KIND 2 is an open-source, multi-engine, SMT-based model checker for safety properties of finiteand infinite-state synchronous reactive systems. It takes as input models written in an extension of the Lustre language that allows the specification of assume-guarantee-style contracts for system components. KIND 2 was implemented from scratch based on techniques used by its predecessor, the PKIND m...

Agler's abstract model theory is applied to C, the family of operators with unitary-dilations, where is a xed number in (0; 2]. The extremals, which are the collection of operators in C with the property that the only extensions of them which remain in the family are direct sums, are characterized in a variety of manners. They form a part of any model, and in particular, of the boundary, which ...

We find non-BPS solutions of the noncommutative CP 1 model in 2+1 dimensions. These solutions correspond to soliton anti-soliton configurations. We show that the one-soliton one-anti-soliton solution is unstable when the distance between the soliton and the anti-soliton is small. We also construct time-dependent solutions and other types of solutions. E-mail: [email protected] E-mail: na...

A quantum evolution model in 2+1 discrete space – time, connected with 3D fundamental map R, is investigated. Map R is derived as a map providing a zero curvature of a two dimensional lattice system called “the current system”. In a special case of the local Weyl algebra for dynamical variables the map appears to be canonical one and it corresponds to known operator-valued R – matrix. The curre...