We describe here a formal proof in the Coq system of the structure theorem for subresultants, which allows to prove formally the correctness of our implementation of the subresultants algorithm. Up to our knowledge it is the first mechanized proof of this result.

in this paper, a mechanized system for self-assessment based on process-oriented approach of iso 9004:2000 has been developed. to design of this mechanized system, the expert system has been used as in providing the assessment and scoring questions the experts’ knowledge, head auditors of quality management system, has been used and this knowledge has been saved in the access software database....

Cucurbit[6]uril-based reversible bistable [2]pseudorotaxanes were designed, synthesized and installed on the surface of mesoporous silica nanoparticles as supramolecular nanovalves. The assembled mechanized silica nanoparticles realize the multistage pH-controlled release of benzotriazole and the potential for reutilization.

Roadheaders are one of the most popular mechanized excavators used in mining and civil underground construction. These machines are primarily used in soft to medium hard rocks. This paper reviews the parameters associated with the application and operation of roadheaders and presents a method for estimating cutting performance.

Speciication languages are best used in environments that provide eeective theorem proving. Having such support available, it is feasible to contemplate forms of typechecking that can use the services of a theorem prover. This allows interesting extensions to the type systems provided for speciication languages. I describe one such extension called \predicate subtyping" and illustrate its utili...

We show that an analogue of the domain-theoretic least fixpoint operator can be defined in a purely set-theoretic framework. It can be formalized in classical higher order logic, serving as a solid foundation for proving termination of (possibly nested) recursive programs in a variety of mechanized proof systems.

We present some of the experiments we have performed to best test our design for a library for MathScheme, the mechanized mathematics software system we are building. We wish for our library design to use and reflect, as much as possible, the mathematical structure present in the objects which populate the library.

Some History • Earliest methods were manual – throwing dice, dealing cards, drawing balls from an urn • Mechanized devices in early 1900’s • Later, methods based on electric circuits • Many other schemes based on phone books, π etc. • Advent of computing led to interest in numerical and arithmetic methods – such methods generate numbers sequentially and are easily programmed – the most commonly...

I evaluated homogeneous enzyme immunoassay (EMIT) of serum thyroxine with the Gilford 3500 analyzer. The samples are pretreated before quantitation on the Gilford 3500; the procedure thereafter is entirely mechanized. Forty-four samples may be analyzed per run. Precision and accuracy are good, and results correlate well with those by radioimmunoassay.