*To*: Makarius <makarius at sketis.net>*Subject*: Re: [isabelle] Rational numbers in Isabelle/ML*From*: Manuel Eberl <eberlm at in.tum.de>*Date*: Sun, 3 Apr 2016 00:27:18 +0200*Cc*: cl-isabelle-users at lists.cam.ac.uk*In-reply-to*: <alpine.LNX.2.00.1604022342050.55508@lxbroy10.informatik.tu-muenchen.de>*References*: <56FEEB91.9060000@in.tum.de> <alpine.LNX.2.00.1604012351350.35180@lxbroy10.informatik.tu-muenchen.de> <56FFBBEF.1060602@in.tum.de> <alpine.LNX.2.00.1604022342050.55508@lxbroy10.informatik.tu-muenchen.de>*User-agent*: Mozilla/5.0 (X11; Linux x86_64; rv:38.0) Gecko/20100101 Thunderbird/38.7.1

* Is MyRat based on the existing Rat, or an independent development?

* What is the relation of Integer.lcm/gcd, PolyML.IntInf.lcm/gcd versusMyRat.gcd? Could it be all based on PolyML.IntInf.lcm/gcd (takingcareabout the proper sign)? PolyML.IntInf.lcm/gcd might lead to much better performance, because it uses GMP operations directly.

* Rat.inv and MyRat.inv look odd to me, but for different reasons. Are these actually correct?

How about a formally specified and verified implementation? It shouldbe mostly trivial with all the algebraic tools in Isabelle/HOL.

Manuel

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