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Bibliographic Details
Main Author: ueda, takashi
Format: Recurso digital
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Published: Zenodo 2026
Online Access:https://doi.org/10.5281/zenodo.19858043
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Table of Contents:
  • <p>This paper formalizes the core axioms of Operation-Aware Arithmetic (OAA). We redefine</p> <p>mathematical expressions as dynamic command sequences where information is preserved</p> <p>within the operational history. The solvability of an equation is determined strictly by</p> <p>the bijectivity of its operators or the sequential protection of solution data. We conclude</p> <p>that for degree n ≥ 5, algebraic solvability is possible if and only if the solution formula is</p> <p>encapsulated as a command argument before the application of non-bijective power operators.</p>