Work

Grokking the Sequent Calculus (Functional Pearl)

Year: 2024

Type: article

Abstract: The sequent calculus is a proof system which was designed as a more symmetric alternative to natural deduction. The λμμ˜-calculus is a term assignment system for the sequent calculus and a great foundation for compiler intermediate languages due to its first-class representation of evaluation contexts. Unfortunately, only experts of the sequent calculus can appreciate its beauty. To remedy this, we present the first introduction to the λμμ˜-calculus which is not directed at type theorists or logicians but at compiler hackers and programming-language enthusiasts. We do this by writing a compiler from a small but interesting surface language to the λμμ˜-calculus as a compiler intermediate language.

Source: Proceedings of the ACM on Programming Languages

DOI: 10.1145/3674639

Authors: David Binder, Marco Tzschentke, Marius Müller, Klaus Ostermann

Institution: University of Tübingen

Language: English

Topic: Logic, programming, and type systems

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4401596976

FWCI: 0.295

Cites: 40

Cited by: 2

Related to: 10