We show that $${\textbf{Span}}({\textbf{Graph}})_*$$ , an algebra for open transition systems introduced by Katis, Sabadini and Walters, satisfies a universal property. By itself, this is justification of the canonicity model concurrency. However, property itself interest, being formal demonstration relationship between feedback state. Indeed, categories, also originally proposed are weakening ...

Let $q$ be a nonzero complex number that is not root of unity. In the $q$-oscillator with commutation relation $ a^+-qa^+ =1$, it known smallest commutator algebra operators containing creation and annihilation $a^+$ linear span $, together all form ${a^+}^l{\left[a,a^+\right]}^k$, ${\left[a,a^+\right]}^k ^l$, where $l$ nonnegative integer $k$ positive integer. That is, combinations ^h$ or $(a^...

The asymptotic symmetries of electromagnetism in all higher spacetime dimensions $d>4$ are extended, by incorporating consistently angle-dependent $u(1)$ gauge transformations with a linear growth the radial coordinate at spatial infinity. Finiteness symplectic structure and preservation conditions require to impose set strict parity conditions, under antipodal map $(d-2)$-sphere, on leading or...

Following an earlier work we derive a gauge-independent canonical structure for a fully relativistic multicomponent plasma theory. The Klimontovich form of the distribution function is used to derive the basic Poisson bracket relations for the canonical variables/~, B, and E. The Poisson bracket relations provide an explicit canonical realization of the Lie algebra of the Poincar6 group and the...

We consider functional Schrödinger equations associated with a wide class of Hamiltonians in all Fock representations of the bosonic canonical commutation relations, in particular the Cook-Fock, Friedrichs-Fock, and Bargmann-Fock models. An infinite-dimensional symbolic calculus allows to prove the convergence of the corresponding Hamiltonian Feynman integrals for propagators of coherent states...

In this paper, we investigate the many-valued version of coalgebraic modal logic through predicate lifting approach. Coalgebras, understood as generic transition systems, can serve semantic structures for various kinds logics. A well-known result in is that its completeness be determined at one-step level. We generalize to finitely case by using canonical model construction. prove logics based ...