Modeling linear logic with implicit functions

DOI10.1016/j.apal.2013.07.018zbMath1345.03113OpenAlexW2070314316MaRDI QIDQ392296

Sergey Slavnov

Publication date: 13 January 2014

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2013.07.018

zbMATH Keywords

linear logicdenotational semantics

Mathematics Subject Classification ID

Categorical logic, topoi (03G30) Proof-theoretic aspects of linear logic and other substructural logics (03F52) Implicit function theorems; global Newton methods on manifolds (58C15) Differential spaces (58A40)

Cites Work

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• Linear logic
• Coherent phase spaces. Semiclassical semantics
• Differential interaction nets
• Normal functors, power series and \(\lambda\)-calculus
• The structure of multiplicatives
• Glueing and orthogonality for models of linear logic
• The differential lambda-calculus
• Linear Läuchli semantics
• Differential categories
• Games and full completeness for multiplicative linear logic

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