Consider two abstract machines abc and def (described using B notation below). Both models represent the addition of two natural numbers. The second, however, introduces the limitation that, when implemented on a computer, the set of natural numbers cannot be infinite. It is felt that both of these models are needed within a development. The first for use at the abstract level when describing s...

We can adapt existing techniques for the statistical modeling of music to the modeling of the quality of musical performance, resulting in a fine-grained statistical understanding of ’hardness’ in music performance. This drives AI-assisted applications for improving skill. We present modeling results using various probabilistic models to model performance in the simplified setting of rhythm games.

Proof assistants and the programming languages that implement them need to deal with a range of linguistic expressions that involve bindings. Since most mature proof assistants do not have built-in methods to treat this aspect of syntax, they have been extended with various packages and libraries that allow them to encode such syntax using, for example, de Bruijn numerals and nominal logic feat...

Over a decade ago, the POPLmark challenge [2] suggested that the theorem proving community had tools that were close to being usable by programming language researchers to formally prove properties of their designs and implementations. The authors of the POPLmark challenge looked at existing practices and systems and urged the developers of proof assistants to make improvements to existing syst...

As many others, we too are developping a Massive Online Open Course or MOOC. This MOOC will teach recursive programming to beginners and will heavily use an already existing infrastructure for mechanical grading (Queinnec, 2010). This position paper discusses how these two components are combined in order to increase students’ involvement. Developping a MOOC is now a common activity in the Acad...

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This tutorial describes a mechanized technique for design veriication. The aim is, in the early design phases, to verify selected key properties of a partially speciied design. A supporting design language called Synchronized Transitions is used for describing designs. The design veriication is mechanized by tools, in particular, a theorem prover called the Larch Prover (lp) used for reasoning ...

SPARK 2014 is a subset of the Ada 2012 programming language that is supported by the GNAT compilation toolchain and multiple open source static analysis and verification tools. These tools can be used to verify that a SPARK 2014 program does not raise language-defined run-time exceptions and that it complies with formal specifications expressed as subprogram contracts. The results of analyses a...