{ "all_holes_agree_with_v13_structural_result": true, "all_holes_gmin_is_semantic_maximum": true, "executed": true, "explicit_non_claim": "Does NOT enlarge the observable set beyond the CEGIS decision variables (k<=2 per hole); the claim is 'no Boolean function on THOSE observables is strictly-weaker-than-g_min and safe', exhaustively verified \u2014 it confirms, does not replace, the v13 structural proof over the full algebra.", "holes": [ { "anomalies": [], "characterizable": true, "genuine_weaker_and_safe_labels": [], "gmin_is_semantic_maximum": true, "has_genuine_weaker_unsafe_witness": true, "hole": "Commit", "k": 2, "kind": "guard", "n_behaviorally_weaker_than_gmin": 12, "n_functions_enumerated": 16, "n_genuine_weaker_and_safe": 0, "n_masked_formula_weaker_benign": 0, "n_safe_functions": 4, "no_genuinely_weaker_function_is_safe": true, "observables": [ "fresh", "staged" ], "procedure": "smd_bss_transition", "synthesized_minimal_guard": "ctxFresh", "verdict_table": [ { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "FALSE", "mask": 0, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT fresh AND NOT staged)", "mask": 1, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT fresh AND staged)", "mask": 2, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT fresh AND NOT staged) OR (NOT fresh AND staged)", "mask": 3, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(fresh AND NOT staged)", "mask": 4, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT fresh AND NOT staged) OR (fresh AND NOT staged)", "mask": 5, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT fresh AND staged) OR (fresh AND NOT staged)", "mask": 6, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT fresh AND NOT staged) OR (NOT fresh AND staged) OR (fresh AND NOT staged)", "mask": 7, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(fresh AND staged)", "mask": 8, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT fresh AND NOT staged) OR (fresh AND staged)", "mask": 9, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT fresh AND staged) OR (fresh AND staged)", "mask": 10, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT fresh AND NOT staged) OR (NOT fresh AND staged) OR (fresh AND staged)", "mask": 11, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(fresh AND NOT staged) OR (fresh AND staged)", "mask": 12, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT fresh AND NOT staged) OR (fresh AND NOT staged) OR (fresh AND staged)", "mask": 13, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT fresh AND staged) OR (fresh AND NOT staged) OR (fresh AND staged)", "mask": 14, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "TRUE", "mask": 15, "masked": false } ] }, { "anomalies": [], "characterizable": true, "genuine_weaker_and_safe_labels": [], "gmin_is_semantic_maximum": true, "has_genuine_weaker_unsafe_witness": true, "hole": "SwitchAhead", "k": 2, "kind": "guard", "n_behaviorally_weaker_than_gmin": 8, "n_functions_enumerated": 16, "n_genuine_weaker_and_safe": 0, "n_masked_formula_weaker_benign": 0, "n_safe_functions": 8, "no_genuinely_weaker_function_is_safe": true, "observables": [ "pressure", "crit" ], "procedure": "emlsr_switch", "synthesized_minimal_guard": "NOT (pressure AND crit_in_flight)", "verdict_table": [ { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "FALSE", "mask": 0, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT crit AND NOT pressure)", "mask": 1, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT crit AND pressure)", "mask": 2, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT crit AND NOT pressure) OR (NOT crit AND pressure)", "mask": 3, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(crit AND NOT pressure)", "mask": 4, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT crit AND NOT pressure) OR (crit AND NOT pressure)", "mask": 5, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT crit AND pressure) OR (crit AND NOT pressure)", "mask": 6, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT crit AND NOT pressure) OR (NOT crit AND pressure) OR (crit AND NOT pressure)", "mask": 7, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(crit AND pressure)", "mask": 8, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT crit AND NOT pressure) OR (crit AND pressure)", "mask": 9, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT crit AND pressure) OR (crit AND pressure)", "mask": 10, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT crit AND NOT pressure) OR (NOT crit AND pressure) OR (crit AND pressure)", "mask": 11, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(crit AND NOT pressure) OR (crit AND pressure)", "mask": 12, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT crit AND NOT pressure) OR (crit AND NOT pressure) OR (crit AND pressure)", "mask": 13, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT crit AND pressure) OR (crit AND NOT pressure) OR (crit AND pressure)", "mask": 14, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "TRUE", "mask": 15, "masked": false } ] }, { "anomalies": [], "characterizable": true, "genuine_weaker_and_safe_labels": [], "gmin_is_semantic_maximum": true, "has_genuine_weaker_unsafe_witness": true, "hole": "UseModel", "k": 2, "kind": "guard", "n_behaviorally_weaker_than_gmin": 14, "n_functions_enumerated": 16, "n_genuine_weaker_and_safe": 0, "n_masked_formula_weaker_benign": 0, "n_safe_functions": 2, "no_genuinely_weaker_function_is_safe": true, "observables": [ "aged", "drift" ], "procedure": "csi_lcm_fallback", "synthesized_minimal_guard": "NOT aged AND NOT drift", "verdict_table": [ { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "FALSE", "mask": 0, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT aged AND NOT drift)", "mask": 1, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT aged AND drift)", "mask": 2, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT aged AND NOT drift) OR (NOT aged AND drift)", "mask": 3, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(aged AND NOT drift)", "mask": 4, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT aged AND NOT drift) OR (aged AND NOT drift)", "mask": 5, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT aged AND drift) OR (aged AND NOT drift)", "mask": 6, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT aged AND NOT drift) OR (NOT aged AND drift) OR (aged AND NOT drift)", "mask": 7, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(aged AND drift)", "mask": 8, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT aged AND NOT drift) OR (aged AND drift)", "mask": 9, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT aged AND drift) OR (aged AND drift)", "mask": 10, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT aged AND NOT drift) OR (NOT aged AND drift) OR (aged AND drift)", "mask": 11, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(aged AND NOT drift) OR (aged AND drift)", "mask": 12, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT aged AND NOT drift) OR (aged AND NOT drift) OR (aged AND drift)", "mask": 13, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT aged AND drift) OR (aged AND NOT drift) OR (aged AND drift)", "mask": 14, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "TRUE", "mask": 15, "masked": false } ] }, { "anomalies": [], "characterizable": true, "genuine_weaker_and_safe_labels": [], "gmin_is_semantic_maximum": true, "has_genuine_weaker_unsafe_witness": true, "hole": "TxA", "k": 2, "kind": "guard", "n_behaviorally_weaker_than_gmin": 8, "n_functions_enumerated": 16, "n_genuine_weaker_and_safe": 0, "n_masked_formula_weaker_benign": 1, "n_safe_functions": 8, "no_genuinely_weaker_function_is_safe": true, "observables": [ "tA", "tB" ], "procedure": "multiap_token", "synthesized_minimal_guard": "NOT token_busy (NOT tB)", "verdict_table": [ { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "FALSE", "mask": 0, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT tA AND NOT tB)", "mask": 1, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT tA AND tB)", "mask": 2, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT tA AND NOT tB) OR (NOT tA AND tB)", "mask": 3, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(tA AND NOT tB)", "mask": 4, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT tA AND NOT tB) OR (tA AND NOT tB)", "mask": 5, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT tA AND tB) OR (tA AND NOT tB)", "mask": 6, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT tA AND NOT tB) OR (NOT tA AND tB) OR (tA AND NOT tB)", "mask": 7, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": true, "label": "(tA AND tB)", "mask": 8, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT tA AND NOT tB) OR (tA AND tB)", "mask": 9, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT tA AND tB) OR (tA AND tB)", "mask": 10, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT tA AND NOT tB) OR (NOT tA AND tB) OR (tA AND tB)", "mask": 11, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": true, "label": "(tA AND NOT tB) OR (tA AND tB)", "mask": 12, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": true, "label": "(NOT tA AND NOT tB) OR (tA AND NOT tB) OR (tA AND tB)", "mask": 13, "masked": true }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT tA AND tB) OR (tA AND NOT tB) OR (tA AND tB)", "mask": 14, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "TRUE", "mask": 15, "masked": false } ] }, { "anomalies": [], "characterizable": true, "genuine_weaker_and_safe_labels": [], "gmin_is_semantic_maximum": true, "has_genuine_weaker_unsafe_witness": true, "hole": "SendData", "k": 