Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/3906
Título: | Permutative conversions in intuitionistic multiary sequent calculi with cuts |
Autor(es): | Espírito Santo, José Pinto, Luís F. |
Palavras-chave: | $\lambda$-calculus Permutative conversions Sequent calculus |
Data: | 2003 |
Editora: | Springer |
Revista: | Lecture Notes in Computer Science |
Citação: | HOFMANN, Martin, ed. - “Typed lambda calculi and applications : 6th international conference, TLCA 2003, Valencia, Spain, June 10-12, 2003 : proceedings”. Berlin [etc.]: Springer, cop. 2003. ISBN 3-540-40332-9. p. 286-300. |
Resumo(s): | This work presents an extension with cuts of Schwichtenberg's multiary sequent calculus. We identify a set of permutative conversions on it, prove their termination and confluence and establish the permutability theorem. We present our sequent calculus as the typing system of the {\em generalised multiary $\lambda$-calculus} lambda-Jm, a new calculus introduced in this work. Lambda-Jm corresponds to an extension of $\lambda$-calculus with a notion of {\em generalised multiary application}, which may be seen as a function applied to a list of arguments and then explicitly substituted in another term. Proof-theoretically the corresponding typing rule encompasses, in a modular way, generalised eliminations of von Plato and Herbelin's head cuts. |
Tipo: | Capítulo de livro |
URI: | https://hdl.handle.net/1822/3906 |
ISBN: | 3-540-40332-9 |
ISSN: | 0302-9743 |
Versão da editora: | The original publication is available at www.springerlink.com |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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perm_conv.pdf | 192,3 kB | Adobe PDF | Ver/Abrir |