We describe a meta-logic for characterizing the evolving internal reasoning
of various families of agents. We view the reasoning of agents as ongoing
processes rather than as fixed sets of conclusions. Our approach utilizes a
strongly sorted calculus, distinguishing the application language, time, a
nd various syntactic sorts. We have established soundness and completeness
results corresponding to various families of agents. This allows for useful
and intuitively natural characterizations of such agents' reasoning abilit
ies. We discuss and contrast consistency issues as in the work of Montague
and Thomason. We also show how to represent the concept of focus of attenti
on in this framework.