منابع مشابه
Three-variable statements of set-pairing
The approach to algebraic specifications of set theories proposed by Tarski and Givant inspires current research aimed at taking advantage of the purely equational nature of the resulting formulations for enhanced automation of reasoning on aggregates of various kinds: sets, bags, hypersets, etc. The viability of the said approach rests upon the possibility to form ordered pairs and to decompos...
متن کاملRewriting Optimization Statements in Answer-Set Programs
Constraints on Pseudo-Boolean (PB) expressions can be translated into Conjunctive Normal Form (CNF) using several known translations. In Answer-Set Programming (ASP), analogous expressions appear in weight rules and optimization statements. Previously, we have translated weight rules into normal rules, using normalizations designed in accord with existing CNF encodings. In this work, we rededic...
متن کاملPairing in Characteristic Three
Since their introduction in constructive cryptographic applications, pairings over (hyper)elliptic curves are at the heart of an ever increasing number of protocols. Software implementations being rather slow, the study of hardware architectures became an active research area. In this paper, we discuss several algorithms to compute the ηT pairing in characteristic three and suggest further impr...
متن کاملInstruction Set Extensions for Pairing-Based Cryptography
A series of recent algorithmic advances has delivered highly effective methods for pairing evaluation and parameter generation. However, the resulting multitude of options means many different variations of base field must ideally be supported on the target platform. Typical hardware accelerators in the form of co-processors possess neither the flexibility nor the scalability to support fields ...
متن کاملVariable Set Theory
Author’s note. This paper was originally written in 1986 during a brief time when scientific American had published a number of math articles. By the time it was finished and submitted, this window had apparently closed. At any rate this paper was turned down and, as far as we know, no further mathematics appeared. We have recently decided that the paper might have sufficient interest to at lea...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2004
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2004.03.028