# [isabelle] New AFP entry: Sound and Complete Sort Encodings for First-Order Logic

*To*: Isabelle Users <isabelle-users at cl.cam.ac.uk>
*Subject*: [isabelle] New AFP entry: Sound and Complete Sort Encodings for First-Order Logic
*From*: Tobias Nipkow <nipkow at in.tum.de>
*Date*: Mon, 01 Jul 2013 09:42:34 +0200
*User-agent*: Mozilla/5.0 (Macintosh; Intel Mac OS X 10.8; rv:17.0) Gecko/20130620 Thunderbird/17.0.7

Sound and Complete Sort Encodings for First-Order Logic
Jasmin Christian Blanchette and Andrei Popescu
This is a formalization of the soundness and completeness properties for various
efficient encodings of sorts in unsorted first-order logic used by Isabelle's
Sledgehammer tool.
Essentially, the encodings proceed as follows: a many-sorted problem is
decorated with (as few as possible) tags or guards that make the problem
monotonic; then sorts can be soundly erased.
The development employs a formalization of many-sorted first-order logic in
clausal form (clauses, structures and the basic properties of the satisfaction
relation), which could be of interest as the starting point for other
formalizations of first-order logic metatheory.
http://afp.sourceforge.net/entries/Sort_Encodings.shtml

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