A description of the environment cognition process by intelligent
systems with the fixed set of system goals is suggested. Such a system is represented
by the set of its goals only without any models of the system elements
or the environment. The set has a lattice structure and a monoid structure;
thus, the structure of linear logic is defined on the set. The cognition process of
some environment by the system is described on this basis. The environment
is represented as a configuration space of possible system positions which are
estimated by an information amount (by corresponding sets). This information
is supplied to the system by the environment. Thus, it is possible to define
the category of Conway games with a payoff on the configuration space and to
choose an optimal system’s play (i.e., a trajectory). The choice is determined
by the requirement of maximal information increasing and takes into account
the structure of the system goal set: the linear logic on the set is used to determine
the priority of possible different parallel processes. The survey may be
useful to describe the behavior of robots and simple biological systems, e.g.,
ants.