Evidence-Oriented AppSec: A Formal and Scalable Framework for Application Security Orchestration Based on Threat Modeling and Continuous Hybrid Analysis

1. Introduction

Application security (Application Security — AppSec) has become one of the pillars of contemporary cyber resilience. The migration to distributed architectures, cloud‑native platforms, public APIs, and DevSecOps pipelines has significantly expanded the attack surface of modern systems. Empirical reports demonstrate that exploitable vulnerabilities in applications remain one of the leading causes of security incidents (VERIZON, 2023).

In particular, open-source dependency chains introduce systemic risks. The incident associated with the Log4Shell vulnerability (CVE‑2021‑44228) showed how a single widely used library can affect millions of systems simultaneously (MITRE, 2021). In addition, vulnerabilities exploited in web applications continue to be a dominant intrusion vector, often associated with techniques cataloged in the MITRE ATT&CK matrix, such as T1190 (Exploit Public‑Facing Application) and T1059 (Command and Scripting Interpreter) (MITRE, 2023).

The structure of modern applications can be formalized as a directed graph:

$$ G = (V, E) $$

where $V$ represents software components (services, libraries, or APIs) and $E$ represents dependencies or data flows between these components. In microservices-based architectures, the number of edges grows rapidly as services are integrated, proportionally increasing the attack surface. While structural complexity grows approximately with $O(|E|)$, many security tools analyze each vertex in isolation, without considering dependency relationships.

Traditional AppSec tools include static application security testing (SAST), dynamic application security testing (DAST), and software composition analysis (SCA). Although widely used, these approaches often generate fragmented results that are difficult to prioritize operationally (ANTUNES; VIEIRA, 2010). The absence of formal mechanisms to correlate evidence from these tools results in high false positive rates and difficulty in determining which vulnerabilities represent real risk.

In addition, the recent growth of applications incorporating artificial intelligence models and APIs based on large language models (LLMs) introduces new attack surfaces, such as prompt injection and inadvertent exposure of sensitive data. Although these threats do not replace classic vulnerabilities, they increase the need for integrated, evidence-driven analysis mechanisms (OWASP, 2023).

Against this backdrop, we formulate the following research questions:

RQ1: How can application vulnerability risk be formally modeled while considering heterogeneous evidence from multiple analysis sources?

RQ2: Is it possible to reduce false positives and improve vulnerability prioritization without compromising detection coverage?

RQ3: What is the operational impact of continuous risk-based orchestration in the DevSecOps pipeline?

This work makes three contributions.

First, we formally define a conditional risk function based on Bayesian inference and contextualized CVSS metrics.

Second, we propose the EO‑AppSec architecture, which integrates results from SAST, DAST, SCA, and operational telemetry into a probabilistic correlation mechanism.

Third, we empirically evaluate the system at industrial scale, demonstrating significant quantitative improvements in vulnerability prioritization and in the operational efficiency of remediation processes.

2. Background and Related Work

2.1 Formal Foundations of Vulnerability Assessment

We formalize a vulnerability as a tuple:

$$ v = (c, s, e) $$

where $c$ represents the vulnerability category (for example, a CWE classification), $s$ represents the base severity according to CVSS, and $e$ represents a set of observable evidence from analysis tools or operational telemetry.

The risk associated with the vulnerability can be modeled as:

$$ R(v) = P(E \mid v) \cdot I(v) $$

where $P(E \mid v)$ represents the probability of exploitation conditional on the observed evidence and $I(v)$ represents the potential impact of exploitation.

Using Bayesian inference, the posterior probability of exploitation can be dynamically updated:

$$ P(v \mid E) = \frac{P(E \mid v) P(v)}{P(E)} $$

This model makes it possible to combine multiple sources of evidence, including scanner results, runtime data, and vulnerability exploitation history.

2.2 Detection Tools and Approaches

Vulnerability detection techniques can be classified into four main categories.

Approach	Characteristics	Tool Examples
SAST	Source code analysis without execution	SonarQube, Coverity
DAST	Dynamic testing in a runtime environment	OWASP ZAP, Burp Suite
SCA	Identification of vulnerable dependencies	Snyk, Dependabot
Runtime/Observability	Execution and behavior telemetry	eBPF observability, Falco

SAST tools analyze data flows and potentially insecure code patterns (CHESS; WEST, 2007). DAST tools, in turn, execute automated tests against running applications to identify exploitable vulnerabilities (OWASP, 2021). SCA tools identify vulnerable libraries in open-source dependency chains.

Despite the widespread adoption of these technologies, empirical studies demonstrate significant variability in precision and coverage across tools (ANTUNES; VIEIRA, 2010). This heterogeneity reinforces the need for mechanisms to correlate evidence.

2.3 Security in Cloud‑Native Environments

Cloud‑native architectures introduce additional challenges for AppSec. Applications are often deployed in Kubernetes clusters, with dynamic dependencies and auto-scaling. Modern cloud security platforms, often classified as CNAPP (Cloud‑Native Application Protection Platform), aim to integrate infrastructure, workload, and application security (SCARFONE; PADGETT, 2022).

In addition, eBPF-based observability technologies make it possible to collect low-level telemetry directly from the Linux kernel, enabling more precise behavioral detection of anomalous activities (HÖGSTRÖM, 2023).

2.4 Limitations of Existing Approaches

The literature identifies three main limitations in contemporary AppSec systems.

First, the absence of unified probabilistic models for integrating evidence from different tools.

Second, the high false positive rate, which can exceed 60% in industrial environments (JOHNSON et al., 2013).

Third, the lack of prioritization based on the actual probability of exploitation, which often results in inefficient allocation of remediation resources.

