extended gf grammar, added more examples, added generated lexicon for nouns

gf_attempt/FLexicon.gf

@@ -4,6 +4,8 @@ abstract FLexicon = MCats ** {
     fun
         n_FIdentifier : FIdentifier;
         m_FIdentifier : FIdentifier;
+        A_FIdentifier : FIdentifier;
+        a_FIdentifier : FIdentifier;
 
         one_FNumeral : FNumeral;
 

gf_attempt/FLexiconEng.gf

@@ -2,6 +2,8 @@ concrete FLexiconEng of FLexicon = MCatsEng ** {
     lin
         n_FIdentifier = "n";
         m_FIdentifier = "m";
+        A_FIdentifier = "A";
+        a_FIdentifier = "a";
 
         one_FNumeral = "1";
 

gf_attempt/NGrammar.gf

@@ -9,6 +9,7 @@ abstract NGrammar = MCats, Grammar, Extra, ExtraEngAbs ** {
         mobj_such_that : MObj -> Statement -> PosNegPol -> MObj;  -- "integer such that ..."
         def_descr_mobj : MObj -> DefMObj;                     -- "cube" -> "the cube"
         appo_mobj : MObj -> MathCN -> MObj;                   -- "an integer $ mi ( n ) $
+        it_pron_defmobj : DefMObj;                            -- "it"
 
         exists_statement : MObj -> Statement;                 -- "integer" -> "there is an integer"
         not_exists_statement : MObj -> Statement;             -- "integer" -> "there is no integer"
@@ -18,9 +19,11 @@ abstract NGrammar = MCats, Grammar, Extra, ExtraEngAbs ** {
         iff_statementfin : StatementFin -> StatementFin -> StatementFin;
         and_statementfin : StatementFin -> StatementFin -> StatementFin;
         or_statementfin : StatementFin -> StatementFin -> StatementFin;
+        def_defmobj_defmobj : DefMObj -> DefMObj -> Statement; -- "the empty set is the set without elements"
 
         def_mobj_mobjprop : MObj -> MObjProp -> Definition;   -- "an integer is called prime"
         iff_definition : Definition -> StatementFin -> Definition; -- "... is called ... iff ..."
+        def_appo_is_mobj : MObj -> MathCN -> MObj -> Definition; -- "an alphabet $A$ is a finite set
 
         utter_statement : StatementFin -> Utterance;          -- essentially identity
         utter_definition : Definition -> Utterance;           -- essentially identity

gf_attempt/NGrammarEng.gf

@@ -8,6 +8,7 @@ concrete NGrammarEng of NGrammar = MCatsEng, GrammarEng, ExtraEng ** open Syntax
         def_descr_mobj obj = mkNP the_Art obj;
         mobj_such_that obj restr pol = mkCN obj (mkRS pol (mkRCl restr));
         appo_mobj obj mcn = lin CN { s = \\number,case_ => obj.s ! number ! case_ ++ mcn.s ! number ! case_; g = obj.g };
+        it_pron_defmobj = mkNP it_Pron;
 
         exists_statement obj = mkCl obj | ExistsNP (mkNP aSg_Det obj);
         not_exists_statement obj = mkCl (mkNP no_Quant obj) | ExistsNP (mkNP no_Quant obj);
@@ -23,6 +24,10 @@ concrete NGrammarEng of NGrammar = MCatsEng, GrammarEng, ExtraEng ** open Syntax
             (PastPartAP (mkVPSlash (mkV2A (mkV "call" "calls" "called" "called" "calling") noPrep) prop)));
         -- iff_definition defi condition = lin S { s = "iff" }; -- better solution for this?
         iff_definition defi condition = lin S { s = defi.s ++ "iff" ++ condition.s }; -- better solution for this?
+        def_defmobj_defmobj a b = mkCl a b;
+        def_appo_is_mobj definiendum representative definiens =
+            mkS (mkCl (DetCN {- mkNP is for some reason ambiguous -}
+                        aSg_Det (appo_mobj definiendum representative)) definiens);
 
         utter_statement s = mkUtt s;
         utter_definition s = mkUtt s;

gf_attempt/NLexicon.gf

 -- natural language lexicon
-abstract NLexicon = MCats ** {
+abstract NLexicon = MCats, NLexiconMObj ** {
     fun
-        integer_MObj : MObj;
+--        integer_MObj : MObj;
+--        set_MObj : MObj;
+--        alphabet_MObj : MObj;
+
+        finite_MObjProp : MObjProp;
+        empty_MObjProp : MObjProp;
         even_MObjProp : MObjProp;
         positive_MObjProp : MObjProp;
         prime_MObjProp : MObjProp;

