Title
Computation in focused intuitionistic logic
Abstract
We investigate the control of evaluation strategies in a variant of the Λ-calculus derived through the Curry-Howard correspondence from LJF, a sequent calculus for intuitionistic logic implementing the focusing technique. The proof theory of focused intuitionistic logic yields a single calculus in which a number of known Λ-calculi appear as subsystems obtained by restricting types to a certain fragment of LJF. In particular, standard Λ-calculi as well as the call-by-push-value calculus are analysed using this framework, and we relate cut elimination for LJF to a new abstract machine subsuming well-known machines for these different strategies.
Year
DOI
Venue
2015
10.1145/2790449.2790528
PPDP
Keywords
Field
DocType
Intuitionistic Logic, Curry-Howard, Lambda-calculus, Focusing, Polarities, Evaluation Strategies, Abstract Machines
Intuitionistic logic,Computer science,Natural deduction,Proof calculus,Minimal logic,Algorithm,Theoretical computer science,Many-valued logic,Cut-elimination theorem,Dependent type,Calculus,Curry–Howard correspondence
Conference
Citations 
PageRank 
References 
1
0.36
23
Authors
3
Name
Order
Citations
PageRank
Taus Brock-Nannestad1154.10
Nicolas Guenot211.71
Daniel Gustafsson310.36