Results 21 to 30 of about 86 (68)
Interpretations over Heyting's Arithmetic
In this paper we experiment with a rather general notion of “interpretation in constructive arithmetical theories”. We prove a number of elementary properties of the notion introduced. We prove a number of negative results for interpretations that commute with disjunction. These negative results diverge markedly from what is known in the classical case.
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The Role of the Mizar Mathematical Library for Interactive Proof Development in Mizar. [PDF]
Bancerek G +6 more
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A generalization of Nash's theorem with higher-order functionals. [PDF]
Hedges J.
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The disjunction property implies the numerical existence property. [PDF]
Friedman H.
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Bdf1, a yeast chromosomal protein required for sporulation. [PDF]
Chua P, Roeder GS.
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Propositional combinations of Σ-sentences in Heyting's Arithmetic
This paper is mainly about Boolean combinations of Σ-formulas (B(Σ)-formulas) in HA. We prove a theorem guaranteeing that if a B(Σ)-formula is provable in HA, then a simpler one is also provable. Our theorem yields a characterization of the derived rules of HA for Σ-substitutions.
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Restriction enzyme analysis of mitochondrial DNA of the Aspergillus flavus group: A. flavus, A. parasiticus, and A. nomius. [PDF]
Moody SF, Tyler BM.
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We show that in the presence of a strengthened Kripke’s schema — a plausible addition to the axiomatisation of intuitionistic analysis (see in e.g. [1] or [2]) — choice sequences can be recursively encoded in intuitionistic real algebra. Choice sequences are intuitionistically meaningful counterparts of sequences of natural numbers, and with them ...
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Gödel's modal interpretation of intuitionistic logic and its proof theory. [PDF]
von Plato J.
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