Abstract. We compare the styles of several proof assistants for mathematics. We present Pythagoras’ proof of the irrationality of √ 2 both informal and formalized in (1) HOL, (...
We present a pair of reasoning principles, definition and proof by rigid induction, which can be seen as proper generalizations of lazy-datatype induction to monadic effects other...
One of the obstacles in automatic program proving is to obtain suitable loop invariants. The invariant of a loop is a weakened form of its postcondition (the loop's goal, als...
A well-known result due to J. T. Stafford asserts that a stably free left module M over the Weyl algebras D = An(k) or Bn(k) − where k is a field of characteristic 0 − with ...
—This paper discusses public-key authenticated key agreement protocols. First, we critically analyze several authenticated key agreement protocols and uncover various theoretical...