The LambdaMu-calculus

 Title: The LambdaMu-calculus Authors: Cristina Matache (cris /dot/ matache /at/ gmail /dot/ com), Victor B. F. Gomes (vb358 /at/ cl /dot/ cam /dot/ ac /dot/ uk) and Dominic P. Mulligan (Dominic /dot/ Mulligan /at/ arm /dot/ com) 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. BibTeX: @article{LambdaMu-AFP, 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{http://isa-afp.org/entries/LambdaMu.html}, Formal proof development}, ISSN = {2150-914x}, } License: BSD License