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First-Order and Temporal Logics for Nested Words

Rajeev Alur ; Marcelo Arenas ; Pablo Barcelo ; Kousha Etessami ; Neil Immerman ; Leonid Libkin.

Nested words are a structured model of execution paths in procedural programs, reflecting their call and return nesting structure. Finite nested words also capture the structure of parse trees and other tree-structured data, such as XML. We provide new temporal logics for finite and infinite nested&nbsp;[&hellip;]

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Order-Invariant Types and Their Applications

Pablo Barcelo ; Leonid Libkin.

Our goal is to show that the standard model-theoretic concept of types can be applied in the study of order-invariant properties, i.e., properties definable in a logic in the presence of an auxiliary order relation, but not actually dependent on that order relation. This is somewhat surprising since&nbsp;[&hellip;]

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Logics for Unranked Trees: An Overview

Leonid Libkin.

Labeled unranked trees are used as a model of XML documents, and logical languages for them have been studied actively over the past several years. Such logics have different purposes: some are better suited for extracting data, some for expressing navigational properties, and some make it easy to&nbsp;[&hellip;]

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