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authorGravatar Stephane Glondu <steph@glondu.net>2010-07-21 09:46:51 +0200
committerGravatar Stephane Glondu <steph@glondu.net>2010-07-21 09:46:51 +0200
commit5b7eafd0f00a16d78f99a27f5c7d5a0de77dc7e6 (patch)
tree631ad791a7685edafeb1fb2e8faeedc8379318ae /contrib/romega/const_omega.mli
parentda178a880e3ace820b41d38b191d3785b82991f5 (diff)
Imported Upstream snapshot 8.3~beta0+13298
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diff --git a/contrib/romega/const_omega.mli b/contrib/romega/const_omega.mli
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-(*************************************************************************
-
- 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