gf_attempt/NLexiconEng.gf

-concrete NLexiconEng of NLexicon = MCatsEng ** open SyntaxEng, ParadigmsEng in {
+concrete NLexiconEng of NLexicon = MCatsEng, NLexiconMObjEng ** open SyntaxEng, ParadigmsEng in {
     lin
-        integer_MObj = mkCN (mkN "integer");
+--        integer_MObj = mkCN (mkN "integer");
+--        set_MObj = mkCN (mkN "set");
+--        alphabet_MObj = mkCN (mkN "alphabet");
+
+        finite_MObjProp = mkAP (mkA "finite");
+        empty_MObjProp = mkAP (mkA "empty");
         even_MObjProp = mkAP (mkA "even");
         positive_MObjProp = mkAP (mkA "positive");
         prime_MObjProp = mkAP (mkA "prime");

gf_attempt/NLexiconMObj.gf

+-- Automatically generated, slightly human-redacted (words like "author" have been removed) lexicon for the most common mathematical nouns of a sample of 2 * 10^6 sentences.
+-- Some physics papers were included, so a few physical nouns are contained as well.
+-- The machine learning algorithm is still under development and more refined and more complete results can be expected.
+-- Currently all nouns are of type MObj. This shouldn't be the case, as e.g. optimality does not represent a mathematical object.
+abstract NLexiconMObj = MCats ** {
+    fun
+        set_MObj : MObj;
+        function_MObj : MObj;
+        case_MObj : MObj;
+        space_MObj : MObj;
+        form_MObj : MObj;
+        point_MObj : MObj;
+        group_MObj : MObj;
+        result_MObj : MObj;
+        sequence_MObj : MObj;
+        operator_MObj : MObj;
+        map_MObj : MObj;
+        number_MObj : MObj;
+        algebra_MObj : MObj;
+        solution_MObj : MObj;
+        constant_MObj : MObj;
+        vector_MObj : MObj;
+        measure_MObj : MObj;
+        system_MObj : MObj;
+        time_MObj : MObj;
+        matrix_MObj : MObj;
+        metric_MObj : MObj;
+        class_MObj : MObj;
+        product_MObj : MObj;
+        field_MObj : MObj;
+        graph_MObj : MObj;
+        structure_MObj : MObj;
+        element_MObj : MObj;
+        polynomial_MObj : MObj;
+        boundary_MObj : MObj;
+        subset_MObj : MObj;
+        probability_MObj : MObj;
+        manifold_MObj : MObj;
+        state_MObj : MObj;
+        family_MObj : MObj;
+        basis_MObj : MObj;
+        action_MObj : MObj;
+        limit_MObj : MObj;
+        value_MObj : MObj;
+        representation_MObj : MObj;
+        way_MObj : MObj;
+        vertex_MObj : MObj;
+        process_MObj : MObj;
+        norm_MObj : MObj;
+        integer_MObj : MObj;
+        model_MObj : MObj;
+        existence_MObj : MObj;
+        sum_MObj : MObj;
+        term_MObj : MObj;
+        relation_MObj : MObj;
+        integral_MObj : MObj;
+        sense_MObj : MObj;
+        curvature_MObj : MObj;
+        bundle_MObj : MObj;
+        distribution_MObj : MObj;
+        ideal_MObj : MObj;
+        curve_MObj : MObj;
+        pair_MObj : MObj;
+        domain_MObj : MObj;
+        subgroup_MObj : MObj;
+        identity_MObj : MObj;
+        surface_MObj : MObj;
+        edge_MObj : MObj;
+        construction_MObj : MObj;
+        line_MObj : MObj;
+        notation_MObj : MObj;
+        algorithm_MObj : MObj;
+        component_MObj : MObj;
+        extension_MObj : MObj;
+        decomposition_MObj : MObj;
+        subspace_MObj : MObj;
+        isomorphism_MObj : MObj;
+        method_MObj : MObj;
+        index_MObj : MObj;
+        statement_MObj : MObj;
+        choice_MObj : MObj;
+        projection_MObj : MObj;
+        mapping_MObj : MObj;
+        variable_MObj : MObj;
+        distance_MObj : MObj;
+        interval_MObj : MObj;
+        setting_MObj : MObj;
+        parameter_MObj : MObj;
