├── .gitignore ├── LICENCE ├── README.md ├── RULES ├── TODO ├── _CoqProject ├── axiom_choice ├── axiom_choice.v ├── axiom_choice2.v ├── axiom_choice_gen.v ├── choice_sequence_ind.v ├── choice_sequence_ind2.v └── not_not_quot.v ├── bar_induction ├── bar_induction.v ├── bar_induction2.v ├── bar_induction2_con.v ├── bar_induction3.v ├── bar_induction3_con.v ├── bar_induction5_con.v ├── bar_induction_cterm.v ├── bar_induction_cterm2.v ├── bar_induction_cterm3.v ├── bar_induction_cterm4.v ├── bar_induction_sp.v ├── bar_induction_sp_rule.v └── bar_induction_test.v ├── cequiv ├── approx.v ├── approx_props1.v ├── approx_props2.v ├── approx_props3.v ├── approx_star.v ├── approx_star0.v ├── approx_star_abs.v ├── approx_star_def.v ├── approx_star_fresh.v ├── approx_star_props1.v ├── approx_star_props2.v ├── cequiv.v ├── cequiv_arith_props.v ├── cequiv_arith_props2.v ├── cequiv_bind.v ├── cequiv_cvterm.v ├── cequiv_fresh.v ├── cequiv_fresh2.v ├── cequiv_lsubst.v ├── cequiv_props.v ├── cequiv_props2.v ├── cequiv_props3.v ├── cequiv_props4.v ├── cequiv_props5.v ├── cequiv_seq_util.v ├── cequiv_tacs.v ├── continuity_defs_ceq.v ├── domain_th.v ├── eapprox.v ├── eapprox2.v ├── eapprox3.v ├── eapprox_props1.v ├── esqle.v ├── esqle2.v ├── esqle3.v ├── extensional_abs.v ├── extensional_apply.v ├── extensional_arith.v ├── extensional_cantest.v ├── extensional_cbv.v ├── extensional_decide.v ├── extensional_dsup.v ├── extensional_eapply.v ├── extensional_fix.v ├── extensional_fresh.v ├── extensional_minus.v ├── extensional_ncomp.v ├── extensional_parallel.v ├── extensional_sleep.v ├── extensional_spread.v ├── extensional_trycatch.v ├── extensional_tuni.v ├── lift_lsubst_tacs.v └── sqle.v ├── close ├── close_type_sys_per_admiss.v ├── close_type_sys_per_atom.v ├── close_type_sys_per_base.v ├── close_type_sys_per_disect.v ├── close_type_sys_per_effatom.v ├── close_type_sys_per_eisect.v ├── close_type_sys_per_eq.v ├── close_type_sys_per_eq2.v ├── close_type_sys_per_ffatom.v ├── close_type_sys_per_ffatoms.v ├── close_type_sys_per_func.v ├── close_type_sys_per_image.v ├── close_type_sys_per_init.v ├── close_type_sys_per_int.v ├── close_type_sys_per_ipertype.v ├── close_type_sys_per_isect.v ├── close_type_sys_per_m.v ├── close_type_sys_per_mono.v ├── close_type_sys_per_partial.v ├── close_type_sys_per_pertype.v ├── close_type_sys_per_pm.v ├── close_type_sys_per_product.v ├── close_type_sys_per_pw.v ├── close_type_sys_per_req.v ├── close_type_sys_per_set.v ├── close_type_sys_per_spertype.v ├── close_type_sys_per_sqequal.v ├── close_type_sys_per_sqle.v ├── close_type_sys_per_teq.v ├── close_type_sys_per_texc.v ├── close_type_sys_per_tunion.v ├── close_type_sys_per_uatom.v ├── close_type_sys_per_union.v └── close_type_sys_per_w.v ├── computation ├── atom_ren.v ├── computation.v ├── computation1.v ├── computation10.v ├── computation11.v ├── computation2.v ├── computation3.v ├── computation4.v ├── computation5.v ├── computation6.v ├── computation7.v ├── computation8.v ├── computation9.v ├── computation_apply.v ├── computation_arith.v ├── computation_cbv.v ├── computation_cft.v ├── computation_dec.v ├── computation_dec1.v ├── computation_exc.v ├── computation_injections.v ├── computation_less.v ├── computation_lib_extends.v ├── computation_mark.v ├── computation_minus.v ├── computation_pair.v ├── computation_preserve1.v ├── computation_preserve3.v ├── computation_preserve4.v ├── computation_preserve5.v ├── computation_preserves_abs2bot.v ├── computation_preserves_diff_abs_bot.v ├── computation_preserves_lib.v ├── computation_seq.v ├── compute_atmost_k_steps.v ├── library.v └── library_alpha.v ├── continuity ├── continuity.v ├── continuity2.v ├── continuity2_2.v ├── continuity3.v ├── continuity3_2.v ├── continuity3_2_v2.v ├── continuity3_ceq.v ├── continuity_axiom.v ├── continuity_axiom2.v ├── continuity_axiom2_v2.v ├── continuity_axiom3.v ├── continuity_defs.v ├── continuity_defs2.v ├── continuity_no_types.v ├── continuity_per.v ├── continuity_roadmap.v ├── continuity_rule.v ├── continuity_rule2.v ├── continuity_rule_gen.v ├── continuity_type.v ├── continuity_type_aux.v ├── continuity_type_aux_v2.v ├── continuity_type_v2.v ├── kripke.v ├── kripke2.v ├── rules_fresh.v ├── stronger_continuity_defs.v ├── stronger_continuity_defs0.v ├── stronger_continuity_defs1.v ├── stronger_continuity_defs2.v ├── stronger_continuity_defs3.v ├── stronger_continuity_defs4.v ├── stronger_continuity_defs4_aux.v ├── stronger_continuity_defs_typ.v ├── stronger_continuity_props1.v ├── stronger_continuity_props2.v ├── stronger_continuity_rule.v ├── stronger_continuity_rule2.v ├── stronger_continuity_rule3.v ├── stronger_continuity_rule4.v ├── stronger_continuity_rule4_v2.v ├── stronger_continuity_rule4_v2_2.v ├── stronger_continuity_rule4_v3.v ├── stronger_continuity_rule_rel.v ├── stronger_continuity_rule_v2.v ├── unsquashed_continuity.lean └── unsquashed_continuity.v ├── create_makefile.sh ├── nuprl_checker ├── Makefile ├── NuprlAsciiLex.mll ├── NuprlAsciiParse.mly ├── NuprlTerms.ml ├── NuprlTerms.mli ├── Parse.ml ├── Parse.mli ├── ParserNuprlAscii.ml ├── ParserNuprlAscii.mli ├── README.md ├── VM ├── equal_wf_primitive.term ├── true_wf.term-list ├── true_wf_primitive.term ├── uall_wf.term-list └── uall_wf_primitive.term ├── per ├── cequiv_cnterm.v ├── cequiv_util.v ├── chalts.v ├── choice-prop.v ├── choice-type.v ├── close_type_sys.v ├── consistency.v ├── dest_close.v ├── etype_family.v ├── function_all_types.v ├── functionality.v ├── integer_type.v ├── lsubst_hyps.v ├── lsubstc_vars.v ├── nuprl.v ├── nuprl2.v ├── nuprl_props.v ├── nuprl_type_sys.v ├── per.v ├── per_can.v ├── per_props_admiss.v ├── per_props_all.v ├── per_props_atom.v ├── per_props_cequiv.v ├── per_props_cequiv2.v ├── per_props_cequiv3.v ├── per_props_compute.v ├── per_props_disect.v ├── per_props_equality.v ├── per_props_equality2.v ├── per_props_equality_more.v ├── per_props_erase.v ├── per_props_false.v ├── per_props_ffatom.v ├── per_props_function.v ├── per_props_halts.v ├── per_props_iff.v ├── per_props_image.v ├── per_props_isect.v ├── per_props_mono.v ├── per_props_nat.v ├── per_props_nat2.v ├── per_props_not.v ├── per_props_partial.v ├── per_props_per.v ├── per_props_pertype.v ├── per_props_product.v ├── per_props_psquash.v ├── per_props_requality.v ├── per_props_set.v ├── per_props_squash.v ├── per_props_subtype_rel.v ├── per_props_tequality.v ├── per_props_top.v ├── per_props_true.v ├── per_props_uni.v ├── per_props_union.v ├── per_props_usquash.v ├── per_props_w.v ├── pmeq_lemmas.v ├── pweq_lemmas.v ├── rwper.v ├── seq_util.v ├── seq_util2.v ├── sequents.v ├── sequents2.v ├── sequents_atom.v ├── sequents_atom_tacs.v ├── sequents_equality.v ├── sequents_lib.v ├── sequents_props.v ├── sequents_squash.v ├── sequents_tacs.v ├── sequents_tacs2.v ├── sequents_useful.v ├── type_sys.v ├── type_sys_pfam.v ├── type_sys_useful.v ├── type_sys_useful2.v ├── type_system_intro.v ├── types_converge.v ├── union_all_types.v ├── univ_tacs.v ├── universe2_prop.v ├── universe2_type.v └── weak_consistency.v ├── rules.v ├── rules ├── kripkes_schema.v ├── kripkes_schema2.v ├── lsubstc_weak.v ├── name_invariance.v ├── nuprl_lemmas1.v ├── nuprl_lemmas2.v ├── proof.v ├── proof1.v ├── proof_with_lib.v ├── proof_with_lib_example1.v ├── proof_with_lib_non_dep.v ├── proof_with_lib_non_dep_example1.v ├── proof_with_lib_non_dep_example2.v ├── proof_with_lib_notation.v ├── proof_with_lib_notation2.v ├── rules_admiss.v ├── rules_application_to_exception.v ├── rules_apply.v ├── rules_apply_callbyvalue.v ├── rules_apply_exception.v ├── rules_arith.v ├── rules_arith_callbyvalue.v ├── rules_arith_exception.v ├── rules_atom_atom.v ├── rules_atom_struct.v ├── rules_axiom_cases.v ├── rules_barind.v ├── rules_base.v ├── rules_callbyvalue.v ├── rules_cbv_exception.v ├── rules_cft.v ├── rules_cft_callbyvalue.v ├── rules_cft_exception.v ├── rules_classical.v ├── rules_classical2.v ├── rules_classical3.v ├── rules_decide_exception.v ├── rules_elimination.v ├── rules_equality.v ├── rules_equality2.v ├── rules_equality3.v ├── rules_equality4.v ├── rules_equality5.v ├── rules_equality6.v ├── rules_equality7.v ├── rules_equality_equality.v ├── rules_equality_istype.v ├── rules_exception.v ├── rules_exception2.v ├── rules_false.v ├── rules_fixpoint.v ├── rules_free_from_atom.v ├── rules_function.v ├── rules_function2.v ├── rules_function_alt.v ├── rules_function_elim.v ├── rules_function_elim_pairwise.v ├── rules_functionality.v ├── rules_functionality_alt.v ├── rules_generalization.v ├── rules_halts_decide.v ├── rules_halts_spread.v ├── rules_image.v ├── rules_inl_inr_cases.v ├── rules_integer.v ├── rules_integer_division.v ├── rules_integer_ordered_ring.v ├── rules_integer_ring.v ├── rules_iper_function.v ├── rules_ipertype.v ├── rules_isect.v ├── rules_isect2.v ├── rules_isect_alt.v ├── rules_isect_elimination.v ├── rules_isect_equality.v ├── rules_isect_member_equality.v ├── rules_isect_member_formation.v ├── rules_isint.v ├── rules_isint_cases.v ├── rules_lambda.v ├── rules_less_exception.v ├── rules_minus.v ├── rules_mon.v ├── rules_mono.v ├── rules_move.v ├── rules_number.v ├── rules_partial.v ├── rules_partial1.v ├── rules_per_function.v ├── rules_pertype.v ├── rules_pertype2.v ├── rules_pertype_alt.v ├── rules_pertype_elimination1.v ├── rules_pertype_elimination2.v ├── rules_pertype_elimination3.v ├── rules_pertype_elimination4.v ├── rules_pertype_elimination5.v ├── rules_pertype_equality.v ├── rules_pertype_equality_alt.v ├── rules_product.v ├── rules_product_alt.v ├── rules_pw.v ├── rules_pw2.v ├── rules_pw3.v ├── rules_pw4.v ├── rules_pw_useful.v ├── rules_set.v ├── rules_sper_function.v ├── rules_spertype.v ├── rules_squash.v ├── rules_squiggle.v ├── rules_squiggle2.v ├── rules_squiggle3.v ├── rules_squiggle4.v ├── rules_squiggle5.v ├── rules_squiggle6.v ├── rules_squiggle7.v ├── rules_squiggle8.v ├── rules_squiggle9.v ├── rules_struct.v ├── rules_struct2.v ├── rules_struct_req.v ├── rules_subtype.v ├── rules_tequality.v ├── rules_try.v ├── rules_tyfam.v ├── rules_tyfam2.v ├── rules_typehood.v ├── rules_unfold.v ├── rules_uni.v ├── rules_union.v ├── rules_union_alt.v ├── rules_useful.v ├── rules_using_typehood.v ├── rules_void.v ├── rules_w.v └── sterm.v ├── terms ├── alphaeq.v ├── alphaeq2.v ├── alphaeq3.v ├── alphaeq4.v ├── alphaeq5.v ├── alphaeq_sub.v ├── arith_props.v ├── atoms.v ├── atoms2.v ├── cnterm.v ├── compare_cterm.v ├── cover.v ├── csubst.v ├── csubst2.v ├── csubst3.v ├── csubst4.v ├── csubst5.v ├── csubst6.v ├── csubst7.v ├── csubst8.v ├── csubst_arith.v ├── csubst_cft.v ├── csubst_decide.v ├── csubst_fresh.v ├── cvterm.v ├── cvterm2.v ├── cvterm3.v ├── cvterm4.v ├── istype.v ├── nat_defs.v ├── natk.v ├── natk2.v ├── opid.v ├── prog.v ├── psquash.v ├── rel_nterm.v ├── sosub_variant.v ├── soterms.v ├── sovar.v ├── sovar_alpha.v ├── subst_per.v ├── subst_props.v ├── subst_props2.v ├── subst_tacs.v ├── 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