Towards automating duality

C. Brink; D. M. Gabbay; H. J. Ohlbach

doi:10.1016/0898-1221(94)00217-9

Towards automating duality

C. Brink, D. M. Gabbay, H. J. Ohlbach

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Dualities between different theories occur frequently in mathematics and logic-between syntax and semantics of a logic, between structures and power structures, between relations and relational algebras, to name just a few. In this paper, we show for the case of structures and power structures how corresponding properties of the two related structures can be computed fully automatically by means of quantifier elimination algorithms and predicate logic theorem provers. We illustrate the method with some examples that were computed with the Otter theorem prover.

Original language	English
Pages (from-to)	73-90
Number of pages	18
Journal	Computers and Mathematics with Applications
Volume	29
Issue number	2
DOIs	https://doi.org/10.1016/0898-1221(94)00217-9
State	Published - Jan 1995
Externally published	Yes

Keywords

Automated reasoning
Duality
Power structures
Quantifier elimination

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10.1016/0898-1221(94)00217-9

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KW - Automated reasoning

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KW - Power structures

KW - Quantifier elimination

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Towards automating duality

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Keywords

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