Contractions of noncontractive consequence relations

Review of Symbolic Logic 8 (3):506-528 (2015)
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Abstract

Some theorists have developed formal approaches to truth that depend on counterexamples to the structural rules of contraction. Here, we study such approaches, with an eye to helping them respond to a certain kind of objection. We define a contractive relative of each noncontractive relation, for use in responding to the objection in question, and we explore one example: the contractive relative of multiplicative-additive affine logic with transparent truth, or MAALT.

Author Profiles

David Ripley
Monash University
Rohan French
University of California, Davis

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