Linear Additives

نویسندگان

چکیده

We introduce LAM, a subsystem of IMALL2 with restricted additive rules able to manage duplication linearly, called linear rules. LAM is presented as the type assignment system for calculus endowed copy constructors, which deal substitution in fashion. As opposed standard rules, do not affect complexity term reduction: typable terms enjoy strong normalization. Moreover, mildly weakened version cut-elimination this proven takes cubic number steps. Finally, we define sound translation from proofs into lambda IMLL2, and study its complexity.

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ژورنال

عنوان ژورنال: Electronic proceedings in theoretical computer science

سال: 2021

ISSN: ['2075-2180']

DOI: https://doi.org/10.4204/eptcs.353.4