A propositional p-adic probability logic

A PROPOSITIONAL p-ADIC PROBABILITY LOGIC

We present the p-adic probability logic LpPP based on the paper [5] by A. Khrennikov et al. The logical language contains formulas such as P=s(α) with the intended meaning “the probability of α is equal to s", where α is a propositional formula. We introduce a class of Kripke-like models that combine properties of the usual Kripke models and finitely additive p-adic probabilities. We propose an...

A p-adic probability logic

Conditional p-adic probability logic

Probability model of a p-adic coin Conditional p-adic probability logic CPL Qp

Propositional Logic as a Propositional Fuzzy Logic

There are several ways to extend the classical logical connectives for fuzzy truth degrees, in such a way that their behavior for the values 0 and 1 work exactly as in the classical one. For each extension of logical connectives the formulas which are always true (the tautologies) changes. In this paper we will provide a fuzzy interpretation for the usual connectives (conjunction, disjunction, ...

The Probability That a Random Monic p-adic Polynomial Splits