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» The simply typed rewriting calculus
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ENTCS
2008
101views more  ENTCS 2008»
13 years 4 months ago
Normalization for the Simply-Typed Lambda-Calculus in Twelf
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'...
Andreas Abel
ENTCS
2007
113views more  ENTCS 2007»
13 years 4 months ago
A Formalization of Strong Normalization for Simply-Typed Lambda-Calculus and System F
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...
Kevin Donnelly, Hongwei Xi
IFIP
2004
Springer
13 years 10 months ago
Ensuring Termination by Typability
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...
Yuxin Deng, Davide Sangiorgi
FOSSACS
2001
Springer
13 years 9 months ago
The Rho Cube
The rewriting calculus, or Rho Calculus (ρCal), is a simple calculus that uniformly integrates abstraction on patterns and nondeterminism. Therefore, it fully integrates rewriting...
Horatiu Cirstea, Claude Kirchner, Luigi Liquori
ENTCS
2002
128views more  ENTCS 2002»
13 years 4 months ago
Rewriting Calculus with(out) Types
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...
Horatiu Cirstea, Claude Kirchner, Luigi Liquori