A FIRST-ORDER CONDITIONAL PROBABILITY LOGIC WITH ITERATIONS

作者:Milosevic Milos*; Ognjanovic Zoran
来源:Institut Mathematique, 2013, 93(107): 19-27.
DOI:10.2298/PIM1307019M

摘要

We investigate a first-order conditional probability logic with equality, which is, up to our knowledge, the first treatise of such logic. The logic, denoted LFPOIC=, allows making statements such as: CP >= s(phi, theta), and CP <= s(phi, theta), with the intended meaning that the conditional probability of phi given theta is at least (at most) s. The corresponding syntax, semantic, and axiomatic system are introduced, and Extended completeness theorem is proven.

  • 出版日期2013

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