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CORR
2010
Springer
76views Education» more  CORR 2010»
13 years 11 months ago
Infinitary Combinatory Reduction Systems: Normalising Reduction Strategies
Abstract. We study normalising reduction strategies for infinitary Combinatory Reduction Systems (iCRSs). We prove that all fair, outermost-fair, and needed-fair strategies are nor...
Jeroen Ketema, Jakob Grue Simonsen
BIRTHDAY
2005
Springer
14 years 4 months ago
Reduction Strategies for Left-Linear Term Rewriting Systems
Huet and L´evy (1979) showed that needed reduction is a normalizing strategy for orthogonal (i.e., left-linear and non-overlapping) term rewriting systems. In order to obtain a de...
Yoshihito Toyama
FLOPS
2004
Springer
14 years 4 months ago
Basic Pattern Matching Calculi: a Fresh View on Matching Failure
We propose pattern matching calculi as a refinement of λ-calculus that integrates mechanisms appropriate for fine-grained modelling of non-strict pattern matching. Compared with...
Wolfram Kahl
CORR
2010
Springer
194views Education» more  CORR 2010»
13 years 8 months ago
A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...
Stéphane Lengrand, Roy Dyckhoff, James McKi...