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<p>We remark that forcing in fiber bundles of structures of first order languages is not a compatible semantics with the pullback (of fiber bundles). Motivated by a combination of epistemology and geometry, we describe a semantics which behaves well with respect to the pullback. This new semantics uses parallel transport in its definition and allows to introduce two different types of extensions for the formulas: vertical and horizontal extensions.</p>

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A Natural Semantics for the Pullback of Fiber Bundles of Structures

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月4日

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  • Leonardo A. Cano G.,
  • Pedro H. Zambrano

摘要

We remark that forcing in fiber bundles of structures of first order languages is not a compatible semantics with the pullback (of fiber bundles). Motivated by a combination of epistemology and geometry, we describe a semantics which behaves well with respect to the pullback. This new semantics uses parallel transport in its definition and allows to introduce two different types of extensions for the formulas: vertical and horizontal extensions.