The Conditional Logical Framework LFK is a variant of the Harper-Honsell-Plotkin’s Edinburgh Logical Framemork LF. It features a generalized form of λ-abstraction where β-reductions fire under the condition that the argument satisfies a logical predicate. The key idea is that the type system memorizes under what conditions and where reductions have yet to fire. Different notions of β-reductions corresponding to different predicates can be combined in LFK . The framework LFK subsumes, by simple instantiation, LF (in fact, it is also a subsystem of LF!), as well as a large class of new generalized conditional λ-calculi. These are appropriate to deal smoothly with the side-conditions of both Hilbert and Natural Deduction presentations of Modal Logics. We investigate and characterize the metatheoretical properties of the calculus underpinning LFK, such as subject reduction, confluence, strong normalization.

A Conditional Logical Framework

HONSELL, Furio;LENISA, Marina;SCAGNETTO, Ivan
2008

Abstract

The Conditional Logical Framework LFK is a variant of the Harper-Honsell-Plotkin’s Edinburgh Logical Framemork LF. It features a generalized form of λ-abstraction where β-reductions fire under the condition that the argument satisfies a logical predicate. The key idea is that the type system memorizes under what conditions and where reductions have yet to fire. Different notions of β-reductions corresponding to different predicates can be combined in LFK . The framework LFK subsumes, by simple instantiation, LF (in fact, it is also a subsystem of LF!), as well as a large class of new generalized conditional λ-calculi. These are appropriate to deal smoothly with the side-conditions of both Hilbert and Natural Deduction presentations of Modal Logics. We investigate and characterize the metatheoretical properties of the calculus underpinning LFK, such as subject reduction, confluence, strong normalization.
9783540894384
File in questo prodotto:
File Dimensione Formato  
paper_52.pdf

non disponibili

Tipologia: Documento in Pre-print
Licenza: Non pubblico
Dimensione 222.3 kB
Formato Adobe PDF
222.3 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11390/882142
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 4
social impact