The Church Synthesis Problem Over Continuous Time

Speaker: Alex Rabinovich, Tel Aviv University

Tuesday, 14 November 2023, 14:00, Room 1Z56

Abstract: Church’s Problem asks for the construction of a procedure which, given a logical specification φ(I, O) between input ω-strings I and output ω-strings O, determines whether there exists an operator F that implements the specification in the sense that φ(I, F(I)) holds for all inputs I. Büchi and Landweber gave a procedure to solve Church’s problem for MSO specifications and operators computable by finite-state automata. We investigate a generalization of the Church synthesis problem to the continuous time of the non-negative reals. It turns out that in the continuous time there are phenomena which are very different from the canonical discrete time domain of the natural numbers.