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add(named): the paper measure with machine checked counterexamples to its invariants (M5 metatheory)

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milner committed 2026-09-23 01:30:00 +02:00
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commit 4799079d0c
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graphs/theorems.json
+388 -41
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@@ -9,13 +9,13 @@
"html": "https://arxiv.org/html/2312.13270v1"
},
"milestones": [
"M0",
"M1",
"M2",
"M3",
"M4"
"M4",
"M5"
],
"current": "M4",
"current": "M5",
"nodes": [
{
"id": "fvs_lift",
@@ -294,7 +294,7 @@
"label": "of_trm_fvs",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -304,7 +304,7 @@
"label": "of_trm_lift",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -314,7 +314,7 @@
"label": "of_trm_open",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": [
@@ -326,7 +326,7 @@
"label": "of_trm_close",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -336,7 +336,7 @@
"label": "of_trm_injective",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -346,7 +346,7 @@
"label": "mfvs_lift_m",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -356,7 +356,7 @@
"label": "mfvs_close_m",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -366,7 +366,7 @@
"label": "mfvs_open_m",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": [
@@ -378,7 +378,7 @@
"label": "of_trm_plug",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -388,7 +388,7 @@
"label": "mred_of_red1",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -398,7 +398,7 @@
"label": "mred_context",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -408,7 +408,7 @@
"label": "mred_term_context",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": [
@@ -420,7 +420,7 @@
"label": "of_trm_moccurs",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -430,7 +430,7 @@
"label": "of_trm_moccurs0",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": [
@@ -442,7 +442,7 @@
"label": "mred_B_intro",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -452,7 +452,7 @@
"label": "mred_gc_intro",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -462,7 +462,7 @@
"label": "mred_r_intro",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -472,7 +472,7 @@
"label": "Plus_mred_of_Plus_red1",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -482,7 +482,7 @@
"label": "mred_full_comp_pure",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": [
@@ -495,7 +495,7 @@
"label": "mred_plus_one",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/Metaterm.v",
"depends": []
@@ -709,12 +709,359 @@
"file": "theory/Metatheory.v",
"depends": []
},
{
"id": "subred_intro",
"label": "subred_intro",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": []
},
{
"id": "subred_nred",
"label": "subred_nred",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": [
"subred_intro"
]
},
{
"id": "subred_Es_l",
"label": "subred_Es_l",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": [
"subred_intro"
]
},
{
"id": "subred_Es_r",
"label": "subred_Es_r",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": [
"subred_intro"
]
},
{
"id": "subred_Es_lr",
"label": "subred_Es_lr",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": [
"subred_Es_l",
"subred_Es_r"
]
},
{
"id": "subred_context",
"label": "subred_context",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": [
"subred_intro"
]
},
{
"id": "subred_context_rule",
"label": "subred_context_rule",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": [
"subred_context",
"subred_nred"
]
},
{
"id": "subred_of_Es_nred_Es",
"label": "subred_of_Es_nred_Es",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": [
"subred_intro"
]
},
{
"id": "nred_stable_source",
"label": "nred_stable_source",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": [
"subred_intro"
]
},
{
"id": "nred_stable_target",
"label": "nred_stable_target",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": [
"subred_intro"
]
},
{
"id": "StarN_trans",
"label": "StarN_trans",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": []
},
{
"id": "StarN_one_trans",
"label": "StarN_one_trans",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": []
},
{
"id": "PlusN_to_StarN",
"label": "PlusN_to_StarN",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": []
},
{
"id": "StarN_subred_context",
"label": "StarN_subred_context",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedEs.v",
"depends": [
"subred_context"
]
},
{
"id": "Mx_ge_0",
"label": "Mx_ge_0",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "head_has_pos",
"label": "head_has_pos",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "le_mul_of_one_le",
"label": "le_mul_of_one_le",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "nocc_le_Mx",
"label": "nocc_le_Mx",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": [
"head_has_pos",
"le_mul_of_one_le"
]
},
{
"id": "nfv_annot_bound_example",
"label": "nfv_annot_bound_example",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "Mx_fresh_fails",
"label": "Mx_fresh_fails",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": [
"nfv_annot_bound_example"
]
},
{
"id": "A1_C_related",
"label": "A1_C_related",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "A1_s_differ",
"label": "A1_s_differ",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "A1_Mx_differ",
"label": "A1_Mx_differ",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "A1_not_invariant",
"label": "A1_not_invariant",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": [
"A1_C_related",
"A1_s_differ"
]
},
{
"id": "Gc_special_nondecrease",
"label": "Gc_special_nondecrease",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "nred_Gc_special",
"label": "nred_Gc_special",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "s_metavar_empty",
"label": "s_metavar_empty",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "nred_R_selfloop",
"label": "nred_R_selfloop",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": []
},
{
"id": "current_sm_not_terminating",
"label": "current_sm_not_terminating",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": [
"nred_R_selfloop"
]
},
{
"id": "subred_selfloop",
"label": "subred_selfloop",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": [
"nred_R_selfloop",
"subred_nred"
]
},
{
"id": "current_subred_not_terminating",
"label": "current_subred_not_terminating",
"kind": "infra",
"status": "proved",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeasure.v",
"depends": [
"subred_selfloop"
]
},
{
"id": "isubst_meta_in",
"label": "isubst_meta_in",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -724,7 +1071,7 @@
"label": "isubst_meta_notin",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -734,7 +1081,7 @@
"label": "eqC_in_Es",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -744,7 +1091,7 @@
"label": "Es_ctx_any",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -754,7 +1101,7 @@
"label": "nred_R_intro",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -764,7 +1111,7 @@
"label": "Es_refl_any",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -774,7 +1121,7 @@
"label": "Es_sym_any",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -784,7 +1131,7 @@
"label": "Es_trans_any",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -794,7 +1141,7 @@
"label": "in_filter_neq",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -804,7 +1151,7 @@
"label": "filter_neq_in",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -814,7 +1161,7 @@
"label": "nplug_fv_mono",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": [
@@ -827,7 +1174,7 @@
"label": "nplug_fv_upper",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": [
@@ -840,7 +1187,7 @@
"label": "nred_core_fv",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": [
@@ -855,7 +1202,7 @@
"label": "nplug_esub_fv",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": [
@@ -868,7 +1215,7 @@
"label": "nred_fv",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": [
@@ -884,7 +1231,7 @@
"label": "in_filter_neq_iff",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": []
@@ -894,7 +1241,7 @@
"label": "Es_fv_both",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": [
@@ -907,7 +1254,7 @@
"label": "Es_fv",
"kind": "infra",
"status": "proved",
"milestone": "M0",
"milestone": "M5",
"section": "",
"file": "theory/NamedMeta.v",
"depends": [