Links' Seminars and Public Events |
Fri, March 23, 2018 10:00 am 11:30 am | Paul Gallot: High-Order Tree Transducers Paul présentera le papier de Sylvain, Aurélien et Paul, soumis à LICS 2018, sur le sujet des transducteurs d'arbres d'ordre supérieur. |
Wed, March 21, 2018 2:00 pm 3:15 pm | répétition Delta |
Fri, March 16, 2018 10:00 am 11:30 am | Luc Dartois in Links' Seminar: A Logic for Word Transductions with Synthesis In this talk I present a logic, called LT, to express properties of transductions, i.e. binary relations from input to output (finite) words. I argue that LT is a suitable candidate as a specification language for verification of non reactive systems, extending the successful approach of verifying synchronous systems via Mealy Machines and MSO. 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. Despite its high expressive power, LT has decidable satisfiability problems. The main contribution is a synthesis result: it is always possible to synthesis a regular function which satisfies the specification. Finally, I explicit a correspondence between transductions and data words. As a side-result, we obtain a new decidable logic for data words. Inria Lille |