The LambdaMu-calculus


Title: The LambdaMu-calculus
Authors: Cristina Matache (cris /dot/ matache /at/ gmail /dot/ com), Victor B. F. Gomes (victorborgesfg /at/ gmail /dot/ com) and Dominic P. Mulligan (dominic /dot/ p /dot/ mulligan)
Submission date: 2017-08-16
Abstract: The propositions-as-types correspondence is ordinarily presented as linking the metatheory of typed λ-calculi and the proof theory of intuitionistic logic. Griffin observed that this correspondence could be extended to classical logic through the use of control operators. This observation set off a flurry of further research, leading to the development of Parigots λμ-calculus. In this work, we formalise λμ- calculus in Isabelle/HOL and prove several metatheoretical properties such as type preservation and progress.
  author  = {Cristina Matache and Victor B. F. Gomes and Dominic P. Mulligan},
  title   = {The LambdaMu-calculus},
  journal = {Archive of Formal Proofs},
  month   = aug,
  year    = 2017,
  note    = {\url{},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.