A computational engine applied to different representations of the same data can produce different discrete outcomes, with some representations preserving the result and others changing it entirely. A decision-valued map records which representations preserve the outcome and which change it, associating each member of a declared representation family with the discrete result it produces. This paper formalizes decision-valued maps and describes DecisionDB, an infrastructure that logs, replays and audits these relationships using identifiers computed from content and artifacts stored in write-once form. Deterministic replay recovers each recorded decision identifier exactly from stored artifacts, with all three identifying fields matching their persisted values. The contribution partitions representation space into persistence regions and boundaries, and treats decision reuse as a mechanically checkable condition.

翻译：应用于同一数据不同表示形式的计算引擎可能产生不同的离散结果，某些表示形式会保持结果不变，而另一些则会完全改变结果。决策值映射记录了哪些表示形式保持结果、哪些改变结果，将声明表示族中的每个成员与其产生的离散结果相关联。本文形式化定义了决策值映射，并描述了DecisionDB——一种通过基于内容计算标识符并将构件以一次写入形式存储，来记录、重放和审计这些关系的基础设施。确定性重放能够从存储构件中精确恢复每个已记录的决策标识符，确保所有三个标识字段均与其持久化值匹配。本研究的贡献在于将表示空间划分为持久化区域与边界，并将决策复用视为可机械验证的条件。