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...

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During the past three years we have been integrating mechanized theorem proving into a traditional introductory course on formal methods. We explain our goals for adding mechanized provers to the course, and illustrate how we have integrated the provers into our syllabus to meet those goals. We also document some of the teaching materials we have developed for the course to date, and what our e...

During the past three years we have been integrating mechanized theorem proving into a traditional introductory course on formal methods. We explain our goals for adding mechanized provers to the course, and illustrate how we have integrated the provers into our syllabus to meet those goals. We also document some of the teaching materials we have developed for the course to date, and what our e...

This paper describes optimization of the Takagi-Sugeno fuzzy model. To prove the existence of optimal control, we apply compactness of a set of membership functions in L space and continuity of approximate reasoning and show the existence of a pair of membership functions which minimize the quadratic performance function.

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 ...

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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...

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