This project complements and extends previous work that has focused on attaching formal semantics to informal graphical object-oriented modeling notations in order to automatically generate formal specifications for a number of target languages [3, 14, 18]. My research [4, 5, 6] builds upon the informal and formal integration work by investigating how commonly used automated analysis techniques...

The Bott–Thurston cocycle is a $$2$$ -cocycle on the group of orientation-preserving diffeomorphisms circle. We introduce and study formal analog cocycle. continuous $$A$$ -automorphisms algebra $$A((t))$$ Laurent series over commutative ring with values in $$A^*$$ invertible elements . prove that central extension given by equivalent to 12-fold Baer sum determinantal when $$\mathbb Q$$ -algebr...