RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

  • ISSN (Print) 2686-9543
  • ISSN (Online) 3034-5049

ELEMENTARY INVARIANTS FOR QUANTIFIED PROBABILITY LOGIC

PII
10.31857/S2686954323600040-1
DOI
10.31857/S2686954323600040
Publication type
Status
Published
Authors
Volume/ Edition
Volume 510 / Issue number 1
Pages
8-12
Abstract
Let QPL be the two-sorted probabilistic language proposed in [8], which expands the well-known ‘polynomial’ language described in [3, Section 6] by adding quantifiers over events. We show that all atomless spaces have the same QPL-theory, and this theory is decidable. Also we introduce the notion of elementary invariant for QPL and use it for obtaining exact complexity upper bounds for some interesting probabilistic theories.
Keywords
вероятностная логика квантификация по событиям элементарные инварианты сложность
Date of publication
17.09.2025
Year of publication
2025
Number of purchasers
0
Views
12

References

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