Undecidable First-Order Theories of Affine Geometries
Tarski initiated a logic-based approach to formal geometry that studies first-order structures with a ternary betweenness relation \beta, and a quaternary equidistance relation \equiv. Tarski established, inter alia, that the first-order (FO) theory of (R^2,\beta,\equiv) is decidable. Aiello and van...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Logical Methods in Computer Science e.V.
2013-12-01
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Series: | Logical Methods in Computer Science |
Subjects: | |
Online Access: | https://lmcs.episciences.org/728/pdf |