Open AccessRealization of Coinductive Types
Author(s) -
Dexter Kozen
Publication year - 2011
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.2011.09.024
Subject(s) - coinduction , realization (probability) , mathematics , programming language , computer science , algebra over a field , calculus (dental) , pure mathematics , mathematical proof , statistics , geometry , medicine , dentistry
We give an explicit combinatorial construction of final coalgebras for a modest generalization of polynomial functors on Set. Type signatures are modeled as directed multigraphs instead of endofunctors. The final coalgebra for a type signature F involves the notion of Brzozowski derivative on sets of paths in F
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