We report on the detailed verification of a substantial portion of the Kerberos 5 protocol specification. Because it targeted a deployed protocol rather than an academic abstraction, this multi-year effort led to the development of new analysis methods in order to manage the inherent complexity. This enabled proving that Kerberos supports the expected authentication and confidentiality properti...

This paper describes the experiences of Collins Commercial Avionics and SRI International in formally specifying and verifying the microcode for the AAMP5 microprocessor with the PVS verification system. This project was conducted to determine if an industrial microprocessor designed for use in real–time embedded systems could be formally specified at the instruction set and register transfer l...

let $k$ be a field of characteristic$p>0$, $k[[x]]$, the ring of formal power series over $ k$,$k((x))$, the quotient field of $ k[[x]]$, and $ k(x)$ the fieldof rational functions over $k$. we shall give somecharacterizations of an algebraic function $fin k((x))$ over $k$.let $l$ be a field of characteristic zero. the power series $finl[[x]]$ is called differentially algebraic, if it satisfies...

let ( r,m ) be a noetherian local ring, a an ideal of r and m a finitely generated r- module. we investigate some properties of formal local cohomology modules with respect to a serre subcategory. we provide a common language to indicate some properties of formal local cohomology modules. let ( r,m ) be a noetherian local ring, a an ideal of r and m a finitely generated r- module. we investigat...