Logics for Word Transductions with Synthesis
Luc Dartois, Emmanuel Filiot, Nathan Lhote · 2018
We introduce a logic, called ℒT, to express properties of transductions, i.e. binary relations from input to output (finite) words. In ℒT, the input/output dependencies are modelled via an origin function which associates to any position of the output word, the input position from which it originates. ℒT is well-suited to express relations (which are not necessarily functional), and can express all regular functional transductions, i.e. transductions definable for instance by deterministic two-way transducers.