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| (* ========================================================================= *) | |
| (* A tool for formal verification of nonlinear inequalities in HOL Light. *) | |
| (* *) | |
| (* (c) Alexey Solovyev 2012. *) | |
| (* *) | |
| (* Distributed under the same license as HOL Light. *) | |
| (* ========================================================================= *) | |
| needs "Multivariate/realanalysis.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* Main load. *) | |
| (* ------------------------------------------------------------------------- *) | |
| load_path := (Filename.concat (!hol_dir) "Formal_ineqs") :: | |
| (!load_path);; | |
| loadt "Formal_ineqs/verifier/m_verifier_main.hl";; | |
| open M_verifier_main;; | |
| (* ------------------------------------------------------------------------- *) | |
| (* See docs/FormalVerifier.pdf for more information. A simple example: *) | |
| (* *) | |
| (* let ineq = *) | |
| (* `-- &1 / sqrt(&3) <= x /\ x <= sqrt(&2) /\ -- sqrt(pi) <= y /\ y <= &1 *) | |
| (* ==> x pow 2 * y - x * y pow 4 + y pow 6 - &7 + x pow 4 > -- #7.17995`;; *) | |
| (* let th, stats = verify_ineq default_params 5 ineq;; *) | |
| (* *) | |
| (* These files contain more substantial examples: *) | |
| (* *) | |
| (* loadt "Formal_ineqs/examples.hl";; *) | |
| (* loadt "Formal_ineqs/examples_poly.hl";; *) | |
| (* loadt "Formal_ineqs/examples_flyspeck.hl";; *) | |
| (* ------------------------------------------------------------------------- *) | |