+        series_MObj : MObj;
+        weight_MObj : MObj;
+        path_MObj : MObj;
+        neighborhood_MObj : MObj;
+        density_MObj : MObj;
+        equivalence_MObj : MObj;
+        flow_MObj : MObj;
+        image_MObj : MObj;
+        energy_MObj : MObj;
+        factor_MObj : MObj;
+        contradiction_MObj : MObj;
+        kernel_MObj : MObj;
+        ring_MObj : MObj;
+        tensor_MObj : MObj;
+        connection_MObj : MObj;
+        geodesic_MObj : MObj;
+        consequence_MObj : MObj;
+        restriction_MObj : MObj;
+        lattice_MObj : MObj;
+        inverse_MObj : MObj;
+        intersection_MObj : MObj;
+        partition_MObj : MObj;
+        union_MObj : MObj;
+        plane_MObj : MObj;
+        ball_MObj : MObj;
+        expression_MObj : MObj;
+        orbit_MObj : MObj;
+        tree_MObj : MObj;
+        root_MObj : MObj;
+        derivative_MObj : MObj;
+        hamiltonian_MObj : MObj;
+        entropy_MObj : MObj;
+        approximation_MObj : MObj;
+        semigroup_MObj : MObj;
+        power_MObj : MObj;
+        change_MObj : MObj;
+        quotient_MObj : MObj;
+        embedding_MObj : MObj;
+        base_MObj : MObj;
+        chain_MObj : MObj;
+        transformation_MObj : MObj;
+        cone_MObj : MObj;
+        homomorphism_MObj : MObj;
+        difference_MObj : MObj;
+        expansion_MObj : MObj;
+        symmetry_MObj : MObj;
+        closure_MObj : MObj;
+        eigenvalue_MObj : MObj;
+        potential_MObj : MObj;
+        direction_MObj : MObj;
+        automorphism_MObj : MObj;
+        spectrum_MObj : MObj;
+        variety_MObj : MObj;
+        volume_MObj : MObj;
+        regularity_MObj : MObj;
+        computation_MObj : MObj;
+        rate_MObj : MObj;
+        context_MObj : MObj;
+        collection_MObj : MObj;
+        multiplication_MObj : MObj;
+        minimum_MObj : MObj;
+        word_MObj : MObj;
+        sphere_MObj : MObj;
+        error_MObj : MObj;
+        block_MObj : MObj;
+        permutation_MObj : MObj;
+        situation_MObj : MObj;
+        trace_MObj : MObj;
+        cohomology_MObj : MObj;
+        range_MObj : MObj;
+        morphism_MObj : MObj;
+        position_MObj : MObj;
+        stability_MObj : MObj;
+        category_MObj : MObj;
+        cycle_MObj : MObj;
+        torus_MObj : MObj;
+        subsequence_MObj : MObj;
+        application_MObj : MObj;
+        coefficient_MObj : MObj;
+        origin_MObj : MObj;
+        operation_MObj : MObj;
+        column_MObj : MObj;
+        interior_MObj : MObj;
+        mass_MObj : MObj;
+        subalgebra_MObj : MObj;
+        inclusion_MObj : MObj;
+        covering_MObj : MObj;
+        frame_MObj : MObj;
+        reduction_MObj : MObj;
+        description_MObj : MObj;
+        strategy_MObj : MObj;
+        game_MObj : MObj;
+        circle_MObj : MObj;
+        arc_MObj : MObj;
+        discussion_MObj : MObj;
+        triple_MObj : MObj;
+        complexity_MObj : MObj;
+        evolution_MObj : MObj;
+        diagram_MObj : MObj;
+        composition_MObj : MObj;
+        generalization_MObj : MObj;
+        symbol_MObj : MObj;
+        fiber_MObj : MObj;
+        observation_MObj : MObj;
+        role_MObj : MObj;
+        generator_MObj : MObj;
+        center_MObj : MObj;
+        growth_MObj : MObj;
+        isometry_MObj : MObj;
+        complement_MObj : MObj;
+        combination_MObj : MObj;
+        triangle_MObj : MObj;
+        variation_MObj : MObj;
+        node_MObj : MObj;
+        divisor_MObj : MObj;
+        input_MObj : MObj;
+        scale_MObj : MObj;
+        equilibrium_MObj : MObj;
+        region_MObj : MObj;
+        character_MObj : MObj;
