1. <*theory*> In domain theory, the sum A + B of two domains
contains all elements of both domains, modified to indicate
which part of the union they come from, plus a new bottom
element. There are two constructor functions associated with
the sum:

inA : A -> A+B inB : B -> A+B inA(a) = (0,a) inB(b) = (1,b)and a disassembly operation:

case d of {isA(x) -> E1; isB(x) -> E2}This can be generalised to arbitrary numbers of domains.

See also smash sum, disjoint union.

2. <*tool*> A Unix utility to calculate a 16-bit checksum of
the data in a file. It also displays the size of the file,
either in kilobytes or in 512-byte blocks. The checksum may
differ on machines with 16-bit and 32-bit ints.

Last updated: 1995-03-16

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**Nearby terms:**
suit « suitably small « Suite Synthetique des Benchmarks de l'AFUU « **sum** » Summary Object Interchange Format » SUMMER » SUMMER SESSION

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Copyright Denis Howe 1985