The Finite Satisfiability Problem for PCTL is Undecidable
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F24%3A00136941" target="_blank" >RIV/00216224:14330/24:00136941 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1145/3661814.3662145" target="_blank" >http://dx.doi.org/10.1145/3661814.3662145</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1145/3661814.3662145" target="_blank" >10.1145/3661814.3662145</a>
Alternative languages
Result language
angličtina
Original language name
The Finite Satisfiability Problem for PCTL is Undecidable
Original language description
We show that the problem of whether a given PCTL formula has a finite model is undecidable. The undecidability result holds even for formulae of the form phi_1 wedge G=1 phi_2 where the validity of phi_1,phi_2 depends only on the states reachable in at most two transitions. Consequently, the problem of whether a given PCTL formula is valid in all finite-state Markov chains is not even semi-decidable.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA21-24711S" target="_blank" >GA21-24711S: Efficient Analysis and Optimization for Probabilistic Systems and Games</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 39th Annual ACM/IEEE Symposium on Logic in Computer Science
ISBN
9798400706608
ISSN
1043-6871
e-ISSN
—
Number of pages
14
Pages from-to
1-14
Publisher name
IEEE Computer Society
Place of publication
New York, United States
Event location
Tallinn, Estonia
Event date
Jan 1, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001275042100022