Can Z3 handle sinusoidal and exponential functions

Question

Based on some non-linear constraints on $a_k$,$b_k$, I have to find feasible set of the following fourier series expression:

$ x(t)= {a_0+ \\sum_{k=         


        

Answer 1

Unfortunately, Z3 does not have support for transcendental functions such as sin, cos and exponential yet. The current version can only handle nonlinear polynomial constraints. You may consider the MetiTarski theorem prover. BTW, MetiTarski uses Z3 to discharge nonlinear polynomial constraints.