Encoding many-valued logic in $\lambda$-calculus

We will extend the well-known Church encoding of Boolean logic into $\lambda$-calculus to an encoding of McCarthy's $3$-valued logic into a suitable infinitary extension of $\lambda$-calculus that identifies all unsolvables by $\bot$, where $\bot$ is a fresh constant. This encoding refines to $...

Full description

Bibliographic Details
Main Author: Fer-Jan de Vries
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2021-06-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/4900/pdf