2, "kind": "guard", "n_behaviorally_weaker_than_gmin": 12, "n_functions_enumerated": 16, "n_genuine_weaker_and_safe": 0, "n_masked_formula_weaker_benign": 0, "n_safe_functions": 4, "no_genuinely_weaker_function_is_safe": true, "observables": [ "kc", "bnd" ], "procedure": "pqc_wifi_handshake", "synthesized_minimal_guard": "key_confirmed (kc)", "verdict_table": [ { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "FALSE", "mask": 0, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND NOT kc)", "mask": 1, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT bnd AND kc)", "mask": 2, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND NOT kc) OR (NOT bnd AND kc)", "mask": 3, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(bnd AND NOT kc)", "mask": 4, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND NOT kc) OR (bnd AND NOT kc)", "mask": 5, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND kc) OR (bnd AND NOT kc)", "mask": 6, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND NOT kc) OR (NOT bnd AND kc) OR (bnd AND NOT kc)", "mask": 7, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(bnd AND kc)", "mask": 8, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND NOT kc) OR (bnd AND kc)", "mask": 9, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT bnd AND kc) OR (bnd AND kc)", "mask": 10, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT bnd AND NOT kc) OR (NOT bnd AND kc) OR (bnd AND kc)", "mask": 11, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(bnd AND NOT kc) OR (bnd AND kc)", "mask": 12, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND NOT kc) OR (bnd AND NOT kc) OR (bnd AND kc)", "mask": 13, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT bnd AND kc) OR (bnd AND NOT kc) OR (bnd AND kc)", "mask": 14, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "TRUE", "mask": 15, "masked": false } ] }, { "anomalies": [], "characterizable": true, "genuine_weaker_and_safe_labels": [], "gmin_is_semantic_maximum": true, "has_genuine_weaker_unsafe_witness": true, "hole": "ConfirmKey", "k": 2, "kind": "guard", "n_behaviorally_weaker_than_gmin": 8, "n_functions_enumerated": 16, "n_genuine_weaker_and_safe": 0, "n_masked_formula_weaker_benign": 0, "n_safe_functions": 8, "no_genuinely_weaker_function_is_safe": true, "observables": [ "dg", "bnd" ], "procedure": "pqc_wifi_handshake", "synthesized_minimal_guard": "NOT downgrade OR transcript_bound", "verdict_table": [ { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "FALSE", "mask": 0, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT bnd AND NOT dg)", "mask": 1, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND dg)", "mask": 2, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND NOT dg) OR (NOT bnd AND dg)", "mask": 3, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(bnd AND NOT dg)", "mask": 4, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT bnd AND NOT dg) OR (bnd AND NOT dg)", "mask": 5, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND dg) OR (bnd AND NOT dg)", "mask": 6, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND NOT dg) OR (NOT bnd AND dg) OR (bnd AND NOT dg)", "mask": 7, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(bnd AND dg)", "mask": 8, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT bnd AND NOT dg) OR (bnd AND dg)", "mask": 9, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND dg) OR (bnd AND dg)", "mask": 10, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND NOT dg) OR (NOT bnd AND dg) OR (bnd AND dg)", "mask": 11, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(bnd AND NOT dg) OR (bnd AND dg)", "mask": 12, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT bnd AND NOT dg) OR (bnd AND NOT dg) OR (bnd AND dg)", "mask": 13, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT bnd AND dg) OR (bnd AND NOT dg) OR (bnd AND dg)", "mask": 14, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "TRUE", "mask": 15, "masked": false } ] }, { "anomalies": [], "characterizable": true, "genuine_weaker_and_safe_labels": [], "gmin_is_semantic_maximum": true, "has_genuine_weaker_unsafe_witness": true, "hole": "A_get_r2", "k": 2, "kind": "guard", "n_behaviorally_weaker_than_gmin": 12, "n_functions_enumerated": 16, "n_genuine_weaker_and_safe": 0, "n_masked_formula_weaker_benign": 0, "n_safe_functions": 4, "no_genuinely_weaker_function_is_safe": true, "observables": [ "ar1", "br1" ], "procedure": "cxl_forward_progress", "synthesized_minimal_guard": "A holds r1 (ar1)", "verdict_table": [ { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "FALSE", "mask": 0, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1)", "mask": 1, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND br1)", "mask": 2, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (NOT ar1 