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 …

Real analysis is pervasive to many applications, if only because it is a suitable tool for
modeling physical or socio-economical systems. As such, its support is warranted in proof …

Many theorems involving special functions such as ln, exp and sin can be proved
automatically by MetiTarski: a resolution theorem prover modified to call a decision …

Gappa is a tool designed to formally verify the correctness of numerical software and
hardware. It uses interval arithmetic and forward error analysis to bound mathematical …

This paper introduces a static analysis technique for computing formally verified round-off
error bounds of floating-point functional expressions. The technique is based on a …

This paper presents a formalization in higher-order logic of a practical representation of
multivariate Bernstein polynomials. Using this representation, an algorithm for finding lower …

In the recent years, numerous proof systems have improved enough to be used for formally
verifying non-trivial mathematical results. They, however, have different purposes and it is …

Differential dynamic logic (dL) is a formal framework for specifying and reasoning about
hybrid systems, ie, dynamical systems that exhibit both continuous and discrete behaviors …

Numerous state-feedback and observer designs for nonlinear dynamic systems (NDS) have
been developed in the past three decades. These designs assume that NDS nonlinearities …

The verification of floating-point mathematical libraries requires computing numerical
bounds on approximation errors. Due to the tightness of these bounds and the peculiar …