On the definition of stochastic $\lambda$-transducers
Stavros Konstantinidis and Nicolae Santean
We propose a formal definition for the general notion of stochastic transducer,
called stochastic $\lambda$-transducer. Our definition is
designed with two objectives in mind: (i) to extend naturally the
established notion of stochastic automaton with output -- as defined in the
classic books of Paz (1971) and Starke (1972) -- by permitting pairs of
input-output words of different lengths; (ii) to be compatible with the more
general notion of weighted transducer so that one can apply tools of weighted
transducers to address certain computational problems involving stochastic
transducers. The new transducers can be used to model stochastic
input-output processes that cannot be modeled using classic stochastic automata
with output.