Deterministic SAT Decision Under Restrictions: Decision Signatures, Residual Structure, and a Structural Reduction of the P vs. NP Question
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2025
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| _version_ | 1866901355233280000 |
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| author | Schenk, Philipp |
| author_facet | Schenk, Philipp |
| contents | <p>This record contains a series of research papers on deterministic decision procedures for<br>Boolean satisfiability (SAT), focusing on their behavior under syntactic restrictions<br>(partial assignments).</p> <p>The papers study SAT decision from an extensional and structural perspective. Instead of<br>analyzing specific algorithms or computational models, they investigate the induced<br>decision behavior on the canonical restriction tree associated with SAT self-reduction.<br>Key notions developed across the series include decision signatures, residual equivalence<br>under future extensions, restriction-induced instability, and canonical minimization of<br>decision behavior.</p> <p>Several contributions explore how deterministic decision procedures interact with<br>restriction at the level of decision-relevant information, including the conditions under<br>which such information can or cannot be summarized, transported, or stabilized across<br>restrictions. The series also examines parity-based constructions and structural<br>instability phenomena related to well-known SAT encodings.</p> <p>The collection does not claim a proof of the P versus NP problem. Its aim is to document a<br>structural framework and a sequence of reductions that clarify how questions about<br>deterministic polynomial-time SAT decision relate to restriction behavior, residual<br>structure, and established concepts from structural and descriptive complexity theory.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18027205 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Deterministic SAT Decision Under Restrictions: Decision Signatures, Residual Structure, and a Structural Reduction of the P vs. NP Question Schenk, Philipp deterministic decision P vs NP PvsNP SAT restriction signatures partial assignments self-reducibility residual decision behavior decision without state information incompression structural complexity theory descriptive complexity fixed-point logic proof complexity Tseitin contradictions CFI constructions decision stability polynomial time complexity theory foundations <p>This record contains a series of research papers on deterministic decision procedures for<br>Boolean satisfiability (SAT), focusing on their behavior under syntactic restrictions<br>(partial assignments).</p> <p>The papers study SAT decision from an extensional and structural perspective. Instead of<br>analyzing specific algorithms or computational models, they investigate the induced<br>decision behavior on the canonical restriction tree associated with SAT self-reduction.<br>Key notions developed across the series include decision signatures, residual equivalence<br>under future extensions, restriction-induced instability, and canonical minimization of<br>decision behavior.</p> <p>Several contributions explore how deterministic decision procedures interact with<br>restriction at the level of decision-relevant information, including the conditions under<br>which such information can or cannot be summarized, transported, or stabilized across<br>restrictions. The series also examines parity-based constructions and structural<br>instability phenomena related to well-known SAT encodings.</p> <p>The collection does not claim a proof of the P versus NP problem. Its aim is to document a<br>structural framework and a sequence of reductions that clarify how questions about<br>deterministic polynomial-time SAT decision relate to restriction behavior, residual<br>structure, and established concepts from structural and descriptive complexity theory.</p> |
| title | Deterministic SAT Decision Under Restrictions: Decision Signatures, Residual Structure, and a Structural Reduction of the P vs. NP Question |
| topic | deterministic decision P vs NP PvsNP SAT restriction signatures partial assignments self-reducibility residual decision behavior decision without state information incompression structural complexity theory descriptive complexity fixed-point logic proof complexity Tseitin contradictions CFI constructions decision stability polynomial time complexity theory foundations |
| url | https://doi.org/10.5281/zenodo.18027205 |