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ISIPTA
2005
IEEE
151views Mathematics» more  ISIPTA 2005»
15 years 3 months ago
Towards a Unifying Theory of Logical and Probabilistic Reasoning
Logic and probability theory have both a long history in science. They are mainly rooted in philosophy and mathematics, but are nowadays important tools in many other fields such...
Rolf Haenni
CADE
2010
Springer
14 years 10 months ago
Automated Synthesis of Induction Axioms for Programs with Second-Order Recursion
In order to support the verification of programs, verification tools such as ACL2 or Isabelle try to extract suitable induction axioms from the definitions of terminating, recursiv...
Markus Aderhold
TSE
2011
134views more  TSE 2011»
14 years 4 months ago
Verifying the Evolution of Probability Distributions Governed by a DTMC
— We propose a new probabilistic temporal logic iLTL which captures properties of systems whose state can be represented by probability mass functions (pmf’s). Using iLTL, we c...
YoungMin Kwon, Gul A. Agha
ISIPTA
2005
IEEE
137views Mathematics» more  ISIPTA 2005»
15 years 3 months ago
Basing Probabilistic Logic on Gambles
This article presents a probabilistic logic whose sentences can be interpreted as asserting the acceptability of gambles described in terms of an underlying logic. This probabilis...
Peter R. Gillett, Richard B. Scherl, Glenn Shafer
AAAI
2007
14 years 12 months ago
Logical Generative Models for Probabilistic Reasoning about Existence, Roles and Identity
In probabilistic reasoning, the problems of existence and identity are important to many different queries; for example, the probability that something that fits some description...
David Poole