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Author: Norihiro Kamide

Affiliation: Teikyo University, Japan

ISBN: 978-989-758-074-1

Keyword(s): Linear-time Temporal Logic, Paraconsistent Logic, Sequent Calculus, Completeness Theorem, Cutelimination Theorem.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Knowledge Representation and Reasoning ; Symbolic Systems ; Uncertainty in AI

Abstract: Inconsistency-tolerant temporal reasoning with sequential (ordered or hierarchical) information is of gaining increasing importance in the areas of computer science applications such as medical informatics. A logical system for representing such reasoning is required for obtaining a theoretical basis for such applications. In this paper, a new logic called a paraconsistent sequential linear-time temporal logic (PSLTL) is introduced extending the standard linear-time temporal logic (LTL). PSLTL can appropriately represent inconsistency-tolerant temporal reasoning with sequential information. The cut-elimination, complexity and completeness theorems for PSLTL are proved as the main results of this paper.

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Paper citation in several formats:
Kamide, N. (2015). Inconsistency and Sequentiality in LTL.In Proceedings of the International Conference on Agents and Artificial Intelligence - Volume 1: ICAART, ISBN 978-989-758-074-1, pages 46-54. DOI: 10.5220/0005180800460054

@conference{icaart15,
author={Norihiro Kamide.},
title={Inconsistency and Sequentiality in LTL},
booktitle={Proceedings of the International Conference on Agents and Artificial Intelligence - Volume 1: ICAART,},
year={2015},
pages={46-54},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005180800460054},
isbn={978-989-758-074-1},
}

TY - CONF

JO - Proceedings of the International Conference on Agents and Artificial Intelligence - Volume 1: ICAART,
TI - Inconsistency and Sequentiality in LTL
SN - 978-989-758-074-1
AU - Kamide, N.
PY - 2015
SP - 46
EP - 54
DO - 10.5220/0005180800460054

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