Homology of proof-nets (Q1330310)
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scientific article; zbMATH DE number 606914
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homology of proof-nets |
scientific article; zbMATH DE number 606914 |
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Homology of proof-nets (English)
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20 September 1994
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This paper defines homology groups for paired graphs, i.e. abstract proof-structures in multiplicative linear logic. It is shown that these groups characterize proof-nets among arbitrary graphs, thus providing a new correctness criterion which is decidable by means of a standard polynomial algorithm. This homology also bears information on sequentialization. A geometrical interpretation of the linear connectives is also given.
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geometrical interpretation of linear connectives
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homology groups
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paired-graphs
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abstract proof-structures
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multiplicative linear logic
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proof-nets
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correctness
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sequentialization
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