File:Generalizations of abc.gif
Jump to navigation
Jump to search
No higher resolution available.
Generalizations_of_abc.gif (516 × 536 pixels, file size: 6 KB, MIME type: image/gif)
Captions
Captions
Add a one-line explanation of what this file represents
Summary[edit]
| Description |
English: Lattice of generalizations of the term (a*b)*c, with a, b, c constants and x, y, z variables. Multiplication operators "*" are omitted in the picture. All involved terms are linear, i.e. don't contain multiple occurrences of the same variable. To the right of each term, the set of its paths leading to a function (or constant) symbol is shown in blue; the path numbering scheme is shown in the upper left corner for the term (a*b)*c. Join and meet in this lattice, i.e. anti-unification and unification of terms, corresponds to intersection and union of their path sets, respectively. Since this correspondance is a lattice isomorphism, the shown lattice is distributive. Similarly, every sublattice of the subsumption lattice of linear terms that doesn't contain Ω is distributive. See en:Subsumption lattice for a nondistributive sublattice of linear terms including Ω. |
| Date | |
| Source | Own work |
| Author | Jochen Burghardt |
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following licenses:
|
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:01, 12 September 2014 | | 516 × 536 (6 KB) | Jochen Burghardt (talk | contribs) | added path sets |
| 17:57, 12 September 2014 |  | 546 × 584 (5 KB) | Jochen Burghardt (talk | contribs) | {{Information |Description={{en|1=Lattice of generalizations of the term (a*b)*c.}} |Source={{own}} |Date=2014-09-12 |Author=Jochen Burghardt |Permission= |other_versions= }} |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
