An algorithm for probabilistic planning
Artificial Intelligence - Special volume on planning and scheduling
Fast planning through planning graph analysis
Artificial Intelligence
Semiring-based constraint satisfaction and optimization
Journal of the ACM (JACM)
Multi-valued symbolic model-checking
ACM Transactions on Software Engineering and Methodology (TOSEM)
CAMA: A Multi-Valued Satisfiability Solver
Proceedings of the 2003 IEEE/ACM international conference on Computer-aided design
A Multivalued logic model of planning
Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
Conformant planning via symbolic model checking
Journal of Artificial Intelligence Research
Faster heuristic search algorithms for planning with uncertainty and full feedback
IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
Planning in nondeterministic domains under partial observability via symbolic model checking
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
CADE' 20 Proceedings of the 20th international conference on Automated Deduction
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In this work a model for planning with multivalued fluents and graded actions, based on the infinity-valued Lukasiewicz logic, is introduced. In multivalued planning, fluents and actions can assume truth values in [0, 1]. Multivalued fluents and graded actions allow to model many real situations where some features of the world cannot be modelled with boolean values and where actions can be executed with varying strength which produces graded effects as well. A correct/complete algorithm which solves bounded multivalued planning problems based on MIP compilation is also described and a prototype implementation is presented.