Classical Generalized Probabilistic Satisfiability

Authors: Carlos Caleiro, Filipe Casal, Andreia Mordido

IJCAI 2017 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Experimental Here, we present a polynomial reduction of GGen PSAT to SMT over the quantifierfree theory of linear integer and real arithmetic. Capitalizing on this translation, we implement and test a solver for the GGen PSAT problem. As previously observed for many other NP-complete problems, we are able to detect a phase transition behavior for GGen PSAT.
Researcher Affiliation Academia Carlos Caleiro SQIG Instituto de Telecomunicac oes DMath, Instituto Superior T ecnico Universidade de Lisboa, Portugal carlos.caleiro@tecnico.ulisboa.pt Filipe Casal CMAF-CIO, Portugal DMath, Instituto Superior T ecnico Universidade de Lisboa, Portugal filipe.casal@tecnico.ulisboa.pt Andreia Mordido INOV INESC Inovac ao, Portugal andreia.mordido@inov.pt
Pseudocode Yes Algorithm 1 GGen PSAT solver based on SMT QF LIRA
Open Source Code Yes [Caleiro et al., 2016c] C. Caleiro, F. Casal, and A. Mordido. GGen PSAT solver, 2016. Available online at https://github.com/fcasal/ggenpsat.git.
Open Datasets No The paper mentions generating 'random GGen PSAT instances' and 'random 3SAT instances' but does not specify access information (link, citation, DOI) for these generated datasets.
Dataset Splits No The paper mentions generating 'random GGen PSAT instances' but does not specify any training, validation, or test splits for these instances.
Hardware Specification Yes The machine used for the tests was a Mac Pro at 3.33 GHz 6-Core Intel Xeon with 6 GB of memory.
Software Dependencies Yes The software was written in Python, and we used Yices [Dutertre, 2014], version 2.5.1, to solve the SMT problem.
Experiment Setup Yes We generated the random GGen PSAT instances as follows: a random 3SAT instance with n variables and m clauses is generated and then, each variable xi is replaced by a problem Gi which is a conjunction of k random probabilistic atoms over n variables.