LMNtal as a hierarchical logic programming language

LMNtal (pronounced “ elemental”) is a simple language model based on hierarchical graph rewriting that uses logical variables to represent connectivity and membranes to represent hierarchy. LMNtal is an outcome of the attempt to unify constraint-based concurrency and Constraint Handling Rules (CHR),...

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Bibliographic Details
Published in:Theoretical computer science Vol. 410; no. 46; pp. 4784 - 4800
Main Author: Ueda, Kazunori
Format: Journal Article
Language:English
Published: Elsevier B.V 01.11.2009
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ISSN:0304-3975, 1879-2294
Online Access:Get full text
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Summary:LMNtal (pronounced “ elemental”) is a simple language model based on hierarchical graph rewriting that uses logical variables to represent connectivity and membranes to represent hierarchy. LMNtal is an outcome of the attempt to unify constraint-based concurrency and Constraint Handling Rules (CHR), the two notable extensions to concurrent logic programming. LMNtal is intended to be a substrate language of various computational models, especially those addressing concurrency, mobility and multiset rewriting. Although the principal objective of LMNtal was to provide a unifying computational model, it is of interest to equip the formalism with a precise logical interpretation. In this paper, we show that it is possible to give LMNtal a simple logical interpretation based on intuitionistic linear logic and a flattening technique. This enables us to call LMNtal a hierarchical, concurrent linear logic language.
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ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2009.07.043