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Base Extension Semantics

Base-Extension Semantics

Feb 07, 20261 min read

Relates Proof Theoretic Semantics.

See http://www0.cs.ucl.ac.uk/staff/D.Pym/MGS_2025_2.pdf

Generalize IMLL

For IMLL (Intuinistic Multiplicative Linear Logic)

Given as set of atoms B and and set of resources S,

\Gamma \Vdash^S_\mathcal{B} \phi $$ means that under the assumptions $\Gamma$ , the resources $S$, provides formula $\phi$ to hold where only atoms in $\mathcal{B}$ . ## See also [[Bunched Implication]]

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Backlinks

  • Intuinistic Propositional Logic
  • Proof Theoretic Semantics

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