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Note on Truth-Tables

โœ Scribed by Jan Kalicki


Book ID
124958676
Publisher
Association for Symbolic Logic
Year
1950
Tongue
English
Weight
512 KB
Volume
15
Category
Article
ISSN
0022-4812

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๐Ÿ“œ SIMILAR VOLUMES


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We show that Smullyan's analytic tableaux cannot p-simulate the truth-tables. We identify the cause of this computational breakdown and relate it to an underlying semantic difficulty which is common to the whole tradition originating in Gentzen's sequent calculus, namely the dissonance between cut-f

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Schnorr randomness and computable randomness are natural concepts of random sequences. However van Lambalgen's Theorem fails for both randomnesses. In this paper we define truth-table Schnorr randomness (defined in [6] too only by martingales) and truth-table reducible randomness, for which we prove