We give sound and complete axiomatization of a probabilistic extension of intuitionistic logic. Reasoning with probability operators, unlike other works on this topic, is also intuitionistic, that is, measure functions used for modeling probability operators are partial functions. Finally, we present a decision procedure for our logic which is a combination of linear programming and an intuitionistic tableaux method.
Keywords:
intuitionistic logic / probability extensions / completeness / decidability
TY - JOUR
AU - Ilić-Stepić, Angelina
AU - Knežević, Mateja
AU - Ognjanović, Zoran
PY - 2022
UR - https://grafar.grf.bg.ac.rs/handle/123456789/2961
AB - We give sound and complete axiomatization of a probabilistic extension of intuitionistic logic. Reasoning with probability operators, unlike other works on this topic, is also intuitionistic, that is, measure functions used for modeling probability operators are partial functions. Finally, we present a decision procedure for our logic which is a combination of linear programming and an intuitionistic tableaux method.
T2 - Mathematical Logic Quarterly
T1 - Intuitionistic Propositional Probability Logic
VL - 68
DO - 10.1002/malq.202100052
ER -
@article{
author = "Ilić-Stepić, Angelina and Knežević, Mateja and Ognjanović, Zoran",
year = "2022",
abstract = "We give sound and complete axiomatization of a probabilistic extension of intuitionistic logic. Reasoning with probability operators, unlike other works on this topic, is also intuitionistic, that is, measure functions used for modeling probability operators are partial functions. Finally, we present a decision procedure for our logic which is a combination of linear programming and an intuitionistic tableaux method.",
journal = "Mathematical Logic Quarterly",
title = "Intuitionistic Propositional Probability Logic",
volume = "68",
doi = "10.1002/malq.202100052"
}
Ilić-Stepić, A., Knežević, M.,& Ognjanović, Z.. (2022). Intuitionistic Propositional Probability Logic. in Mathematical Logic Quarterly, 68.
https://doi.org/10.1002/malq.202100052
Ilić-Stepić A, Knežević M, Ognjanović Z. Intuitionistic Propositional Probability Logic. in Mathematical Logic Quarterly. 2022;68.
doi:10.1002/malq.202100052 .
Ilić-Stepić, Angelina, Knežević, Mateja, Ognjanović, Zoran, "Intuitionistic Propositional Probability Logic" in Mathematical Logic Quarterly, 68 (2022),
https://doi.org/10.1002/malq.202100052 . .
