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Linear logic - Wikipedia Linear logic is a substructural logic proposed by French logician Jean-Yves Girard as a refinement of classical and intuitionistic logic, joining the dualities of the former with many of the constructive properties of the latter [1]
Linear Logic - Stanford Encyclopedia of Philosophy Linear logic is a refinement of classical and intuitionistic logic Instead of emphasizing truth, as in classical logic, or proof, as in intuitionistic logic, linear logic emphasizes the role of formulas as resources
linear logic in nLab - ncatlab. org Linear logic is a substructural logic in which the contraction rule and the weakening rule are omitted, or at least have their applicability restricted
Lecture Notes on Linear Logic - CMU School of Computer Science Linear logic has been described as a logic of state or a resource-aware logic Formally, it arises from complementing the usual notion of logical assump-tion with so-called linear assumptions or linear hypotheses
Linear Logic - University of Pennsylvania Linear logic is a generalization of “ordinary” logic in such a way that it becomes “resource conscious” Key idea: a resource is a “hypothesis” that can be used only once (hence it is used up) Weakening and Contraction rules of ordinary propositional logic
Linear Logic: A Deep Dive into its Principles At its core, Linear Logic is concerned with the notion of resources and how they are consumed and managed within a logical framework Linear Logic emerged as a response to the limitations of classical and intuitionistic logics in handling resources and state changes
CS 428 528 Lecture 17: Linear Logic - Yale University The approach of linear types provides a partial remedy, delineating data into resources to be used but never copied or discarded, and unconstrained values Bounded Linear Logic provides a more ne-grained approach, quantifying non-linear use via an indexed-family of modalities
Linear Logic (Stanford Encyclopedia of Philosophy Spring 2019 Edition) Linear logic is a refinement of classical and intuitionistic logic Instead of emphasizing truth, as in classical logic, or proof, as in intuitionistic logic, linear logic emphasizes the role of formulas as resources
Par Part 2: Linear Logic - Ryan Brewer Linear logic is a beautiful logical system taking advantage of the mechanisms of the sequent calculus In this post we explore the various meanings of linear logic, and dig deep into the reasoning behind its peculiar development
The Ultimate Guide to Linear Logic - numberanalytics. com The key features of Linear Logic include its use of linear implication, rejection of the structural rules of weakening and contraction, and its treatment of propositions as resources