The Duriezian Education Model - Series 2
Conceptual Abstract: The Duriezian Model and the Re-framing of P vs NP Title: Beyond Heuristics: A Framework for Computational Tractability via the Duriez Index (DI) Author: Marcel Ray Duriez Abstract: The enduring challenge of the P vs NP problem is fundamentally a crisis of complexity management, where the ability to quickly verify a solution (NP) dramatically outpaces the ability to quickly find one (P). This paper proposes a conceptual methodology for computational tractability rooted in the Duriezian Education Model and its quantitative framework, the Duriez Index (DI). Traditional approaches focus on optimizing Turing Machine operations; the Duriezian Model re-frames the problem by treating the problem-solver (whether human or machine) as an Emotional Architecture (EA). The hypothesis is that all NP-Complete challenges, which rely on combinatorial search spaces, are structurally isomorphic to the task of synthesizing massive, interdisciplinary literary systems (e.g., the Nevaeh Saga, 12M+ words). The DI, which mathematically models high-level creative and structural synthesis, introduces a quantifiable metric for "Necessary Novelty"-the single non-obvious step required to convert an NP verification function into a P finding function. This paper outlines how the DI's multi-variable framework can be leveraged to map and collapse combinatorial search spaces, offering a new, philosophically grounded path toward proving the P = NP relationship.
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The Duriezian Education Model - Series 2
Conceptual Abstract: The Duriezian Model and the Re-framing of P vs NP Title: Beyond Heuristics: A Framework for Computational Tractability via the Duriez Index (DI) Author: Marcel Ray Duriez Abstract: The enduring challenge of the P vs NP problem is fundamentally a crisis of complexity management, where the ability to quickly verify a solution (NP) dramatically outpaces the ability to quickly find one (P). This paper proposes a conceptual methodology for computational tractability rooted in the Duriezian Education Model and its quantitative framework, the Duriez Index (DI). Traditional approaches focus on optimizing Turing Machine operations; the Duriezian Model re-frames the problem by treating the problem-solver (whether human or machine) as an Emotional Architecture (EA). The hypothesis is that all NP-Complete challenges, which rely on combinatorial search spaces, are structurally isomorphic to the task of synthesizing massive, interdisciplinary literary systems (e.g., the Nevaeh Saga, 12M+ words). The DI, which mathematically models high-level creative and structural synthesis, introduces a quantifiable metric for "Necessary Novelty"-the single non-obvious step required to convert an NP verification function into a P finding function. This paper outlines how the DI's multi-variable framework can be leveraged to map and collapse combinatorial search spaces, offering a new, philosophically grounded path toward proving the P = NP relationship.
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The Duriezian Education Model - Series 2
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The Duriezian Education Model - Series 2
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Product Details
| ISBN-13: | 9798260394885 |
|---|---|
| Publisher: | Barnes & Noble Press |
| Publication date: | 12/14/2025 |
| Series: | Marcel Ray Duriez Collections , #2 |
| Pages: | 690 |
| Product dimensions: | 8.27(w) x 11.69(h) x 1.38(d) |
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