+        characterization_MObj : MObj;
+        moment_MObj : MObj;
+        rest_MObj : MObj;
+        translation_MObj : MObj;
+        sign_MObj : MObj;
+        segment_MObj : MObj;
+        disk_MObj : MObj;
+        link_MObj : MObj;
+        framework_MObj : MObj;
+        concept_MObj : MObj;
+        bracket_MObj : MObj;
+        classification_MObj : MObj;
+        constraint_MObj : MObj;
+        kind_MObj : MObj;
+        expectation_MObj : MObj;
+        splitting_MObj : MObj;
+        exponent_MObj : MObj;
+        cocycle_MObj : MObj;
+        area_MObj : MObj;
+        homology_MObj : MObj;
+        martingale_MObj : MObj;
+        gradient_MObj : MObj;
+        period_MObj : MObj;
+        submanifold_MObj : MObj;
+        configuration_MObj : MObj;
+        comparison_MObj : MObj;
+        diffeomorphism_MObj : MObj;
+        loop_MObj : MObj;
+        output_MObj : MObj;
+        cell_MObj : MObj;
+        homeomorphism_MObj : MObj;
+        decay_MObj : MObj;
+        average_MObj : MObj;
+        shift_MObj : MObj;
+        angle_MObj : MObj;
+        contraction_MObj : MObj;
+        object_MObj : MObj;
+        list_MObj : MObj;
+        duality_MObj : MObj;
+        face_MObj : MObj;
+        quantity_MObj : MObj;
+        compactness_MObj : MObj;
+        goal_MObj : MObj;
+        invariance_MObj : MObj;
+        cost_MObj : MObj;
+        ordering_MObj : MObj;
+        singularity_MObj : MObj;
+        laplacian_MObj : MObj;
+        network_MObj : MObj;
+        deformation_MObj : MObj;
+        noise_MObj : MObj;
+        measurement_MObj : MObj;
+        foliation_MObj : MObj;
+        neighbourhood_MObj : MObj;
+        derivation_MObj : MObj;
+        reference_MObj : MObj;
+        hypersurface_MObj : MObj;
+        walk_MObj : MObj;
+        aim_MObj : MObj;
+        converse_MObj : MObj;
+        net_MObj : MObj;
+        lift_MObj : MObj;
+        coloring_MObj : MObj;
+        orientation_MObj : MObj;
+        determinant_MObj : MObj;
+        gap_MObj : MObj;
+        language_MObj : MObj;
+        leaf_MObj : MObj;
+        bijection_MObj : MObj;
+        event_MObj : MObj;
+        ratio_MObj : MObj;
+        dependence_MObj : MObj;
+        polytope_MObj : MObj;
+        copy_MObj : MObj;
+        reflection_MObj : MObj;
+        interpretation_MObj : MObj;
+        filtration_MObj : MObj;
+        knot_MObj : MObj;
+        orbifold_MObj : MObj;
+        resolution_MObj : MObj;
+        height_MObj : MObj;
+        effect_MObj : MObj;
+        factorization_MObj : MObj;
+        sheaf_MObj : MObj;
+        attractor_MObj : MObj;
+        particle_MObj : MObj;
+        branch_MObj : MObj;
+        bit_MObj : MObj;
+        protocol_MObj : MObj;
+        crossing_MObj : MObj;
+        source_MObj : MObj;
+        string_MObj : MObj;
+        perturbation_MObj : MObj;
+        search_MObj : MObj;
+        logic_MObj : MObj;
+        sample_MObj : MObj;
+        frequency_MObj : MObj;
+        supremum_MObj : MObj;
+        circuit_MObj : MObj;
+        functor_MObj : MObj;
+        velocity_MObj : MObj;
+        iteration_MObj : MObj;
+        rotation_MObj : MObj;
+        cube_MObj : MObj;
+        sequel_MObj : MObj;
+        program_MObj : MObj;
+        disc_MObj : MObj;
+        interaction_MObj : MObj;
+        immersion_MObj : MObj;
+        signature_MObj : MObj;
+        hyperplane_MObj : MObj;
+        grading_MObj : MObj;
+        body_MObj : MObj;
+        speed_MObj : MObj;
+        independence_MObj : MObj;
+        hull_MObj : MObj;
+        price_MObj : MObj;
+        valuation_MObj : MObj;
+        divergence_MObj : MObj;
+        box_MObj : MObj;
