Skip to main content
    • Aa
    • Aa

Multi-focused cut elimination


We investigate cut elimination in multi-focused sequent calculi and the impact on the cut elimination proof of design choices in such calculi. The particular design we advocate is illustrated by a multi-focused calculus for full linear logic using an explicitly polarised syntax and incremental focus handling, for which we provide a syntactic cut elimination procedure. We discuss the effect of cut elimination on the structure of proofs, leading to a conceptually simple proof exploiting the strong structure of multi-focused proofs.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

D. Baelde (2012). Least and greatest fixed points in linear logic. ACM Transactions on Computational Logic 13 (1) 2.

K. Chaudhuri (2008). Focusing strategies in the sequent calculus of synthetic connectives. In: I. Cervesato , H. Veith and A. Voronkov (eds.) Logic for Programming, Artificial Intelligence and Reasoning, Lecture Notes in Computer Science, vol. 5330, 467481. Available at

K. Chaudhuri , F. Pfenning and G. Price (2008v). A logical characterization of forward and backward chaining in the inverse method. Journal of Automated Reasoning 40 (2–3) 133177.

G. Gentzen (1934). Untersuchungen über das logische Schließen, I. Mathematische Zeitschrift 39 176210. Available at

S. Guerrini , S. Martini and A. Masini (2001). Proof nets, garbage, and computations. Theoretical Computer Science 253 (2) 185237.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Structures in Computer Science
  • ISSN: 0960-1295
  • EISSN: 1469-8072
  • URL: /core/journals/mathematical-structures-in-computer-science
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 8 *
Loading metrics...

Abstract views

Total abstract views: 134 *
Loading metrics...

* Views captured on Cambridge Core between 2nd March 2017 - 24th September 2017. This data will be updated every 24 hours.