In this paper we give a structural characterization and ex- tend the tractability frontier of the Simple Temporal Problem (STP) by defining the class of the Extended Simple Temporal Problem (ESTP), which augments STP with strict inequal- ities and monotone Boolean formulae on inequations (i.e., formulae involving the operations of conjunction, disjunction and parenthesization). A polynomial-time algorithm is pro- vided to solve ESTP, faster than previous state-of-the-art al- gorithms for other extensions of STP that had been consid- ered in the literature, all encompassed by ESTP. We show the practical competitiveness of our approach through a proof-of- concept implementation and an experimental evaluation involving also state-of-the-art SMT solvers.

Faster and better simple temporal problems

Dario Ostuni;Alice Raffaele;Romeo Rizzi;Matteo Zavatteri
2021-01-01

Abstract

In this paper we give a structural characterization and ex- tend the tractability frontier of the Simple Temporal Problem (STP) by defining the class of the Extended Simple Temporal Problem (ESTP), which augments STP with strict inequal- ities and monotone Boolean formulae on inequations (i.e., formulae involving the operations of conjunction, disjunction and parenthesization). A polynomial-time algorithm is pro- vided to solve ESTP, faster than previous state-of-the-art al- gorithms for other extensions of STP that had been consid- ered in the literature, all encompassed by ESTP. We show the practical competitiveness of our approach through a proof-of- concept implementation and an experimental evaluation involving also state-of-the-art SMT solvers.
978-1-57735-866-4
extended simple temporal problem, structural characterization, tractability frontier
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/1043540
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