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From Axioms to Analytic Rules in Nonclassical Logics
June 24-June 27
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/LICS.2008.392008 23rd Annual IEEE Symposium on Lo ...
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Agata Ciabattoni, Nikolaos Galatos, Kazushige Terui, "From Axioms to Analytic Rules in Nonclassical Logics," Logic in Computer Science, Symposium on, pp. 229-240, 2008 23rd Annual IEEE Symposium on Logic in Computer Science, 2008.
 
 
BibTex
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@article{ 10.1109/LICS.2008.39,
author = {Agata Ciabattoni and Nikolaos Galatos and Kazushige Terui},
title = {From Axioms to Analytic Rules in Nonclassical Logics},
journal ={Logic in Computer Science, Symposium on},
volume = {0},
year = {2008},
issn = {1043-6871},
pages = {229-240},
doi = {http://doi.ieeecomputersociety.org/10.1109/LICS.2008.39},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Logic in Computer Science, Symposium on
TI - From Axioms to Analytic Rules in Nonclassical Logics
SN - 1043-6871
SP229
EP240
A1 - Agata Ciabattoni,
A1 - Nikolaos Galatos,
A1 - Kazushige Terui,
PY - 2008
KW - nonclassical logics
KW - sequent calculi
KW - hypersequent calculi
KW - semantic cut-elimination
VL - 0
JA - Logic in Computer Science, Symposium on
ER -
 
We introduce a systematic procedure to transform large classesof (Hilbert) axioms into equivalent inference rules in sequent and hypersequent calculi. This allows for the automated generation of analytic calculi for a wide range of propositional nonclassical logics including intermediate, fuzzy and substructural logics. Our work encompasses many existing results, allows for the definition of new calculi and contains a uniform semantic proof of cut-elimination for hypersequent calculi.
Index Terms:
nonclassical logics, sequent calculi, hypersequent calculi, semantic cut-elimination
Citation:
Agata Ciabattoni, Nikolaos Galatos, Kazushige Terui, "From Axioms to Analytic Rules in Nonclassical Logics," lics, pp.229-240, 2008 23rd Annual IEEE Symposium on Logic in Computer Science, 2008
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