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June 24, 2008 to June 27, 2008
ISBN: 978-0-7695-3183-0
pp: 57-68
The paper develops a mathematical theory in the spirit of categorical algebra that provides a model theory for second-order and dependently-sorted syntax.??The theory embodies notions such as alpha-equivalence, variable binding, capture-avoiding simultaneous substitution, term metavariable, meta-substitution, mono and multi sorting, and sort dependency.??As a matter of illustration, a model is used to extract a second-order syntactic theory, which is thus guaranteed to be correct by construction.
abstract syntax, second-order syntax, dependently-sorted syntax, alpha-equivalence, variable binding, substitution, metavariable, meta-substitution, categorical algebra
Marcelo Fiore, "Second-Order and Dependently-Sorted Abstract Syntax", LICS, 2008, Logic in Computer Science, Symposium on, Logic in Computer Science, Symposium on 2008, pp. 57-68, doi:10.1109/LICS.2008.38
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