moved over material from AFP; most importantly on algebraic numbers and algebraically closed fields
(* Title: HOL/Library/Sum_of_Squares.thy
Author: Amine Chaieb, University of Cambridge
Author: Philipp Meyer, TU Muenchen
*)
section \<open>A decision procedure for universal multivariate real arithmetic
with addition, multiplication and ordering using semidefinite programming\<close>
theory Sum_of_Squares
imports Complex_Main
begin
ML_file \<open>Sum_of_Squares/positivstellensatz.ML\<close>
ML_file \<open>Sum_of_Squares/positivstellensatz_tools.ML\<close>
ML_file \<open>Sum_of_Squares/sum_of_squares.ML\<close>
ML_file \<open>Sum_of_Squares/sos_wrapper.ML\<close>
end