Symbolic Pattern Temporal Numeric Planning with Intermediate Conditions and Effects

Matteo Cardellini, Enrico Giunchiglia
2/10/2026
cs.AI

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Abstract

Recently, a Symbolic Pattern Planning (SPP) approach was proposed for numeric planning where a pattern (i.e., a finite sequence of actions) suggests a causal order between actions. The pattern is then encoded in a SMT formula whose models correspond to valid plans. If the suggestion by the pattern is inaccurate and no valid plan can be found, the pattern is extended until it contains the causal order of actions in a valid plan, making the approach complete. In this paper, we extend the SPP approach to the temporal planning with Intermediate Conditions and Effects (ICEs) fragment, where $(i)$ actions are durative (and thus can overlap over time) and have conditions/effects which can be checked/applied at any time during an action's execution, and $(ii)$ one can specify plan's conditions/effects that must be checked/applied at specific times during the plan execution. Experimental results show that our SPP planner Patty $(i)$ outperforms all other planners in the literature in the majority of temporal domains without ICEs, $(ii)$ obtains comparable results with the SoTA search planner for ICS in literature domains with ICEs, and $(iii)$ outperforms the same planner in a novel domain based on a real-world application.

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Cite this paper

@article{cardellini2026symbolic,
  title  = {Symbolic Pattern Temporal Numeric Planning with Intermediate Conditions and Effects},
  author = {Matteo Cardellini and Enrico Giunchiglia},
  year   = {2026},
  eprint = {2602.09798},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2602.09798v1}
}

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