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Journal of Logic and Computation 2005 15(1):3-20; doi:10.1093/logcom/exh029
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Vol. 15 No. 1, © The Author, 2005. Published by Oxford University Press. All rights reserved.

Linear Logics with Communication-merge

Norihiro Kamide

Department of Philosophy, Keio University, 2-15-45 Mita, Minatoku, Tokyo, 108-8345, Japan. E-mail: kamide{at}mtc.biglobe.ne.jp

Cut-elimination property, relevance principle, interpolation property and a new property named communication principle are proved for a number of modal intuitionistic linear logics with communication-merge rules. A concurrent-computational interpretation for these logics is obtained based on a process algebra with communication-merge.

Keywords: Linear logic, mingle, mix, communication principle, process algebra with communication-merge

Received 23 April 2002.


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