Nominal Equational Logic
Author(s) -
Ranald Clouston,
Andrew M. Pitts
Publication year - 2007
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2007.02.009
Subject(s) - equational logic , interpretation (philosophy) , extension (predicate logic) , computer science , programming language , algebra over a field , mathematics , discrete mathematics , theoretical computer science , arithmetic , pure mathematics , rewriting
This paper studies the notion of “freshness” that often occurs in the meta-theory of computer science languages involving various kinds of names. Nominal Equational Logic is an extension of ordinary equational logic with assertions about the freshness of names. It is shown to be both sound and complete for the support interpretation of freshness and equality provided by the Gabbay-Pitts nominal sets model of names, binding and α-conversion
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