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» Refocusing Generalised Normalisation
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CIE
2007
Springer
14 years 5 months ago
Refocusing Generalised Normalisation
Abstract. When defined with general elimination/application rules, natural deduction and λ-calculus become closer to sequent calculus. In order to get real isomorphism, normalisa...
José Espírito Santo
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
ENTCS
2002
66views more  ENTCS 2002»
13 years 11 months ago
Strongly Normalising Cut-Elimination with Strict Intersection Types
This paper defines reduction on derivations in the strict intersection type assignment system of [2], by generalising cut-elimination, and shows a strong normalisation result for ...
Steffen van Bakel
TYPES
2007
Springer
14 years 5 months ago
Characterising Strongly Normalising Intuitionistic Sequent Terms
This paper gives a characterisation, via intersection types, of the strongly normalising terms of an intuitionistic sequent calculus (where LJ easily embeds). The soundness of the ...
José Espírito Santo, Silvia Ghilezan...
RTA
2007
Springer
14 years 5 months ago
Delayed Substitutions
Abstract. This paper investigates an approach to substitution alternative to the implicit treatment of the λ-calculus and the explicit treatment of explicit substitution calculi. ...
José Espírito Santo