Implicit automata in typed λ-calculi I: Aperiodicity in a non-commutative logic

We give a characterization of star-free languages in a λ-calculus with support for non-commutative affine types (in the sense of linear logic), via the algebraic characterization of the former using aperiodic monoids. When the type system is made commutative, we show that we get regular languages in...

Full description

Bibliographic Details
Main Authors: Nguyễn, LTD, Pradic, P
Format: Conference item
Language:English
Published: Schloss Dagstuhl 2020