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Herbert Bruce Enderton (April 15, 1936 – October 20, 2010) [1] was an American mathematician. He was a Professor Emeritus of Mathematics at UCLA and a former member of the faculties of Mathematics and of Logic and the Methodology of Science at the University of California, Berkeley .
Barton Paul Levenson (born May 9, 1960) is an American writer of science fiction, fantasy and the macabre. [1] He is author of eight novels and over 80 short stories, articles, reviews and other publications.
Mathematical logic, also called 'logistic', 'symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the nineteenth century with the aid of an artificial notation and a rigorously deductive method. [5]
Elliott Mendelson (2005). Book Review: Igor Lavrov, Larisa Maksimova, Problems in Set Theory, Mathematical Logic and the Theory of Algorithms, Edited by Giovanna Corsi, Kluwer Academic / Plenum Publishers, 2003, Us$141.00, Pp. XII + 282, ISBN 0-306-47712-2, Hardbound. Studia Logica 79 (3). Elliott Mendelson (2000). Critical Studies/Book Reviews.
An "extensional stance" and restriction to a second-order predicate logic means that a propositional function extended to all individuals such as "All 'x' are blue" now has to list all of the 'x' that satisfy (are true in) the proposition, listing them in a possibly infinite conjunction: e.g. x 1 ∧ x 2 ∧ . . . ∧ x n ∧ . . ..
This branch of computability theory analyzed the following question: For fixed m and n with 0 < m < n, for which functions A is it possible to compute for any different n inputs x 1, x 2, ..., x n a tuple of n numbers y 1, y 2, ..., y n such that at least m of the equations A(x k) = y k are true. Such sets are known as (m, n)-recursive sets.
The provability logic GL that results from taking the modal logic K4 (or K, since the axiom schema 4, , then becomes redundant) and adding the above axiom GL is the most intensely investigated system in provability logic.
Robert Stanley "Bob" Barton (February 13, 1925 – January 28, 2009) was the chief architect of the Burroughs B5000 and other computers such as the B1700, a co-inventor of dataflow architecture, and an influential professor at the University of Utah.