File:Pairwise unifiable terms.gif

Original file (873 × 456 pixels, file size: 7 KB, MIME type: image/gif)

Summary

Description
English: Shows a part of the subsumption lattice, demonstrating that the terms f(a,x), f(x,x), and f(x,c), do not have a common instance other than the bottom term Ω (introduced by Reynolds to indicate non-unifiability), although each two of them are syntactically unifiable. The setting assumes that f is a binary function symbol (omitted in the picture), a and c are constants, and x and y are variables. All involved terms term have f(x,y) as a common upper bound; all its instances by variables or constants are shown, the relevant ones highlighted in red.
Date
Source Own work
Author Jochen Burghardt

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20 August 2014

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Date/TimeThumbnailDimensionsUserComment
current09:32, 9 September 2014Thumbnail for version as of 09:32, 9 September 2014873 × 456 (7 KB)Jochen BurghardtMuch simpler example; full term hierarchy can be shown for it.
20:34, 20 August 2014Thumbnail for version as of 20:34, 20 August 20141,225 × 561 (10 KB)Jochen Burghardt{{Information |Description ={{en|1=pairwise unifiable terms}} |Source ={{own}} |Author =Jochen Burghardt |Date =2014-08-20 |Permission = |other_versions = }}

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