Manna-Pnueli Games for Reactive Synthesis

10^th October 2025, 11:00 ALT
Daniel Hausmann

Abstract

Recently, the Manna-Pnueli Hierarchy has been used to define the temporal logics LTLf+ and PPLTL+, which allow to use finite-trace LTLf/PPLTL techniques in infinite-trace settings while achieving the expressiveness of full LTL. This talk will present the first actual solvers for reactive synthesis in these logics. These are based on games on graphs that leverage DFA-based techniques from LTLf/PPLTL to construct the game arena. We start with a symbolic solver based on Emerson-Lei games, which reduces lower-class properties (guarantee, safety) to higher ones (recurrence, persistence) before solving the game. We then introduce Manna-Pnueli games, which natively embed Manna-Pnueli objectives into the arena. These games are solved symbolically by composing solutions to a DAG of simpler Emerson-Lei games, resulting in a provably more efficient approach.