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Diffstat (limited to 'plugins/romega/const_omega.mli')
| -rw-r--r-- | plugins/romega/const_omega.mli | 176 |
1 files changed, 176 insertions, 0 deletions
diff --git a/plugins/romega/const_omega.mli b/plugins/romega/const_omega.mli new file mode 100644 index 00000000..b8db71e4 --- /dev/null +++ b/plugins/romega/const_omega.mli @@ -0,0 +1,176 @@ +(************************************************************************* + + PROJET RNRT Calife - 2001 + Author: Pierre Crégut - France Télécom R&D + Licence : LGPL version 2.1 + + *************************************************************************) + + +(** Coq objects used in romega *) + +(* from Logic *) +val coq_refl_equal : Term.constr lazy_t +val coq_and : Term.constr lazy_t +val coq_not : Term.constr lazy_t +val coq_or : Term.constr lazy_t +val coq_True : Term.constr lazy_t +val coq_False : Term.constr lazy_t +val coq_I : Term.constr lazy_t + +(* from ReflOmegaCore/ZOmega *) +val coq_h_step : Term.constr lazy_t +val coq_pair_step : Term.constr lazy_t +val coq_p_left : Term.constr lazy_t +val coq_p_right : Term.constr lazy_t +val coq_p_invert : Term.constr lazy_t +val coq_p_step : Term.constr lazy_t + +val coq_t_int : Term.constr lazy_t +val coq_t_plus : Term.constr lazy_t +val coq_t_mult : Term.constr lazy_t +val coq_t_opp : Term.constr lazy_t +val coq_t_minus : Term.constr lazy_t +val coq_t_var : Term.constr lazy_t + +val coq_proposition : Term.constr lazy_t +val coq_p_eq : Term.constr lazy_t +val coq_p_leq : Term.constr lazy_t +val coq_p_geq : Term.constr lazy_t +val coq_p_lt : Term.constr lazy_t +val coq_p_gt : Term.constr lazy_t +val coq_p_neq : Term.constr lazy_t +val coq_p_true : Term.constr lazy_t +val coq_p_false : Term.constr lazy_t +val coq_p_not : Term.constr lazy_t +val coq_p_or : Term.constr lazy_t +val coq_p_and : Term.constr lazy_t +val coq_p_imp : Term.constr lazy_t +val coq_p_prop : Term.constr lazy_t + +val coq_f_equal : Term.constr lazy_t +val coq_f_cancel : Term.constr lazy_t +val coq_f_left : Term.constr lazy_t +val coq_f_right : Term.constr lazy_t + +val coq_c_do_both : Term.constr lazy_t +val coq_c_do_left : Term.constr lazy_t +val coq_c_do_right : Term.constr lazy_t +val coq_c_do_seq : Term.constr lazy_t +val coq_c_nop : Term.constr lazy_t +val coq_c_opp_plus : Term.constr lazy_t +val coq_c_opp_opp : Term.constr lazy_t +val coq_c_opp_mult_r : Term.constr lazy_t +val coq_c_opp_one : Term.constr lazy_t +val coq_c_reduce : Term.constr lazy_t +val coq_c_mult_plus_distr : Term.constr lazy_t +val coq_c_opp_left : Term.constr lazy_t +val coq_c_mult_assoc_r : Term.constr lazy_t +val coq_c_plus_assoc_r : Term.constr lazy_t +val coq_c_plus_assoc_l : Term.constr lazy_t +val coq_c_plus_permute : Term.constr lazy_t +val coq_c_plus_comm : Term.constr lazy_t +val coq_c_red0 : Term.constr lazy_t +val coq_c_red1 : Term.constr lazy_t +val coq_c_red2 : Term.constr lazy_t +val coq_c_red3 : Term.constr lazy_t +val coq_c_red4 : Term.constr lazy_t +val coq_c_red5 : Term.constr lazy_t +val coq_c_red6 : Term.constr lazy_t +val coq_c_mult_opp_left : Term.constr lazy_t +val coq_c_mult_assoc_reduced : Term.constr lazy_t +val coq_c_minus : Term.constr lazy_t +val coq_c_mult_comm : Term.constr lazy_t + +val coq_s_constant_not_nul : Term.constr lazy_t +val coq_s_constant_neg : Term.constr lazy_t +val coq_s_div_approx : Term.constr lazy_t +val coq_s_not_exact_divide : Term.constr lazy_t +val coq_s_exact_divide : Term.constr lazy_t +val coq_s_sum : Term.constr lazy_t +val coq_s_state : Term.constr lazy_t +val coq_s_contradiction : Term.constr lazy_t +val coq_s_merge_eq : Term.constr lazy_t +val coq_s_split_ineq : Term.constr lazy_t +val coq_s_constant_nul : Term.constr lazy_t +val coq_s_negate_contradict : Term.constr lazy_t +val coq_s_negate_contradict_inv : Term.constr lazy_t + +val coq_direction : Term.constr lazy_t +val coq_d_left : Term.constr lazy_t +val coq_d_right : Term.constr lazy_t +val coq_d_mono : Term.constr lazy_t + +val coq_e_split : Term.constr lazy_t +val coq_e_extract : Term.constr lazy_t +val coq_e_solve : Term.constr lazy_t + +val coq_interp_sequent : Term.constr lazy_t +val coq_do_omega : Term.constr lazy_t + +(** Building expressions *) + +val do_left : Term.constr -> Term.constr +val do_right : Term.constr -> Term.constr +val do_both : Term.constr -> Term.constr -> Term.constr +val do_seq : Term.constr -> Term.constr -> Term.constr +val do_list : Term.constr list -> Term.constr + +val mk_nat : int -> Term.constr +val mk_list : Term.constr -> Term.constr list -> Term.constr +val mk_plist : Term.types list -> Term.types +val mk_shuffle_list : Term.constr list -> Term.constr + +(** Analyzing a coq term *) + +(* The generic result shape of the analysis of a term. + One-level depth, except when a number is found *) +type parse_term = + Tplus of Term.constr * Term.constr + | Tmult of Term.constr * Term.constr + | Tminus of Term.constr * Term.constr + | Topp of Term.constr + | Tsucc of Term.constr + | Tnum of Bigint.bigint + | Tother + +(* The generic result shape of the analysis of a relation. + One-level depth. *) +type parse_rel = + Req of Term.constr * Term.constr + | Rne of Term.constr * Term.constr + | Rlt of Term.constr * Term.constr + | Rle of Term.constr * Term.constr + | Rgt of Term.constr * Term.constr + | Rge of Term.constr * Term.constr + | Rtrue + | Rfalse + | Rnot of Term.constr + | Ror of Term.constr * Term.constr + | Rand of Term.constr * Term.constr + | Rimp of Term.constr * Term.constr + | Riff of Term.constr * Term.constr + | Rother + +(* A module factorizing what we should now about the number representation *) +module type Int = + sig + (* the coq type of the numbers *) + val typ : Term.constr Lazy.t + (* the operations on the numbers *) + val plus : Term.constr Lazy.t + val mult : Term.constr Lazy.t + val opp : Term.constr Lazy.t + val minus : Term.constr Lazy.t + (* building a coq number *) + val mk : Bigint.bigint -> Term.constr + (* parsing a term (one level, except if a number is found) *) + val parse_term : Term.constr -> parse_term + (* parsing a relation expression, including = < <= >= > *) + val parse_rel : Proof_type.goal Tacmach.sigma -> Term.constr -> parse_rel + (* Is a particular term only made of numbers and + * - ? *) + val is_scalar : Term.constr -> bool + end + +(* Currently, we only use Z numbers *) +module Z : Int |