A Logic for Reasoning about Upper Probabilities
Author(s) -
Joseph Y. Halpern,
Riccardo Pucella
Publication year - 2002
Publication title -
journal of artificial intelligence research
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.79
H-Index - 123
eISSN - 1943-5037
pISSN - 1076-9757
ISBN - 1-55860-800-1
DOI - 10.1613/jair.985
Subject(s) - satisfiability , propositional calculus , autoepistemic logic , well formed formula , propositional variable , computer science , set (abstract data type) , mathematics , zeroth order logic , boolean satisfiability problem , event (particle physics) , interval (graph theory) , dynamic logic (digital electronics) , interval temporal logic , discrete mathematics , theoretical computer science , linear temporal logic , algorithm , intermediate logic , multimodal logic , description logic , programming language , combinatorics , physics , quantum mechanics , transistor , voltage
We present a propositional logic to reason about the uncertainty of events, where the uncertainty is modeled by a set of probability measures assigning an interval of probability to each event. We give a sound and complete axiomatization for the logic, and show that the satisfiability problem is NP-complete, no harder than satisfiability for propositional logic.
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