Barrier certificates provide safety guarantees for hybrid systems. In this paper, we propose a
novel approach to synthesizing neural networks as barrier certificates. Candidate networks …

Solving Exists/Forall Problems With Yices Page 1 Solving Exists/Forall Problems With Yices
Extended Abstract Bruno Dutertre Computer Science Laboratory SRI International Bruno.Dutertre@sri.com …

Quantifier elimination methods for real closed fields are an intensively studied subject from
both theoretical and practical points of view. This thesis studies quantifier elimination based …

In 1988, Weispfenning published a seminal paper introducing a substitution technique for
quantifier elimination in the linear theories of ordered and valued fields. The original focus …

This abstract seeks to introduce the ISSAC community to the DEWCAD project, which is
based at Coventry University and the University of Bath, in the United Kingdom. The project …

This paper describes the HybridSAL relational abstracter–a tool for verifying continuous and
hybrid dynamical systems. The input to the tool is a model of a hybrid dynamical system and …

The classical approach to static cost analysis is based on transforming a given program into
cost relations and solving them into closed-form upper-bounds. It is known that for some …

Effective quantifier elimination procedures for first-order theories provide a powerful tool for
generically solving a wide range of problems based on logical specifications. In contrast to …

Quantifier elimination over the reals is a central problem in computational real algebraic
geometry, polynomial system solving and symbolic computation. Given a semi-algebraic …

LaSalle's invariance principle is a commonly used extension of Lyapunov's second method
to study asymptotic stability of nonlinear systems. If the system can be written in polynomial …