I would like to announce the availability of the following two technical reports regarding cut elimination in intuitionistic, classical, and linear logic. They are summarized in: Structural Cut Elimination (extended abstract) Frank Pfenning December 1994 DVI file: file://ftp.cs.cmu.edu/afs/cs/user/fp/public/papers/cutstruct94.dvi.Z Implementation: file://ftp.cs.cmu.edu /afs/cs/user/fp/public/elf-papers/cutstruct94.tar.Z All papers are also accessible through my home page on the world-wide web. - Frank ---------------------------------------------------------------------- Frank Pfenning Telephone: +1 412 268-6343 Department of Computer Science FAX: +1 412 268-5576 Carnegie Mellon University InterNet: fp@cs.cmu.edu Pittsburgh, PA 15213-3891, U.S.A. Web: http://www.cs.cmu.edu:8001/afs/cs/user/fp/www/homepage.html ---------------------------------------------------------------------- Frank Pfenning. Structural cut elimination in linear logic. Technical Report CMU-CS-94-222, Department of Computer Science, Carnegie Mellon University, December 1994. ABSTRACT: We present a new proof of cut elimination for linear logic which proceeds by three nested structural inductions, avoiding the explicit use of multi-sets and termination measures on sequent derivations. The computational content of this proof is a non-deterministic algorithm for cut elimination which is amenable to an elegant implementation in Elf. We show this implementation in detail. PostScript: file://ftp.cs.cmu.edu/afs/cs/user/fp/public/papers/cutlin94.ps.Z Implementation: file://ftp.cs.cmu.edu/afs/cs/user/fp/public/elf-papers/cutlin94.tar.Z -------------------------------------------------- Frank Pfenning. A structural proof of cut elimination and its representation in a logical framework. Technical Report CMU-CS-94-218, Department of Computer Science, Carnegie Mellon University, November 1994. ABSTRACT: We present new proofs of cut elimination for intuitionistic and classical sequent calculi. In both cases the proofs proceed by three nested structural inductions, avoiding the explicit use of multi-sets and termination measures on sequent derivations. This makes them amenable to elegant and concise representations in LF, which are given in full detail. PostScript: file://ftp.cs.cmu.edu/afs/cs/user/fp/public/papers/cutelim94.ps.Z Implementation: file://ftp.cs.cmu.edu/afs/cs/user/fp/public/elf-papers/cutelim94.tar.Z