Undecidability of Multiplicative Subexponential Logic

Kaustuv Chaudhuri

doi:10.4204/eptcs.176.1

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arXiv · 1502.04769

Undecidability of Multiplicative Subexponential Logic

Kaustuv Chaudhuri

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Abstract

Subexponential logic is a variant of linear logic with a family of exponential connectives--called subexponentials--that are indexed and arranged in a pre-order. Each subexponential has or lacks associated structural properties of weakening and contraction. We show that classical propositional multiplicative linear logic extended with one unrestricted and two incomparable linear subexponentials can encode the halting problem for two register Minsky machines, and is hence undecidable.

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Kaustuv Chaudhuri. 2015-02-17. Undecidability of Multiplicative Subexponential Logic. https://doi.org/10.4204/eptcs.176.1

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