We introduce a strategy for the verification of relational specifications based on the analysis of monotonicity of variables within formulas. By comparing with the Alloy Analyzer, we show that for a relevant class of problems this technique outperforms analysis of the same problems using SAT-solvers, while consuming a fraction of the memory SAT-solvers require.

Alloy is a formal modeling language based on first-order relational logic, with no native support for specifying reactive systems. We propose an extension of Alloy to allow the specification of temporal formulas using LTL, and show how they can be verified by bounded model checking with the Alloy Analyzer.

There are errors in the Funding section. The correct funding information is as follows: This work was supported by National Natural Science Foundation of China (NNSFC31400091) (http://www.nsfc.gov.cn), Natural Science Foundation of Jiangsu Province (BK2012202) (http://www.jstd.gov.cn/), Chinese Postdoctoral Science Foundation (2013M540518) (http://res.chinapostdoctor.org.cn/BshWeb/index.shtml),...

The development of texture in thin Cu and dilute binary Cu(Ti) and Cu(In) films has been investigated as a function of annealing history. The textures are comprised of <111>, <100> and <110> fiber in different proportions for the three films. Annealing strengthens the texture for all films. For the annealed films, alloying with Ti strengthens the <111> component, whereas alloying with In weaken...

Using synchrotron X-ray total scattering and empirical potential structure refinement modelling, we studied systematically in operando condition the disorder-to-order local atomic transition a pure Al dilute Al-0.4Sc alloy melt temperature range from 690 °C to 657 °C. In liquid state, icosahedral short-range ordered Sc-centred polyhedrons form most of them with coordination number 10–12. As is ...

Generation of supercells with a desirable size and reasonable geometry, such as basis vectors similar length are close to orthogonality, is useful for defect calculations dilute alloy calculations. Identification relations between crystals described using very different lattice parameters beneficial in crystal structure analysis. A computational algorithm, applicable any crystal, described, whi...

inspired multi-objective optimisation algorithm Jun Chena, Mahdi Mahfouf, Gaffour Sidahmed, doi:10.1016/j.engappai.2014.08.014 Highlights • We model mechanical properties of heat treated alloy steel using interpretable fuzzy models. • We demonstrate how to locate the ‘best’ processing parameters and chemical compositions. • We demonstrate how to achieve certain mechanical properties. • We demon...

This study is concerned with the prediction of particles’ velocity in a dilute turbulent gas-solidboundary layer flow using a fully Eulerian two-fluid model. The closures required for equationsdescribing the particulate phase are derived from the kinetic theory of granular flows. Gas phaseturbulence is modeled by one-equation model and solid phase turbulence by MLH theory. Resultsof one-way and...