# A sequent calculus for a semi-associative law

@article{Zeilberger2019ASC, title={A sequent calculus for a semi-associative law}, author={Noam Zeilberger}, journal={Log. Methods Comput. Sci.}, year={2019}, volume={15} }

We introduce a sequent calculus with a simple restriction of Lambek's product rules that precisely captures the classical Tamari order, i.e., the partial order on fully-bracketed words (equivalently, binary trees) induced by a semi-associative law (equivalently, right rotation). We establish a focusing property for this sequent calculus (a strengthening of cut-elimination), which yields the following coherence theorem: every valid entailment in the Tamari order has exactly one focused…

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A sequent calculus for a semi-associative

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- 2019

We introduce a sequent calculus with a simple restriction of Lambek’s product rules that precisely captures the classical Tamari order, i.e., the partial order on fullybracketed words (equivalently,…

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A sequent calculus with a simple restriction of Lambek's product rules is introduced that precisely captures the classical Tamari order, i.e., the partial order on fully-bracketed words induced by a semi-associative law.

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- 2022

Monoidal closed categories naturally model NMILL , non-commutative multiplicative intuitionistic linear logic: the monoidal unit and tensor interpret the multiplicative verum and conjunction; the…

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A Sequent Calculus for a Semi-Associative Law

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A sequent calculus with a simple restriction of Lambek's product rules is introduced that precisely captures the classical Tamari order, i.e., the partial order on fully-bracketed words induced by a semi-associative law.

A sequent calculus for the Tamari order

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A sequent calculus with a simple restriction of Lambek's product rules is introduced that precisely captures the classical Tamari order, i.e., the partial order on fully-bracketed words induced by a semi-associative law.

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