions with the decryption oracle cannot distinguish the plaintexts of l + 1 ciphertexts from random strings with a probability exceeding (t 2)/q.
We present an overview of the mathematics underlying the quantum Zeno effect. Classical, functional analytic results are put into perspective and compared with more recent ones. This yields some new insights into mathematical preconditions entailing the Zeno paradox, in particular a simplified proof of Misra's and Sudarshan's theorem. We empahsise the complex-analytic structures associated to the issue of existence of the Zeno dynamics. On grounds of the assembled material, we reason about possible future mathematical developments pertaining to the Zeno paradox and its counterpart, the anti-Zeno paradox, both of which seem to be close to complete characterisations. PACS-Klassifikation: 03.65.Xp, 03.65Db, 05.30.-d, 02.30.T . See the corresponding presentation: Schmidt, Andreas U.: "Zeno Dynamics of von Neumann Algebras" and "Zeno Dynamics in Quantum Statistical Mechanics"
Abraham Lincoln
(1899)