Software for Z-arithmetic

Arithmetic for Z

Arithmetic for Z

Software for high radix on-line arithmetic

High radix on-line arithmetic provides an effident m e t h ~ fin" pertbrming wlriahte-precision arithmetic. It can be implemented ~n conventional microprocessors using sequences of three operand instructions. This paper presents ~}ftware support fi~r high radix on-line arithmetic. This software includes emulation modules fi~r high radix operations, and a precision analysis pr~gram fiw setting t...

Arithmetic Reasoning for Static Analysis of Software

Software and hardware veri cation has shown the ability to prove the correctness of many sophisticated algorithms and to discover many subtle errors. But the veri cation tools are not in every-day use by nonspecialists. This paper describes several of the verication methods in a tool, which is in every-day use by programmers. The paper concentrates on theorem proving and related aspects.

Quaternion Algebras, Arithmetic Kleinian Groups and Z-lattices

Let K be a quadratic extension of Q, B a quaternion algebra over Q and A = B ⊗Q K. Let O be a maximal order in A extending an order in B. The projective norm one group PO1 is shown to be isomorphic to the spinorial kernel group O′(L), for an explicitly determined quadratic Z-lattice L of rank four, in several general situations. In other cases, only the local structures of O and L are given at ...