... 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 ...
... means , “ in- dependently of all other causes " ; the death being the proximate result of the injury , and not of the disease as an independent cause . French v . Fidelity & Casualty Co. of New York , 115 N. W. 869 , 874 , 135 Wis . 259 ...
... definition , this pre- cludes nonverbal information from covering features other than medium - de- pendent ones : nonverbal signs solely refer to presentational aids which are perceived either visually or acoustically , and by which ...
... 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 ...
... 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 ...
... 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 2. A knowledge base KB is classically inconsistent iff KB has no classical model. A knowledge base which ... dependently inconsistent with respect to D, denoted D-inconsistent, if KB has no classical model with respect ...
... 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 ...
... dependent types . Luckily , the details are not so important here ; types alone indicate that insertion preserves balancedness , and we will prove that insertion produces trees containing the right keys . Definition balance1 n ( a ...