{
  "asset": "Asset J \u2014 exact model-counted un-gameability",
  "class": "openssl_heartbeat (CVE-2014-0160)",
  "live_rederivation": true,
  "domain_size": 281474976710656,
  "domain_desc": "payload in [0, 2^16), record_len in [0, 2^32) \u2014 |D| = 2^48",
  "n_gamed_guards": 42,
  "exact": true,
  "all_over_acceptance_positive": true,
  "min_over_acceptance": 65536,
  "max_over_acceptance": 458742,
  "max_gameable_fraction": 1.6297789784402994e-09,
  "external_counter": "none (analytic authority + brute-force cross-check)",
  "method": "exact projected model count of the over-acceptance region {(p,r): guard_accepts AND NOT in_bounds}; analytic closed form (authority) verified against an independent pure-Python enumeration at reduced width. The region is entirely in the small-record regime so no 32-bit wrap occurs.",
  "capability": "turns the L5 sampled 17.5% over-acceptance RATE into an EXACT per-guard count \u2014 a model-counted certificate, the theorem-grade analogue of the DARPA SoK arXiv:2602.07666 16-46% (a capability differential over the tests+fuzzing standard, which can only sample this measure).",
  "honest_scope": "counts over the Heartbleed-class abstraction (BitVec-32 payload/record relation), the same class GATE 13 proves \u2014 NOT general program correctness. The external #SAT leg is corroboration; the analytic count verified by brute force is the authority.",
  "guards": [
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      "guard": "ovh=6,slk=4,op=le",
      "exact_over_acceptance": 65536,
      "exact_fraction_of_domain": 2.3283064365386963e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 64,
      "crosscheck_analytic": 64,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=1,slk=0,op=lt",
      "exact_over_acceptance": 65536,
      "exact_fraction_of_domain": 2.3283064365386963e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 64,
      "crosscheck_analytic": 64,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=1,slk=0,op=le",
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      "exact_fraction_of_domain": 4.656612873077393e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 128,
      "crosscheck_analytic": 128,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=0,slk=0,op=le",
      "exact_over_acceptance": 196608,
      "exact_fraction_of_domain": 6.984919309616089e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 192,
      "crosscheck_analytic": 192,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=2,slk=1,op=le",
      "exact_over_acceptance": 131072,
      "exact_fraction_of_domain": 4.656612873077393e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 128,
      "crosscheck_analytic": 128,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=3,slk=4,op=lt",
      "exact_over_acceptance": 196608,
      "exact_fraction_of_domain": 6.984919309616089e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 192,
      "crosscheck_analytic": 192,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=0,slk=4,op=le",
      "exact_over_acceptance": 458742,
      "exact_fraction_of_domain": 1.6297789784402994e-09,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 438,
      "crosscheck_analytic": 438,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=1,slk=3,op=lt",
      "exact_over_acceptance": 262143,
      "exact_fraction_of_domain": 9.313190219017997e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 255,
      "crosscheck_analytic": 255,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=0,slk=1,op=le",
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      "exact_fraction_of_domain": 9.313190219017997e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 255,
      "crosscheck_analytic": 255,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=3,slk=3,op=lt",
      "exact_over_acceptance": 131072,
      "exact_fraction_of_domain": 4.656612873077393e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 128,
      "crosscheck_analytic": 128,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=1,slk=2,op=le",
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      "exact_fraction_of_domain": 9.313190219017997e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 255,
      "crosscheck_analytic": 255,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=4,slk=4,op=lt",
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      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 128,
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      "crosscheck_agree": true
    },
    {
      "guard": "ovh=3,slk=3,op=le",
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      "crosscheck_brute": 192,
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      "crosscheck_agree": true
    },
    {
      "guard": "ovh=1,slk=2,op=lt",
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      "crosscheck_brute": 192,
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    },
    {
      "guard": "ovh=1,slk=3,op=le",
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    {
      "guard": "ovh=0,slk=2,op=lt",
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      "crosscheck_brute": 255,
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      "crosscheck_agree": true
    },
    {
      "guard": "ovh=2,slk=4,op=le",
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      "crosscheck_brute": 317,
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    },
    {
      "guard": "ovh=4,slk=3,op=le",
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      "crosscheck_brute": 128,
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    },
    {
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    },
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    },
    {
      "guard": "ovh=0,slk=1,op=lt",
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      "exact_fraction_of_domain": 6.984919309616089e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 192,
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      "crosscheck_agree": true
    },
    {
      "guard": "ovh=5,slk=4,op=le",
      "exact_over_acceptance": 131072,
      "exact_fraction_of_domain": 4.656612873077393e-10,
      "crosscheck_width": "payload<2^6, record<2^10",
      "crosscheck_brute": 128,
      "crosscheck_analytic": 128,
      "crosscheck_agree": true
    },
    {
      "guard": "ovh=5,slk=3,op=le",
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      "exact_fraction_of_domain": 2.3283064365386963e-10,
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      "crosscheck_brute": 64,
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      "crosscheck_agree": true
    },
    {
      "guard": "ovh=4,slk=4,op=le",
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      "exact_fraction_of_domain": 6.984919309616089e-10,
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      "crosscheck_brute": 192,
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      "crosscheck_agree": true
    },
    {
      "guard": "ovh=3,slk=2,op=le",
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      "exact_fraction_of_domain": 4.656612873077393e-10,
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      "crosscheck_brute": 128,
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      "crosscheck_agree": true
    },
    {
      "guard": "ovh=2,slk=2,op=lt",
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      "crosscheck_brute": 128,
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    },
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      "guard": "ovh=2,slk=3,op=lt",
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    {
      "guard": "ovh=1,slk=4,op=le",
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      "guard": "ovh=3,slk=4,op=le",
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      "guard": "ovh=2,slk=3,op=le",
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      "crosscheck_brute": 192,
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      "guard": "ovh=0,slk=0,op=lt",
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    {
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    {
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  ]
}