CLDS for propositional intuitionistic logic

Krysia Broda; Dov Gabbay

doi:10.1007/3-540-48754-9_10

CLDS for propositional intuitionistic logic

Krysia Broda
, Dov Gabbay

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The compilation approach for Labelled Deductive Systems (CLDS) is used to obtain a decidable theorem prover for propositional intuitionistic logic. Previous applications of the CLDS method were based around a natural deduction system, together with the notion of a theory as a structure of points, called a configuration, and a semantic approach using a translation technique based on first-order logic. In this paper the same semantic method is used, but the proof system is instead a first order theorem prover using techniques drawn from the Davis Putnam and Hyper-resolution procedures. This is shown to be sound and complete with respect to the semantics. The resulting system is a generalisation of intuitionistic logic in a sense that is explained and it is briefly compared with other first order translation techniques.

Original language	English
Title of host publication	Automated Reasoning with Analytic Tableaux and Related Methods - International Conference, TABLEAUX 1999, Proceedings
Editors	Neil V. Murray
Publisher	Springer Verlag
Pages	66-82
Number of pages	17
ISBN (Print)	3540660860, 9783540660866
DOIs	https://doi.org/10.1007/3-540-48754-9_10
State	Published - 1999
Externally published	Yes
Event	International Conference on Analytic Tableaux and Related Methods, TABLEAUX 1999 - Saratoga Springs, United States Duration: 7 Jun 1999 → 11 Jun 1999

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	1617
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	International Conference on Analytic Tableaux and Related Methods, TABLEAUX 1999
Country/Territory	United States
City	Saratoga Springs
Period	7/06/99 → 11/06/99

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1999.

Access to Document

10.1007/3-540-48754-9_10

Cite this

Broda, K., & Gabbay, D. (1999). CLDS for propositional intuitionistic logic. In N. V. Murray (Ed.), Automated Reasoning with Analytic Tableaux and Related Methods - International Conference, TABLEAUX 1999, Proceedings (pp. 66-82). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1617). Springer Verlag. https://doi.org/10.1007/3-540-48754-9_10

Broda, Krysia ; Gabbay, Dov. / CLDS for propositional intuitionistic logic. Automated Reasoning with Analytic Tableaux and Related Methods - International Conference, TABLEAUX 1999, Proceedings. editor / Neil V. Murray. Springer Verlag, 1999. pp. 66-82 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Broda, K & Gabbay, D 1999, CLDS for propositional intuitionistic logic. in NV Murray (ed.), Automated Reasoning with Analytic Tableaux and Related Methods - International Conference, TABLEAUX 1999, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1617, Springer Verlag, pp. 66-82, International Conference on Analytic Tableaux and Related Methods, TABLEAUX 1999, Saratoga Springs, United States, 7/06/99. https://doi.org/10.1007/3-540-48754-9_10

CLDS for propositional intuitionistic logic. / Broda, Krysia; Gabbay, Dov.
Automated Reasoning with Analytic Tableaux and Related Methods - International Conference, TABLEAUX 1999, Proceedings. ed. / Neil V. Murray. Springer Verlag, 1999. p. 66-82 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1617).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Broda K, Gabbay D. CLDS for propositional intuitionistic logic. In Murray NV, editor, Automated Reasoning with Analytic Tableaux and Related Methods - International Conference, TABLEAUX 1999, Proceedings. Springer Verlag. 1999. p. 66-82. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-48754-9_10

CLDS for propositional intuitionistic logic

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