# Environmentally-friendly GR(1) Synthesis

Many problems in reactive synthesis are stated using two formulas ---an environment assumption and a system guarantee--- and ask for an implementation that satisfies the guarantee in environments that satisfy their assumption. Reactive synthesis tools often produce strategies that formally satisfy such specifications by actively preventing an environment assumption from holding. While formally correct, such strategies do not capture the intention of the designer. We introduce an additional requirement in reactive synthesis, non-conflictingness, which asks that a system strategy should always allow the environment to fulfill its liveness requirements. We give an algorithm for solving GR(1) synthesis that produces non-conflicting strategies. Our algorithm is given by a 4-nested fixed point in the μ-calculus, in contrast to the usual 3-nested fixed point for GR(1). Our algorithm ensures that, in every environment that satisfies its assumptions on its own, traces of the resulting implementation satisfy both the assumptions and the guarantees. In addition, the asymptotic complexity of our algorithm is the same as that of the usual GR(1) solution. We have implemented our algorithm and show how its performance compares to the usual GR(1) synthesis algorithm.

• 31 publications
• 11 publications
• 4 publications
04/13/2018

### Reactive Control Improvisation

Reactive synthesis has become a widely-used paradigm for automatically b...
03/27/2018

### Reactive Synthesis: Towards Output-Sensitive Algorithms

Reactive synthesis is a technology for the automatic construction of rea...
10/12/2019

### Minimal Assumptions Refinement for GR(1) Specifications

Reactive synthesis is concerned with finding a correct-by-construction c...
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### Performance Heuristics for GR(1) Synthesis and Related Algorithms

Reactive synthesis for the GR(1) fragment of LTL has been implemented an...
03/14/2022

### Let's Collaborate: Regret-based Reactive Synthesis for Robotic Manipulation

As robots gain capabilities to enter our human-centric world, they requi...
04/10/2018

### Coverability: Realizability Lower Bounds

We introduce the problem of temporal coverability for realizability and ...
07/03/2020

### Supervisory Controller Synthesis for Non-terminating Processes is an Obliging Game

We present a new algorithm to solve the supervisory control problem over...