Abstract. For any odd squarefree integer r, we get complete description of the Gr = Gal(Q(μr)/Q) group cohomology of the universal ordinary distribution Ur in this paper. Moreover, if M is a fixed integer which divides l−1 for all prime factors l of r, we study the cohomology group H(Gr, Ur/MUr). In particular, we explain the mysterious construction of the elements κr′ for r |r in Rubin[10], wh...

A methodology is presented for using a general-purpose state enumeration tool, Mur', to analyze cryptographic and security-related protocols. We illustrate the feasibility of the approach by analyzing the Needham-Schroeder protocol, nding a known bug in a few seconds of computation time, and analyzing variants of Kerberos and the faulty TMN protocol used in another comparative study. The eecien...

This is a continuing attempt in a series of papers KM 93, Mur 93, Mur 94] to show how computer-represented knowledge can be arranged as elements of an eeectively represented semantic domain in the sense of GS 90]. We present a direct deductive description of the domain, which was deened semantically in KM 93], via the Scott's notion of information system. Also, the internal structure of the con...

We study certain formal group laws equipped with an action of the cyclic order a power 2. construct C2n-equivariant Real oriented models Lubin–Tate spectra Eh at heights h=2n?1m and give explicit formulas C2n-action on their coefficient rings. Our construction utilizes equivariant associated norms bordism theory MUR, our work examines height Hill–Hopkins–Ravenel MUR.