AG 1, AG 2, AG 3, INET, AG 4, AG 5, D6, SWS, RG1, MMCI   Info

AG Audience

English

75 Minutes

Kaiserslautern

In this talk, we consider synthesis of reactive systems interacting with environments using an infinite data domain. A popular formalism for specifying and modelling those systems is register automata and transducers. They extend finite-state automata by adding registers to store data values and to compare the incoming data values against stored ones. Synthesis from nondeterministic or universal register automata is undecidable in general. However, its register-bounded variant, where additionally a bound on the number of registers in a sought transducer is given, is known to be decidable for universal register automata which can compare data for equality, i.e., for data domain (N,=).

After briefly reviewing this result, we extend it to the domain (N,<) of natural numbers with linear order. Our solution is generic: we define a sufficient condition on data domains (regular approximability) for decidability of register-bounded synthesis. It allows one to use simple language-theoretic arguments and avoid technical game-theoretic reasoning. Further, by defining a generic notion of reducibility between data domains, we show the decidability of synthesis in the domain (N^d,<^d) of tuples of numbers equipped with the component-wise partial order and in the domain (Σ*, ≺) of finite strings with the prefix relation.

Susanne Girard

+49 631 9303 9605

--email hidden

passcode not visible

logged in users only