+        monotonicity_MObj : MObj;
+        endomorphism_MObj : MObj;
+        subgraph_MObj : MObj;
+        contribution_MObj : MObj;
+        identification_MObj : MObj;
+        soliton_MObj : MObj;
+        momentum_MObj : MObj;
+        terminology_MObj : MObj;
+        spacetime_MObj : MObj;
+        simplex_MObj : MObj;
+        requirement_MObj : MObj;
+        convolution_MObj : MObj;
+        core_MObj : MObj;
+        pole_MObj : MObj;
+        design_MObj : MObj;
+        cluster_MObj : MObj;
+        variance_MObj : MObj;
+        fraction_MObj : MObj;
+        channel_MObj : MObj;
+        cardinal_MObj : MObj;
+        stabilizer_MObj : MObj;
+        relationship_MObj : MObj;
+        filter_MObj : MObj;
+        axiom_MObj : MObj;
+        resolvent_MObj : MObj;
+        boundedness_MObj : MObj;
+        pattern_MObj : MObj;
+        cylinder_MObj : MObj;
+        positivity_MObj : MObj;
+        chart_MObj : MObj;
+        locus_MObj : MObj;
+        memory_MObj : MObj;
+        coupling_MObj : MObj;
+        jump_MObj : MObj;
+        summand_MObj : MObj;
+        evaluation_MObj : MObj;
+        shape_MObj : MObj;
+        remainder_MObj : MObj;
+        normalization_MObj : MObj;
+        parity_MObj : MObj;
+        behaviour_MObj : MObj;
+        communication_MObj : MObj;
+        machine_MObj : MObj;
+        tiling_MObj : MObj;
+        slice_MObj : MObj;
+        agent_MObj : MObj;
+        braid_MObj : MObj;
+        clique_MObj : MObj;
+        contrary_MObj : MObj;
+        hierarchy_MObj : MObj;
+        representative_MObj : MObj;
+        integrability_MObj : MObj;
+        annulus_MObj : MObj;
+        modification_MObj : MObj;
+        letter_MObj : MObj;
+        query_MObj : MObj;
+        implication_MObj : MObj;
+        observable_MObj : MObj;
+        trajectory_MObj : MObj;
+        difficulty_MObj : MObj;
+        substitution_MObj : MObj;
+        message_MObj : MObj;
+        localization_MObj : MObj;
+        poset_MObj : MObj;
+        dilation_MObj : MObj;
+        matter_MObj : MObj;
+        ordinal_MObj : MObj;
+        book_MObj : MObj;
+        fibration_MObj : MObj;
+        flag_MObj : MObj;
+        presence_MObj : MObj;
+        summation_MObj : MObj;
+        front_MObj : MObj;
+        pressure_MObj : MObj;
+        endpoint_MObj : MObj;
+        infimum_MObj : MObj;
+        assignment_MObj : MObj;
+        ultrafilter_MObj : MObj;
+        ray_MObj : MObj;
+        pairing_MObj : MObj;
+        groupoid_MObj : MObj;
+        smoothness_MObj : MObj;
+        macaulay_MObj : MObj;
+        idempotent_MObj : MObj;
+        estimation_MObj : MObj;
+        continuation_MObj : MObj;
+        variant_MObj : MObj;
+        background_MObj : MObj;
+        amount_MObj : MObj;
+        issue_MObj : MObj;
+        former_MObj : MObj;
+        minimizer_MObj : MObj;
+        parametrization_MObj : MObj;
+        commutator_MObj : MObj;
+        outcome_MObj : MObj;
+        utility_MObj : MObj;
+        multiplier_MObj : MObj;
+        grid_MObj : MObj;
+        alphabet_MObj : MObj;
+        fluid_MObj : MObj;
+        cusp_MObj : MObj;
+        occurrence_MObj : MObj;
+        objective_MObj : MObj;
+        eigenvector_MObj : MObj;
+        atom_MObj : MObj;
+        pde_MObj : MObj;
+        profile_MObj : MObj;
+        eigenfunction_MObj : MObj;
+        content_MObj : MObj;
+        coset_MObj : MObj;
+        bottom_MObj : MObj;
+        encoding_MObj : MObj;
+        realization_MObj : MObj;
+        matroid_MObj : MObj;
+        monoid_MObj : MObj;
+        congruence_MObj : MObj;
+        task_MObj : MObj;
+        threshold_MObj : MObj;
