activity
20142026
most citedFormal Synthesis of Lyapunov Neural Networks

129 citations · 153 across the 17 of their papers we have counts for

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9 papers · 1 filter

cs.LO2026

Complete -Regular Supermartingale Certificates

Alessandro Abate, Mirco Giacobbe, Sergey Ichtchenko +1

We introduce a general methodology for the construction of sound and complete proof rules for the almost-sure and quantitative acceptance of reactivity properties on time-homogeneo…

cs.LO2025

Branching Bisimulation Learning

Alessandro Abate, Mirco Giacobbe, Christian Micheletti +1

We introduce a bisimulation learning algorithm for non-deterministic transition systems. We generalise bisimulation learning to systems with bounded branching and extend its applic…

cs.LO2025

Quantitative Supermartingale Certificates

Alessandro Abate, Mirco Giacobbe, Diptarko Roy

We introduce a general methodology for quantitative model checking and control synthesis with supermartingale certificates. We show that every specification that is invariant to ti…

cs.LO2024

Neural Model Checking

Mirco Giacobbe, Daniel Kroening, Abhinandan Pal +1

We introduce a machine learning approach to model checking temporal logic, with application to formal hardware verification. Model checking answers the question of whether every ex…

cs.LO2024

Stochastic Omega-Regular Verification and Control with Supermartingales

Alessandro Abate, Mirco Giacobbe, Diptarko Roy

We present for the first time a supermartingale certificate for -regular specifications. We leverage the Robbins & Siegmund convergence theorem to characterize supermartingale c…

cs.LO2024

Bisimulation Learning

Alessandro Abate, Mirco Giacobbe, Yannik Schnitzer

We introduce a data-driven approach to computing finite bisimulations for state transition systems with very large, possibly infinite state space. Our novel technique computes stut…

cs.LO2023

On the Trade-off Between Efficiency and Precision of Neural Abstraction

Alec Edwards, Mirco Giacobbe, Alessandro Abate

Neural abstractions have been recently introduced as formal approximations of complex, nonlinear dynamical models. They comprise a neural ODE and a certified upper bound on the err…

cs.LO2023

Neural Abstractions

Alessandro Abate, Alec Edwards, Mirco Giacobbe

We present a novel method for the safety verification of nonlinear dynamical models that uses neural networks to represent abstractions of their dynamics. Neural networks have exte…

cs.LO2023

Quantitative Verification with Neural Networks

Alessandro Abate, Alec Edwards, Mirco Giacobbe +2

We present a data-driven approach to the quantitative verification of probabilistic programs and stochastic dynamical models. Our approach leverages neural networks to compute tigh…