PBFD and PDFD: Formally Defined and Verified Methodologies and Empirical Evaluation for Scalable Full-Stack Software Engineering
Description
This paper introduces Primary Breadth-First Development (PBFD) and Primary Depth-First Development (PDFD), two formally defined and verified methodologies for scalable, industrial-grade full-stack software engineering. These approaches bridge a longstanding gap between formal methods and real-world development practice by enforcing structural correctness through graph-theoretic modeling. Unlike prior graph-based approaches, PBFD and PDFD operate over layered directed graphs and are formalized using unified state machines and Communicating Sequential Processes (CSP) to ensure critical properties, including bounded-refinement termination and structural completeness.
To coordinate hierarchical data at scale, we propose Three-Level Encapsulation (TLE)—a novel, bitmask-based encoding scheme that delivers provably constant-time updates. TLE’s formal guarantees underpin PBFD’s industrial-scale performance and scalability.
PBFD was empirically validated through an eight-year enterprise deployment, demonstrating over 20× faster development than Salesforce OmniScript and 7–8× faster query performance compared to conventional relational models. Additionally, both methodologies are supported by open-source MVPs, with PDFD’s implementation conclusively demonstrating its correctness-first design principles.
Together, PBFD and PDFD establish a reproducible, transparent framework that integrates formal verification into practical software development. All formal specifications, MVPs, and datasets are publicly available to foster academic research and industrial-grade adoption.
Files
PBFD_PDFD_Single.pdf
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Additional details
Additional titles
- Subtitle
- Graph-Theoretic Models, Unified State Machines, Encoded Hierarchies, and Industrial Validation
Identifiers
Dates
- Created
-
2025-08-15
Software
- Repository URL
- https://github.com/PBFD-MVP/PBFD-MVP
- Programming language
- C#
- Development Status
- Active