Semantic Pattern Matching In Mathematica
Date: July 19th (Friday)
Time: ??.??
Abstract
This talk presents a novel extension to the Mathematica language
to allow semantic pattern matching. We present examples of semantic pattern
matching that demonstrate the full range of abilities of this semantic
extension. Semantic patterns function correctly with single patterns, free
symbols, structural symbols, constrained patterns in particular
PatternTests, Conditions and Optionals, nonlinear semantic patterns, named
pattern objects, assignments and transformation rules. In short semantic
patterns uniformly extended the normal pattern matching mechanisms in
Mathematica.
Semantica compiles semantic patterns into corresponding syntactic patterns,
which then function at the normal speed of Mathematica. Semantic patterns
integrate rewriting, algebraic unification, and equational solving in an
intuitive and seamless way.
