Algebraic Analysis of LEX

Koszul homology and extremal properties of Gin and Lex

where the subscript j on the right of a graded module denotes, throughout the paper, the degree j component of that module. There are two monomial ideals canonically attached to I: the generic initial ideal Gin(I) with respect to the revlex order and the lex-segment ideal Lex(I). They play a fundamental role in the investigation of many algebraic, homological, combinatorial and geometric proper...

. Renner Linear Algebraic Monoids SPIN – Monograph – January 12 , 2005

Simple algebraic data types for C

ADT is a simple tool in the spirit of Lex and Yacc that makes algebraic data types and a restricted form of pattern matching on those data types as found in SML available in C programs. ADT adds runtime checks, which make C programs written with the aid of ADT less likely to dereference a NULL pointer. The runtime tests may consume a significant amount of CPU time; hence they can be switched of...

Algebraic cryptanalysis of a small-scale version of stream cipher Lex

In this paper we analyse with respect to algebraic attacks a small-scale version of the stream cipher Lex. We base it on a small-scale version of the block cipher AES with 16-bit state and 16-bit key. We represent the small-scale Lex and its key schedule in two alternative ways: as a system of cubic boolean equations and as a system of quadratic boolean equations. We use Gröbner bases to solve ...

Application of Lex Mercatoria as Applicable Law in International Commercial Arbitration

In settling disputes regarding international commercial arbitration the parties may instead of choosing the law of one country to choose lex mercatoria or the law of merchants as a applicable law to the disputes. When this choice is possible that applicable choice of law rules recognize such power for the parties. The principle of autonomy is choosing lex mercatoria has been recognized in many ...