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paper available by FTP
Date: Tue, 1 Sep 92 10:14:03 -0700
To: linear@cs.stanford.edu
Constant-Only Multiplicative Linear Logic is NP-Complete
P. Lincoln and T. Winkler
This paper explores the decision problem for
multiplicative linear logic without propositions. The
fragment is shown to be NP-Complete. Reduction from
3-Partition is used to demonstrate hardness, while
the obvious "guess and check entire proof" procedure
shows that this decision problem is in NP. This result
lends evidence that the linear circuit evaluation problem
(testing validity of expressions in AND, OR, TRUE, and FALSE
in multiplicative linear logic) is intractable. This paper
is based on work by the authors and N. Shankar, as well as
earlier work by Girard and others.
% ftp ftp.csl.sri.com
Name: anonymous
Password: <<your e-mail address>>
ftp> cd pub/lincoln
ftp> binary
ftp> get comult-npc.dvi
ftp> quit