Behavioral QLTL

This paper introduces Behavioral QLTL, a “behavioral” variant of Linear Temporal Logic (LTL) with second-order quantifiers. Behavioral QLTL is characterized by the fact that the functions that assign the truth value of the quantified propositions along the trace can only depend on the past. In other...

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Main Authors: De Giacomo, G, Perelli, G
Format: Conference item
Language:English
Published: Springer 2023
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author De Giacomo, G
Perelli, G
author_facet De Giacomo, G
Perelli, G
author_sort De Giacomo, G
collection OXFORD
description This paper introduces Behavioral QLTL, a “behavioral” variant of Linear Temporal Logic (LTL) with second-order quantifiers. Behavioral QLTL is characterized by the fact that the functions that assign the truth value of the quantified propositions along the trace can only depend on the past. In other words, such functions must be “processes” [1]. This gives the logic a strategic flavor that we usually associate with planning. Indeed we show that temporally extended planning in nondeterministic domains and LTL synthesis are expressed in Behavioral QLTL through formulas with a simple quantification alternation. While as this alternation increases, we get to forms of planning/synthesis in which contingent and conformant planning aspects get mixed. We study this logic from the computational point of view and compare it to the original QLTL (with non-behavioral semantics) and simpler forms of behavioral semantics.
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spelling oxford-uuid:89364c96-ba59-44de-89eb-a41e69e449632024-09-09T09:47:58ZBehavioral QLTLConference itemhttp://purl.org/coar/resource_type/c_5794uuid:89364c96-ba59-44de-89eb-a41e69e44963EnglishSymplectic ElementsSpringer2023De Giacomo, GPerelli, GThis paper introduces Behavioral QLTL, a “behavioral” variant of Linear Temporal Logic (LTL) with second-order quantifiers. Behavioral QLTL is characterized by the fact that the functions that assign the truth value of the quantified propositions along the trace can only depend on the past. In other words, such functions must be “processes” [1]. This gives the logic a strategic flavor that we usually associate with planning. Indeed we show that temporally extended planning in nondeterministic domains and LTL synthesis are expressed in Behavioral QLTL through formulas with a simple quantification alternation. While as this alternation increases, we get to forms of planning/synthesis in which contingent and conformant planning aspects get mixed. We study this logic from the computational point of view and compare it to the original QLTL (with non-behavioral semantics) and simpler forms of behavioral semantics.
spellingShingle De Giacomo, G
Perelli, G
Behavioral QLTL
title Behavioral QLTL
title_full Behavioral QLTL
title_fullStr Behavioral QLTL
title_full_unstemmed Behavioral QLTL
title_short Behavioral QLTL
title_sort behavioral qltl
work_keys_str_mv AT degiacomog behavioralqltl
AT perellig behavioralqltl