+        selection_MObj : MObj;
+        array_MObj : MObj;
+        tail_MObj : MObj;
+        market_MObj : MObj;
+        charge_MObj : MObj;
+        name_MObj : MObj;
+        radical_MObj : MObj;
+        monodromy_MObj : MObj;
+        temperature_MObj : MObj;
+        jacobian_MObj : MObj;
+        development_MObj : MObj;
+        candidate_MObj : MObj;
+        quandle_MObj : MObj;
+        slope_MObj : MObj;
+        site_MObj : MObj;
+        phenomenon_MObj : MObj;
+        payoff_MObj : MObj;
+        importance_MObj : MObj;
+        posedness_MObj : MObj;
+        analog_MObj : MObj;
+        rectangle_MObj : MObj;
+        picture_MObj : MObj;
+        population_MObj : MObj;
+        orthogonality_MObj : MObj;
+        lifting_MObj : MObj;
+        motivation_MObj : MObj;
+        compactification_MObj : MObj;
+        feature_MObj : MObj;
+        building_MObj : MObj;
+        environment_MObj : MObj;
+        compatibility_MObj : MObj;
+        minimality_MObj : MObj;
+        signal_MObj : MObj;
+        denominator_MObj : MObj;
+        piece_MObj : MObj;
+        fibre_MObj : MObj;
+        triangulation_MObj : MObj;
+        neighbor_MObj : MObj;
+        estimator_MObj : MObj;
+        twist_MObj : MObj;
+        inversion_MObj : MObj;
+        polygon_MObj : MObj;
+        survey_MObj : MObj;
+        quantization_MObj : MObj;
+        member_MObj : MObj;
+        similarity_MObj : MObj;
+        separation_MObj : MObj;
+        hypergraph_MObj : MObj;
+        recursion_MObj : MObj;
+        ensemble_MObj : MObj;
+        submersion_MObj : MObj;
+        uncertainty_MObj : MObj;
+        witness_MObj : MObj;
+        flux_MObj : MObj;
+        drift_MObj : MObj;
+        ode_MObj : MObj;
+        validity_MObj : MObj;
+        couple_MObj : MObj;
+        arrow_MObj : MObj;
+        finiteness_MObj : MObj;
+        location_MObj : MObj;
+        subvariety_MObj : MObj;
+        treatment_MObj : MObj;
+        oracle_MObj : MObj;
+        verifier_MObj : MObj;
+        continuum_MObj : MObj;
+        hessian_MObj : MObj;
+        simulation_MObj : MObj;
+        material_MObj : MObj;
+        topic_MObj : MObj;
+        division_MObj : MObj;
+        recovery_MObj : MObj;
+        isotopy_MObj : MObj;
+        rescaling_MObj : MObj;
+        band_MObj : MObj;
+        strip_MObj : MObj;
+        germ_MObj : MObj;
+        facet_MObj : MObj;
+        integrand_MObj : MObj;
+        pullback_MObj : MObj;
+        subbundle_MObj : MObj;
+        regularization_MObj : MObj;
+        superalgebra_MObj : MObj;
+        concentration_MObj : MObj;
+        counterexample_MObj : MObj;
+        exchange_MObj : MObj;
+        propagation_MObj : MObj;
+        envelope_MObj : MObj;
+        deviation_MObj : MObj;
+        tile_MObj : MObj;
+        performance_MObj : MObj;
+        history_MObj : MObj;
+        surgery_MObj : MObj;
+        spirit_MObj : MObj;
+        wedge_MObj : MObj;
+        logarithm_MObj : MObj;
+        verification_MObj : MObj;
+        counterpart_MObj : MObj;
+        rigidity_MObj : MObj;
+        singleton_MObj : MObj;
+        injectivity_MObj : MObj;
+        stratum_MObj : MObj;
+        sort_MObj : MObj;
+        reconstruction_MObj : MObj;
+        centre_MObj : MObj;
+        bifurcation_MObj : MObj;
+        horizon_MObj : MObj;
+        asset_MObj : MObj;
+        projector_MObj : MObj;
+        hole_MObj : MObj;
+        superposition_MObj : MObj;
+        corner_MObj : MObj;
+        distortion_MObj : MObj;
+        lack_MObj : MObj;
+        discriminant_MObj : MObj;
+        improvement_MObj : MObj;
+        gain_MObj : MObj;
+        policy_MObj : MObj;