equal
deleted
inserted
replaced
5 |
5 |
6 header {* A decision method for universal multivariate real arithmetic with addition, |
6 header {* A decision method for universal multivariate real arithmetic with addition, |
7 multiplication and ordering using semidefinite programming *} |
7 multiplication and ordering using semidefinite programming *} |
8 |
8 |
9 theory Sum_Of_Squares |
9 theory Sum_Of_Squares |
10 imports Complex_Main (* "~~/src/HOL/Decision_Procs/Dense_Linear_Order" *) |
10 imports Complex_Main |
11 uses |
11 uses |
12 "positivstellensatz.ML" (* duplicate use!? -- cf. Euclidian_Space.thy *) |
12 "positivstellensatz.ML" |
13 "Sum_Of_Squares/sum_of_squares.ML" |
13 "Sum_Of_Squares/sum_of_squares.ML" |
14 "Sum_Of_Squares/positivstellensatz_tools.ML" |
14 "Sum_Of_Squares/positivstellensatz_tools.ML" |
15 "Sum_Of_Squares/sos_wrapper.ML" |
15 "Sum_Of_Squares/sos_wrapper.ML" |
16 begin |
16 begin |
17 |
17 |