Proof Pearl: Looping Around the Orbit.

Authors :: Hutchison, David
Kanade, Takeo
Kittler, Josef
Kleinberg, Jon M.
Mattern, Friedemann
Mitchell, John C.
Naor, Moni
Nierstrasz, Oscar
Pandu Rangan, C.
Steffen, Bernhard
Sudan, Madhu
Terzopoulos, Demetri
Tygar, Doug
Vardi, Moshe Y.
Weikum, Gerhard
Schneider, Klaus
Brandt, Jens
Obua, Steven
Source :: Theorem Proving in Higher Order Logics (9783540745907); 2007, p223-231, 9p
Publication Year :: 2007
Abstract: We reexamine the While combinator of higher-order logic (HOL) and introduce the For combinator. We argue that both combinators should be part of the toolbox of any HOL practitioner, not only because they make efficient computations within HOL possible, but also because they facilitate elegant inductive reasoning about loops. We present two examples that support this argument. [ABSTRACT FROM AUTHOR]