This paper studies knowledge representation in multi-agent environment. We
investigate technique for computation truth-values of statements based at a new
temporal, agent's-knowledge logic TL. A logical language, mathematical symbolic
models and a temporal logic TL based at these models are suggested. We find an
algorithm which computes theorems of TL and satisfiability of statements, this
implies that TL is decidable (i.e. -- the satisfiability problem for TL is
solvable). Application areas are pointed and discussed