Logics with the Qualitative Probability Operator

2007 ◽  
Vol 16 (2) ◽  
pp. 105-120 ◽  
Author(s):  
Z. Ognjanovic ◽  
A. Perovic ◽  
M. Raskovic
Keyword(s):  
Qualitative Probability ◽  
Probability Operator

scholarly journals A logic for reasoning about qualitative probability

2010 ◽  
Vol 87 (101) ◽  
pp. 97-108 ◽  
Author(s):  
Angelina Ilic-Stepic
Keyword(s):  
Completeness Theorem ◽  
Higher Order ◽  
Probabilistic Logic ◽  
Qualitative Probability ◽  
Probability Operators ◽  
Probability Operator

We offer extended completeness theorem for probabilistic logic that combines higher-order probabilities (nesting of probability operators) and the qualitative probability operator.

Quantization of Hamiltonian Theories Based on a Probability Operator

1988 ◽  
pp. 115-143 ◽  
Author(s):  
E. E. Entralgo ◽  
V. V. Kuryshkin ◽  
Yu. I. Zaparovanny
Keyword(s):  
Probability Operator

On Qualitative Probability

1967 ◽  
Vol 74 (6) ◽  
pp. 661 ◽  
Author(s):  
C. Villegas
Keyword(s):  
Qualitative Probability

scholarly journals When do Projections Commute?

1980 ◽  
Vol 35 (4) ◽  
pp. 437-441 ◽  
Author(s):  
W. Rehder
Keyword(s):  
Hilbert Space ◽  
Conditional Probability ◽  
Mechanical Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Quantum Mechanical ◽  
Probability Operator ◽  
Quantum Mechanical Systems ◽  
Necessary And Sufficient ◽  
New Criteria

Abstract Necessary and sufficient conditions for commutativity of two projections in Hilbert space are given through properties of so-called conditional connectives which are derived from the conditional probability operator PQP. This approach unifies most of the known proofs, provides a few new criteria, and permits certain suggestive interpretations for compound properties of quantum-mechanical systems.

The Measurement of Qualitative Probability

2000 ◽  
Vol 44 (3) ◽  
pp. 464-479 ◽  
Author(s):  
Stephen A. Clark
Keyword(s):  
Qualitative Probability
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