The goal of this paper is twofold. The first part presents a Lyapunov statement and proof of the concept of robust global practical exponential stability (RpGES) for nonlinear time varying systems. A RpGES-Lyapunov function for the overall system is exhibited. Its proof is a consequence of some results on converse Lyapunov theorems obtained by Tsinias in [19]. The second part provides sufficien...

Reductive proof-search tries to reduce a goal to tautologies. In the presence of quantifiers this becomes a complex design problem by which proof-theory shades into ‘proof-engineering’. There is no single right answer here, but there are a lot of practical problems with strong roots in theory. In this work we consider a nominal semantics for this design space. The reduction in complexity is str...

In 2008, the Ontario Long Term Care Association was awarded funding from HealthForceOntario to assist with its nursing recruitment strategy based on research it had initiated in 2007. The research goal was to understand the career motivations and perceptions of students enrolled in registered nursing (RN) and registered practical nursing (RPN) programs in Ontario to develop and test a message t...

This paper introduces the imps proof script mechanism and some practical methods for exploiting it.

the issue of the individual unity of being is among the issues in the field of theoretical mysticism which all of the muslim mystics have agreed upon. as such, some of them have attempted to base this theory on proof, among whom is mohammad reza qomshei. qomshei’s proof has been accepted by some philosophers and criticized by others, among whom is hakim jelwe who was contemporaneous with qomshe...

This paper describes a proof of the Church-Rosser theorem within the Higher Order Logic (HOL) theorem prover. This follows the proof by Tait/Martin-Lof, preserving the elegance of the classic presentation by Barendregt. We model the lambda calculus with a name-carrying syntax, as in practical languages. The proof is simpli ed by forming a quotient of the name-carrying syntax by the -equivalenc...

Background: Ramsar, a northern city in Iran, lies on the coast of the Caspian Sea. This city has areas with some of the highest levels of natural radiation measured to date. The radon concentration in some areas of Ramsar is up to 3700 Bq m–3. On the other hand, due to high level of humidity, damp-proof barriers should be used in construction of new buildings in radon prone areas of this cit...

The work of science teachers can be viewed from a variety of perspectives. In this article, teaching is seen as an activity in which teachers deliberate in the practical domain to decide on actions and goals. In the first part of the article, it is argued that, because practical reasoning is similar to scientific reasoning, a model of practical conceptual change can be developed that is analogo...

The Incredible Proof Machine is an easy and fun to use program to conduct formal proofs. It employs a novel, intuitive proof representation based on port graphs, which is akin to, but even more natural than, natural deduction. In particular, we describe a way to determine the scope of local assumptions and variables implicitly. Our practical classroom experience backs these claims.