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1996•Notre Dame Journal of Formal LogicOpen access

Free Algebras Corresponding to Multiplicative Classical Linear Logic and Some of Its Extensions

Andreja Prijatelj

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Abstract

In this paper, constructions of free algebras corresponding to multiplicative classical linear logic, its affine variant, and their extensions with $n$-contraction ($n\geq 2$) are given. As an application, the cardinality problem of some one-variable linear fragments with $n$-contraction is solved.

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What this paper is about

In this paper, constructions of free algebras corresponding to multiplicative classical linear logic, its affine variant, and their extensions with $n$-contraction ($n\geq 2$) are given. As an application, the cardinality problem of some one-variable linear fragments with $n$-contraction is solved.

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Available abstract

In this paper, constructions of free algebras corresponding to multiplicative classical linear logic, its affine variant, and their extensions with $n$-contraction ($n\geq 2$) are given. As an application, the cardinality problem of some one-variable linear fragments with $n$-contraction is solved.

Key concepts: Multiplicative function, Linear logic, Mathematics, Cardinality (data modeling), Contraction (grammar), Affine transformation, Algebra over a field, Discrete mathematics

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