... 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 ...

... definition , this pre- cludes nonverbal information from covering features other than medium - de- pendent ones ... dependently , and thus allow for a broad range of idiosyncratic variation . Being concomitant with the phonic ...

... dependently originates from the five aggregates. Therefore, the human self is dependent on the other functions to exist and therefore has no ... independent existence and dependent existence. The Definition of Existence (Esse) 3.

... 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 ...

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.

... 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 ...

... mean dependence. Reification views everything as intrinsic or independent. Whatever exists independently, by definition, is not dependent. Therefore, nothing could be in relationship. Since everything exists in dependence, reification ...

... dependently arisen phenomena . Claiming that emptiness and dependently arisen phenomena are mutually entailing , on the other hand , means that an enlightened being , lacking any experience of dependently arisen phenomena , could have ...

... 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 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 ...