Yoshida, Nobuko and Honda, Kohei and Berger, Martin - Logical Reasoning for Higher-Order Functions with Local State

lmcs:830 - Logical Methods in Computer Science, October 20, 2008, Volume 4, Issue 4
Logical Reasoning for Higher-Order Functions with Local State

Authors: Yoshida, Nobuko and Honda, Kohei and Berger, Martin

We introduce an extension of Hoare logic for call-by-value higher-order functions with ML-like local reference generation. Local references may be generated dynamically and exported outside their scope, may store higher-order functions and may be used to construct complex mutable data structures. This primitive is captured logically using a predicate asserting reachability of a reference name from a possibly higher-order datum and quantifiers over hidden references. We explore the logic's descriptive and reasoning power with non-trivial programming examples combining higher-order procedures and dynamically generated local state. Axioms for reachability and local invariant play a central role for reasoning about the examples.


Source : oai:arXiv.org:0806.2448
DOI : 10.2168/LMCS-4(4:2)2008
Volume: Volume 4, Issue 4
Published on: October 20, 2008
Submitted on: September 23, 2007
Keywords: Computer Science - Logic in Computer Science,Computer Science - Programming Languages,D.3.3,D.3.2,F.3.1,F.3.2,F.4.1


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