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Second-Order and Dependently-Sorted Abstract Syntax
June 24-June 27
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/LICS.2008.382008 23rd Annual IEEE Symposium on Lo ...
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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.
Index Terms:
abstract syntax, second-order syntax, dependently-sorted syntax, alpha-equivalence, variable binding, substitution, metavariable, meta-substitution, categorical algebra
Citation:
Marcelo Fiore, "Second-Order and Dependently-Sorted Abstract Syntax," lics, pp.57-68, 2008 23rd Annual IEEE Symposium on Logic in Computer Science, 2008
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