Automata Linear Dynamic Logic on Finite Traces

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dc.contributor.advisorVardi, Moshe Y.en_US
dc.creatorSmith, Kevin Wayneen_US
dc.date.accessioned2021-09-01T13:47:29Zen_US
dc.date.available2021-09-01T13:47:29Zen_US
dc.date.created2021-12en_US
dc.date.issued2021-08-27en_US
dc.date.submittedDecember 2021en_US
dc.date.updated2021-09-01T13:47:30Zen_US
dc.description.abstractTemporal logics are widely used by the Formal Methods and AI communities. Linear Temporal Logic is a popular temporal logic and is valued for its ease of use as well as its balance between expressiveness and complexity. LTL is equivalent in expressiveness to Monadic First-Order Logic and satisfiability for LTL is PSPACE-complete. Linear Dynamic Logic (LDL), another temporal logic, is equivalent to Monadic Second-Order Logic, but its method of satisfiability checking cannot be applied to a nontrivial subset of LDL formulas. In this thesis I introduce Automata Linear Dynamic Logic on Finite Traces (ALDLf) and show that satisfiability for ALDLf formulas is in PSPACE. A variant of Linear Dynamic Logic on Finite Traces (LDLf), ALDLf combines propositional logic with nondeterministic finite automata (NFA) to express temporal constraints. ALDLf is equivalent in expressiveness to Monadic Second-Order Logic. This is a gain in expressiveness over LTL at no cost.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationSmith, Kevin Wayne. "Automata Linear Dynamic Logic on Finite Traces." (2021) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/111347">https://hdl.handle.net/1911/111347</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/111347en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectformal methodsen_US
dc.subjecttemporal logicen_US
dc.subjectautomata theoryen_US
dc.subjecttheoretical computer scienceen_US
dc.subjectformal logicen_US
dc.subjectlogicen_US
dc.titleAutomata Linear Dynamic Logic on Finite Tracesen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputer Scienceen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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