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The intuitionistic propositional calculus with quantifiers

✍ Scribed by S. K. Sobolev

Publisher: SP MAIK Nauka/Interperiodica
Year: 1977
Tongue: English
Weight: 285 KB
Volume: 22
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01147694

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On 2nd order intuitionistic propositional calculus with full comprehension

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Simulating non-prenex cuts in quantified

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## MSC (2010) 03F20 We show that the quantified propositional proof systems Gi are polynomially equivalent to their restricted versions that require all cut formulas to be prenex Σ q i or prenex Π q i . Previously this was known only for the treelike systems G \* i .

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✍ V. Michele Abrusci 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 252 KB

A COMPARISON BETWEEN LAMBEK SYNTACTIC CALCULUS ASD INTUITIONISTIC LINEAR PROPOSITIONAL LOGIC by V. MICHELE ABRUSCI in Bari (Italy) ## 1. Synt,ax Let us consider LAMBEK'S syntactic calculus LSC as formulated in BUSZKOWSKI [ Z ] in an axiomatization very close to GEmZEN's sequential formalism. We d