AND br1)", "mask": 3, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(ar1 AND NOT br1)", "mask": 4, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (ar1 AND NOT br1)", "mask": 5, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND br1) OR (ar1 AND NOT br1)", "mask": 6, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (NOT ar1 AND br1) OR (ar1 AND NOT br1)", "mask": 7, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(ar1 AND br1)", "mask": 8, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (ar1 AND br1)", "mask": 9, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND br1) OR (ar1 AND br1)", "mask": 10, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (NOT ar1 AND br1) OR (ar1 AND br1)", "mask": 11, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(ar1 AND NOT br1) OR (ar1 AND br1)", "mask": 12, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (ar1 AND NOT br1) OR (ar1 AND br1)", "mask": 13, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT ar1 AND br1) OR (ar1 AND NOT br1) OR (ar1 AND br1)", "mask": 14, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "TRUE", "mask": 15, "masked": false } ] }, { "anomalies": [], "characterizable": true, "genuine_weaker_and_safe_labels": [], "gmin_is_semantic_maximum": true, "has_genuine_weaker_unsafe_witness": true, "hole": "B_get_r2", "k": 2, "kind": "guard", "n_behaviorally_weaker_than_gmin": 12, "n_functions_enumerated": 16, "n_genuine_weaker_and_safe": 0, "n_masked_formula_weaker_benign": 0, "n_safe_functions": 4, "no_genuinely_weaker_function_is_safe": true, "observables": [ "br1", "ar1" ], "procedure": "cxl_forward_progress", "synthesized_minimal_guard": "B holds r1 (br1)", "verdict_table": [ { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "FALSE", "mask": 0, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1)", "mask": 1, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT ar1 AND br1)", "mask": 2, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (NOT ar1 AND br1)", "mask": 3, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(ar1 AND NOT br1)", "mask": 4, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (ar1 AND NOT br1)", "mask": 5, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND br1) OR (ar1 AND NOT br1)", "mask": 6, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (NOT ar1 AND br1) OR (ar1 AND NOT br1)", "mask": 7, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(ar1 AND br1)", "mask": 8, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (ar1 AND br1)", "mask": 9, "masked": false }, { "behaviorally_weaker_than_gmin": false, "formula_implies_gmin": true, "formula_weaker_than_gmin": false, "inductive": true, "label": "(NOT ar1 AND br1) OR (ar1 AND br1)", "mask": 10, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (NOT ar1 AND br1) OR (ar1 AND br1)", "mask": 11, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(ar1 AND NOT br1) OR (ar1 AND br1)", "mask": 12, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": false, "inductive": false, "label": "(NOT ar1 AND NOT br1) OR (ar1 AND NOT br1) OR (ar1 AND br1)", "mask": 13, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "(NOT ar1 AND br1) OR (ar1 AND NOT br1) OR (ar1 AND br1)", "mask": 14, "masked": false }, { "behaviorally_weaker_than_gmin": true, "formula_implies_gmin": false, "formula_weaker_than_gmin": true, "inductive": false, "label": "TRUE", "mask": 15, "masked": false } ] }, { "anomalies": [], "characterizable": true, "gmin_is_semantic_maximum": true, "hole": "RiskRises", "k": 1, "kind": "effect", "n_functions_enumerated": 2, "n_safe_functions": 1, "n_unsafe_functions": 1, "no_strictly_weaker_function_is_safe": true, "note": "effect hole: the complete finite option set {pre-test, leave} is exhausted (already maximal)", "observables": [ "" ], "procedure": "beam_ntn_handover", "safe_set_equals_downset_of_gmin": true, "synthesized_minimal_guard": "pre-test backup (backup:=True)", "verdict_table": [ { "inductive": true, "label": "pre-test backup (backup:=True)" }, { "inductive": false, "label": "leave backup unchanged" } ] } ], "honest_scope": "region-uniqueness modeling result within the explicit-state/z3 abstraction over the DECLARED decision-relevant observable set per hole (stated in each row) \u2014 NOT a legal essentiality / FTO opinion, NOT a tribunal prediction", "method": "exhaustive per-function enumeration of the FULL free Boolean algebra over each hole's declared observable set, each function run through the trusted prove_inductive oracle; an independent SECOND method confirming the v13 structural region-uniqueness theorem (telecom_formal/tools/lattice_complete.py) function-by-function", "n_effect_holes": 1, "n_guard_holes": 8, "n_holes": 9, "schema": "semantic-max-v64", "skipped": false, "total_boolean_functions_enumerated": 128 }