semidefinite programming

Encoding Inductive Invariants as Barrier Certificates
We present the invariant barrier-certificate condition that witnesses unbounded-time safety of differential dynamical systems. The …
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Encoding Inductive Invariants as Barrier Certificates
Synthesizing Invariant Barrier Certificates via Difference-of-Convex Programming
A barrier certificate often serves as an inductive invariant that isolates an unsafe region from the reachable set of states, and hence …
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Synthesizing Invariant Barrier Certificates via Difference-of-Convex Programming
Unbounded-Time Safety Verification of Stochastic Differential Dynamics
In this paper, we propose a method for bounding the probability that a stochastic differential equation (SDE) system violates a safety …
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Unbounded-Time Safety Verification of Stochastic Differential Dynamics
Interpolant Synthesis for Quadratic Polynomial Inequalities and Combination with EUF
An algorithm for generating interpolants for formulas which are conjunctions of quadratic polynomial inequalities (both strict and …
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Interpolant Synthesis for Quadratic Polynomial Inequalities and Combination with EUF