Functionality in combinatory logic
Functionality in combinatory logic
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DOI:
10.1073/pnas.20.11.584
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发表时间:
1934-01-01
影响因子:
11.1
通讯作者:
Curry, HB
中科院分区:
文献类型:
--
作者:
Curry, HB
1. Introduction.-In an attempt to resolve the foundations of logic and mathematics into their elements, it has occurred to several persons that certain notions, ordinarily taken as primitive, could be analyzed into constituents of much simpler nature. Among such notions are, on the one hand, various processes of substitution, and the use of variables generally; and, on the other hand, the categories of logic-such as propo-sition, propositional function and the like-together with the intuitions by which we tell what entities belong to them. For a theory concerned with an analysis of these notions I have proposed the name combinatory logic (Amer. Jour. Math., 52, 511 (1930)). This is