2009
DOI: 10.3166/jancl.19.149-166
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Abstract: This article may be used for research, teaching, and private study purposes. Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae, and drug doses should be independently verified with primary sources. Th… Show more

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Cited by 4 publications
(9 citation statements)
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“…In the construction of a branch, the formulas decomposed by right rules are stored in the history; loops are avoided by preventing the application of some right rules to formulas already in the history. The second line of research, which in proof-theoretical terms concerns the identification of contraction-free calculi, generated several calculi where the reuse of implicative formulas is prevented by replacing A → B on the left with "simpler" formulas or adopting a nonstandard notion of sequent [Vorob'ev 1970;Dyckhoff 1992;Hudelmaier 1993;Miglioli et al 1997;Ferrari et al 2009Ferrari et al , 2013a.…”
Section: Introductionmentioning
confidence: 99%
“…In the construction of a branch, the formulas decomposed by right rules are stored in the history; loops are avoided by preventing the application of some right rules to formulas already in the history. The second line of research, which in proof-theoretical terms concerns the identification of contraction-free calculi, generated several calculi where the reuse of implicative formulas is prevented by replacing A → B on the left with "simpler" formulas or adopting a nonstandard notion of sequent [Vorob'ev 1970;Dyckhoff 1992;Hudelmaier 1993;Miglioli et al 1997;Ferrari et al 2009Ferrari et al , 2013a.…”
Section: Introductionmentioning
confidence: 99%
“…The main difference among LSJ and the terminating calculi in [4,5,12,13,20] is that LSJ meets the subformula property. Paper [3] presents a sequent calculus with the subformula property whose termination is based on the rule a-fortiori; differently from LSJ the depth of its proofs is not linearly bounded.…”
Section: Related Workmentioning
confidence: 99%
“…As the reader can easily check inspecting the rules, LSJ is a contraction-free calculus and, differently from other well-known contraction-free proposals [4,5,11,14,20], it has the subformula property: every formula occurring in a derivation is a subformula of the root sequent.…”
Section: The Calculus Lsjmentioning
confidence: 99%
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