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It is well known that, given an endofunctor on a category , the initial -algebras (if existing), i.e., the algebras of (wellfounded) -terms over different variable supplies , give rise to a monad with substitution as the extension operation (the free monad induced by the functor ). Moss [17] and Aczel, Adámek, Milius and Velebil [2] have shown that a similar monad, which even enjoys the additional special property of having iterations for all guarded substitution rules (complete iterativeness),...
It is well known that, given an endofunctor H on a category C ,
the initial (A+H-)-algebras (if existing), i.e. , the algebras
of (wellfounded) H-terms over different variable supplies A,
give rise to a monad with substitution as the extension operation
(the free monad induced by the functor H). Moss [17]
and Aczel, Adámek, Milius and Velebil [12] have shown
that a similar monad, which even enjoys the additional special
property of having iterations for all guarded substitution rules
(complete...
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