Normalization for the simply-typed -calculus is proven in Twelf, an implementation of the Edinburgh Logical Framework. Since due to proof-theoretical restrictions Twelf Tait'...
We formalize in the logical framework ATS/LF a proof based on Tait’s method that establishes the simply-typed lambda-calculus being strongly normalizing. In malization, we emplo...
A term terminates if all its reduction sequences are of finite length. We show four type systems that ensure termination of well-typed π-calculus processes. The systems are obtai...
The rewriting calculus, or Rho Calculus (ρCal), is a simple calculus that uniformly integrates abstraction on patterns and nondeterminism. Therefore, it fully integrates rewriting...
The last few years have seen the development of a new calculus which can be considered as an outcome of the last decade of various researches on (higher order) term rewriting syst...