Algorithms for weighted multi-tape automata

This report defines various operations and describes algorithms for weighted multi-tape automata (WMTAs). It presents, among others, a new approach to multi-tape intersection, meaning the intersection of a number of tapes of one WMTA with the same number of tapes of another WMTA, which can be seen as a generalization of transducer intersection. In our approach, multi-tape intersection is not considered as an atomic operation but rather as a sequence of more elementary ones. We show an example of multi-tape intersection, actually transducer intersection, that can be compiled with our approach but not with several other methods that we analyzed. Finally we describe an example of practical application, namely the preservation of intermediate results in transduction cascades. Kempe, Guingne, Nicart. Algorithms for n-Tape Automata. XRCE Report 2004 / 031 2