... definition of hfold requires the auxiliary func- tion hmap , and hmap cannot easily be defined from hfold . ( 2 ) ... dependently typed fold below. We present a new approach to defining fold functions for nested data types , which we ...
... dependently typed definition of matrices—by using Coq's Program feature.) Although the correctness proof of our algorithm heavily relies on matricial reasoning, and in particular block matrix decompositions, we have not found major ...
... definition by dependently-typed case anal- ysis can be expressed by means of a set of equations — the semantic approach — or by an explicit pattern-matching construction — the syn- tactic approach. We aim at putting together the best of ...
... Definition 1 , then to say that a dimension is dependently measurable implies that it is independently measurable . That is to say , it cannot be true that a dimension is both incapable of independent measurement and capable of dependent ...
... Definition 20 ( Dependent hyperimmunity ) . A formula 4 ( U , V ) is essen- tial if for every x E w , there is a finite set R > x such that for every y Є w , there is a finite set S > y such that ( R , S ) holds . A pair of sets Ao , A1 ...
... dependently dominated by any k sk(S). Proof: By the definitions of Maxdist(.) and Mindist(.), Maxdist(q, MBR( ) d(L ... definition of lsk(S, q). First, it is self-evident by Lemma 1 that t is not location-dependently dominated by ...
... definition . Generic programming is a natural example of dependently - typed programming . The features of dependently - typed languages , such as type - level computation and type - refining pattern matching , directly support the ...
The book also offers a library of tactics, or programs that find proofs, designed for use with examples in the book. Readers will acquire the necessary skills to reimplement these tactics in other settings by the end of the book.
... dependently imputed emptiness of outer phenomena . Let's give a working definition of dependently imputed emptiness . Because the shravakas and pratyekabuddhas realize emptiness of the self , they must impute ( meaning to mentally imply ...
... definition, but for the purposes of this book I want readers to understand that when I talk about human persons I mean something specific. This book presup- posed that human beings have certain capacities and are, by definition, dependently ...