A brief overview is presented of MetiTarski 4, an automatic theorem prover for real-valued
special functions: ln, \exp, sin, cos, etc. MetiTarski operates through a unique interaction …

Cylindrical algebraic decomposition (CAD) is an important tool for the study of real algebraic
geometry with many applications both within mathematics and elsewhere. It is known to …

The current challenges in Global Software Development (GSD) necessitate support from
software tools with special features. In this work, we explain which features are desirable for …

In this paper we propose a novel approach for checking satisfiability of non-linear
constraints over the reals, called ksmt. The procedure is based on conflict resolution in …

We contribute a new dataset composed of more than 41K MetiTarski challenges that can be
used to investigate applications of machine learning (ML) in determining efficient variable …

We present a proof procedure for univariate real polynomial problems in Isabelle/HOL. The
core mathematics of our procedure is based on univariate cylindrical algebraic …

Hybrid systems with both discrete and continuous dynamics are an important model for real-
world cyber-physical systems. The key challenge is to ensure their correct functioning wrt …

This paper presents a construction of the real algebraic numbers with executable arithmetic
operations in Isabelle/HOL. Instead of verified resultants, arithmetic operations on real …

We show how to generate and validate logical proofs of unsatisfiability from delta-complete
decision procedures that rely on error-prone numerical algorithms. Solving this problem is …

Cylindrical Algebraic Decomposition (CAD) is a key proof technique for formal verification of
cyber-physical systems. CAD is computationally expensive, with worst-case doubly …