Computing equivalences on model abstractions representing multiscale processes

Querying by temporal logic as a reasoning mechanism on a system representing multiscale processes is important in understanding the details of a large and complex system, in particular in the models of biochemical pathways. A novel formalism representing a system of multiscale biochemical pathways is described. The definitions of multiscale model in discrete domains are represented in the form of a labeled transition system. A polynomial time algorithm is constructed for identification of systems representing multiscale pathway. A probabilistic variant of the multiscale formalism is stated.