Lifted Inference with Tree Axioms
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F23%3A00367818" target="_blank" >RIV/68407700:21230/23:00367818 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.artint.2023.103997" target="_blank" >https://doi.org/10.1016/j.artint.2023.103997</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.artint.2023.103997" target="_blank" >10.1016/j.artint.2023.103997</a>
Alternative languages
Result language
angličtina
Original language name
Lifted Inference with Tree Axioms
Original language description
We consider the problem of weighted first-order model counting (WFOMC): given a first-order sentence ϕ and domain size , determine the weighted sum of models of ϕ over the domain . Past work has shown that any sentence using at most two logical variables admits an algorithm for WFOMC that runs in time polynomial in the given domain size [1], [2]. The same property was later also shown to hold for , the two-variable fragment with counting quantifiers [3]. In this paper, we further expand this result to any sentence ϕ with the addition of a tree axiom, stating that some distinguished binary relation in ϕ forms a tree in the graph-theoretic sense.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Artificial Intelligence
ISSN
0004-3702
e-ISSN
1872-7921
Volume of the periodical
324
Issue of the periodical within the volume
November
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
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UT code for WoS article
001080001100001
EID of the result in the Scopus database
2-s2.0-85169822848