A General Proof Method for First-Order Modal Logic

Jackson, Peter; Reichgelt, Han

A General Proof Method for First-Order Modal Logic

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Proceedings of the Tenth International Joint Conference on Artificial Intelligence. Reasoning. Pages 942-943.

Abstract

We present a general sequent-based proof method for first-order modal logics in which the Barcan formula holds. The most important feature of our system is the fact that it has identical inference rules for every modal logic; different modal logics can be obtained by changing the conditions under which two formulas are allowed to resolve against each other . It is argued that the proof method is very natural because these conditions correspond to the conditions on the accessibility relation in Kripke semantics.

Peter Jackson, and Han Reichgelt. 1987. A General Proof Method for First-Order Modal Logic. In Proceedings of the Tenth International Joint Conference on Artificial Intelligence, IJCAI-87. IJCAI, 942–943. https://ijcai.org/proceedings/1987/194

@inproceedings{ijcai1987p194,
  title     = {A General Proof Method for First-Order Modal Logic},
  author    = {Jackson, Peter and Reichgelt, Han},
  booktitle = {Proceedings of the Tenth International Joint Conference on
               Artificial Intelligence, {IJCAI-87}},
  publisher = {International Joint Conferences on Artificial Intelligence},
  editor    = {John McDermott},
  pages     = {942--943},
  year      = {1987},
  note      = {Reasoning},
  url       = {https://ijcai.org/proceedings/1987/194},
}

TY  - CPAPER
TI  - A General Proof Method for First-Order Modal Logic
AU  - Jackson, Peter
AU  - Reichgelt, Han
T2  - Proceedings of the Tenth International Joint Conference on Artificial Intelligence, IJCAI-87
PB  - International Joint Conferences on Artificial Intelligence
PY  - 1987
SP  - 942
EP  - 943
UR  - https://ijcai.org/proceedings/1987/194
ER  -