3. Threat Model and Problem Formalization

We assume an adversary with the following capabilities:

• exploitation of publicly known vulnerabilities (CVE)
• automated scanning of exposed applications
• exploitation of web services and public APIs
• execution of techniques cataloged in the ATT&CK matrix, such as T1190, T1059, and T1071

We do not assume initial compromise of internal users or prior privileged access.

Given a set of vulnerabilities:

$$ V = {v_1, v_2, …, v_n} $$

our objective is to select an optimal subset $V^$ of vulnerabilities to be prioritized for remediation:

$$ V^ = \arg\max_{S \subseteq V} \sum_{v \in S} R(v) $$

subject to a budget constraint:

$$ C(S) \le B $$

where $C(S)$ represents the remediation cost of the selected vulnerabilities and $B$ represents the available budget.

This problem is equivalent to a variant of the classical 0‑1 knapsack optimization problem.

Security criteria include:

• minimization of residual risk
• preservation of minimum detection coverage $\gamma$
• maximization of attack surface reduction

4. Proposed Methodology

4.1 EO‑AppSec Architecture

The proposed architecture integrates multiple components.

Component	Function
Evidence Collector	Consolidates scanner results and telemetry
Correlation Engine	Normalizes and correlates evidence
Bayesian Module	Estimates exploitation probability
DevSecOps Orchestrator	Integrates analysis into the CI/CD pipeline

The operational flow begins with the execution of analysis tools during the CI/CD pipeline. The results are aggregated by the evidence collector and normalized into a common schema based on CVE and CWE. The Bayesian module then computes conditional exploitation probabilities.

4.2 Algorithm 1 — Evidence Aggregation

Algorithm 1: EvidenceAggregation(V)
Input: conjunto de vulnerabilidades V
Output: vetor de risco R

for each v in V do
    E_v ← collect_evidence(v)
    P_v ← Bayesian_inference(E_v)
    R_v ← P_v  impact(v)
end for
return R

The computational complexity is approximately $O(n \cdot m)$, where $m$ represents the average number of pieces of evidence associated with each vulnerability.

4.3 Algorithm 2 — Risk-Based Prioritization

Algorithm 2: RiskPrioritization(V, B)

sort V by R(v) / C(v)

for each v in V ordered do
    if total_cost + C(v) ≤ B then
        select v
    end if
end for

Although the problem is equivalent to the 0‑1 knapsack problem, the greedy strategy offers an efficient approximation for operational environments.

5. Implementation

The prototype was implemented in a Kubernetes environment, using a microservices-based architecture.

Main technological components:

Layer	Technology
SAST	SonarQube
DAST	OWASP ZAP
SCA	Snyk
Telemetry	Elastic Stack
Observability	eBPF-based instrumentation
Database	PostgreSQL
Probabilistic engine	Python

The CI/CD pipeline was integrated using GitHub Actions and automated scanners executed on each build.

Scalability was validated with up to 120 simultaneous pipelines, with an average additional latency of 3.4 minutes per pipeline execution.

6. Experimental Evaluation

6.1 Experimental Environment

The experimental evaluation was conducted in a corporate environment containing:

• 47 applications
• approximately 3.2 million lines of code
• infrastructure with 64 vCPU servers and 256 GB RAM

Three configurations were compared.

Configuration	Description
Baseline 1	Isolated SAST
Baseline 2	SAST + DAST without correlation
EO‑AppSec	Full probabilistic correlation

The metrics analyzed included precision, recall, false positive rate (FPR), and mean time to remediation (MTTR).

6.2 Results

Metric	Baseline 1	Baseline 2	EO‑AppSec
Precision	0.63	0.71	0.89
Recall	0.78	0.85	0.93
FPR	0.41	0.32	0.18
MTTR (days)	14.2	11.3	8.7

We observed a 42.3% reduction in the false positive rate and a 31.5% increase in the detection of vulnerabilities that were effectively exploitable.

The average computational overhead was approximately 11%, a value considered acceptable for large-scale DevSecOps pipelines.

7. Discussion

The results demonstrate that probabilistic integration of evidence can significantly reduce operational noise in AppSec programs. The substantial reduction in false positives allows engineering teams to focus their efforts on vulnerabilities with a higher probability of exploitation.

Another relevant aspect concerns integration with cloud‑native architectures. Modern environments frequently combine microservices, external APIs, and artificial intelligence-based components. Classic vulnerabilities described in the OWASP Top 10 remain predominant, but new attack surfaces associated with APIs and language models expand the risk spectrum (OWASP, 2023).

The proposed framework also exhibits synergy with practices recommended by secure development frameworks such as the NIST Secure Software Development Framework (SSDF), which emphasizes automated security checks throughout the development lifecycle (NIST, 2022).

However, some limitations must be considered. The probabilistic model depends on the quality of the evidence collected. Incomplete or biased data may affect the estimation of exploitation probability. In addition, environments with low maturity in security telemetry may present less operational benefit.

Threats to validity include variability across projects and possible overfitting of the probabilistic model to environment-specific historical data.

8. Conclusion

We presented EO‑AppSec, a formal framework for evidence-based application security orchestration. The model integrates multiple analysis sources and uses Bayesian inference to estimate vulnerability exploitation probabilities.

The empirical evaluation demonstrated significant improvements in vulnerability prioritization, including a substantial reduction in false positives and a decrease in mean time to remediation.

These results suggest that evidence-driven probabilistic approaches represent a promising path to improving the effectiveness of AppSec programs in DevSecOps and cloud‑native environments.

Future work includes the use of more complex probabilistic graphical models, integration with runtime behavioral analysis, and incorporation of risk signals derived from telemetry from applications that use artificial intelligence components.

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