Non-commutative logic I: the multiplicative fragment

Annals of Pure and Applied Logic 101 (1):29-64 (1999)
  Copy   BIBTEX

Abstract

We introduce proof nets and sequent calculus for the multiplicative fragment of non-commutative logic, which is an extension of both linear logic and cyclic linear logic. The two main technical novelties are a third switching position for the non-commutative disjunction, and the structure of order variety

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,846

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Non-commutative logic I: the multiplicative fragment.P. Ruet & M. Abrusci - 1999 - Annals of Pure and Applied Logic 101 (1):29-64.
The shuffle Hopf algebra and noncommutative full completeness.R. F. Blute & P. J. Scott - 1998 - Journal of Symbolic Logic 63 (4):1413-1436.
A new correctness criterion for cyclic proof nets.V. Michele Abrusci & Elena Maringelli - 1998 - Journal of Logic, Language and Information 7 (4):449-459.
Syllogisms in Rudimentary Linear Logic, Diagrammatically.Ruggero Pagnan - 2013 - Journal of Logic, Language and Information 22 (1):71-113.
Non‐commutative intuitionistic linear logic.V. Michele Abrusci - 1990 - Mathematical Logic Quarterly 36 (4):297-318.
Interpolation in fragments of classical linear logic.Dirk Roorda - 1994 - Journal of Symbolic Logic 59 (2):419-444.
The conjoinability relation in Lambek calculus and linear logic.Mati Pentus - 1994 - Journal of Logic, Language and Information 3 (2):121-140.
Natural deduction systems for some non-commutative logics.Norihiro Kamide & Motohiko Mouri - 2007 - Logic and Logical Philosophy 16 (2-3):105-146.

Analytics

Added to PP
2014-01-16

Downloads
95 (#181,194)

6 months
19 (#135,510)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

Linear logic.Roberto Di Cosmo & Dale Miller - unknown - Stanford Encyclopedia of Philosophy.

View all 15 citations / Add more citations

References found in this work

No references found.

Add more references