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Non-Commutative Infinitary Peano Arithmetic

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Publication:2915710
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DOI10.4230/LIPICS.CSL.2011.538zbMath1247.03122OpenAlexW2293271212MaRDI QIDQ2915710

Stefano Berardi, Makoto Tatsuta

Publication date: 18 September 2012

Full work available at URL: http://drops.dagstuhl.de/opus/volltexte/2011/3255/pdf/42.pdf/


zbMATH Keywords

cut eliminationproof theorysubstructural logicinfinitary logicintuitionistic logicrecursive omega rules


Mathematics Subject Classification ID

Cut-elimination and normal-form theorems (03F05) First-order arithmetic and fragments (03F30) Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics) (03B47)


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Inside the Muchnik degrees. I: Discontinuity, learnability and constructivism







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