Galatos, Nikolaos; Metcalfe, George (2016). Proof theory for lattice-ordered groups. Annals of pure and applied logic, 167(8), pp. 707-724. Elsevier 10.1016/j.apal.2016.04.004
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Proof-theoretic methods are developed and exploited to establish properties of the variety of lattice-ordered groups. In particular, a hypersequent calculus with a cut rule is used to provide an alternative syntactic proof of the generation of the variety by the lattice-ordered group of automorphisms of the real number chain. Completeness is also established for an analytic (cut-free) hypersequent calculus using cut elimination and it is proved that the equational theory of the variety is co-NP complete.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Metcalfe, George |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0168-0072 |
Publisher: |
Elsevier |
Language: |
English |
Submitter: |
George Metcalfe |
Date Deposited: |
08 Jul 2016 11:12 |
Last Modified: |
05 Dec 2022 14:56 |
Publisher DOI: |
10.1016/j.apal.2016.04.004 |
BORIS DOI: |
10.7892/boris.82312 |
URI: |
https://boris.unibe.ch/id/eprint/82312 |
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