A natural prior probability distribution derived from the propositional calculus

A Computational Structure for the Propositional Calculus

Despite the long history and descriptive simplicity of the propositional calculus, practical aspects of its implementation on the computer remain an active area of study. We propose a representation of the propositional calculus which is straightforward, yet compact and sufficiently flexible to circumvent the combinatorial difficulties posed by many problems. The methodology does not involve te...

On the Distribution of Natural Probability Functions

differential propositional calculus ∗

calculus Calculus circle Circle collection Collection combination Combination combinations Combinations component Component components Components cover Cover cut Cut divides Divides entire Entire even Even language Language number Number object Object objects Objects parallel Parallel range Range ranges Ranges rank Rank ranks Ranks place Place representation Representation represents Represents...

Propositional Calculus and Realizability

In [13], Kleene formulated a truth-notion called "readability" for formulas of intuitionistic number theory(1). David Nelson(2) showed that every number-theoretic formula deducible in the intuitionistic predicate calculus(3) (stated by means of schemata, without proposition or predicate variables) from realizable number-theoretic formulas is realizable. In particular, then, every formula in the...

Relativized Propositional Calculus

Motivation: Complexity lower bounds and independence results are easier in a relativized setting. It seems reasonable to define a relativized setting for the propositional calculus in order to prove lower bounds.