Examples of using Combinatory in English and their translations into Croatian
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Combinatory logic in mathematics.
(1972) survey the early history of combinatory logic.
The combinatory versions have T K and F K I.
Einstein described his scientific method as combinatory play.
Combinatory logic- Wikipedia, the free encyclopedia.
Dana Scott in the 1960s and 1970s showed how to marry model theory and combinatory logic.
Combinatory logic- Wikipedia, the free encyclopedia.
Curry and Feys(1958), and Curry et al.(1972)survey the early history of combinatory logic.
Despite its simplicity, combinatory logic captures many essential features of computation.
And this has undoubtedly been an important contribution to the enthusiasm of many of those of us working in combinatory logic.
His early work on Combinatory Topology has exercised a decisive influence on the development of that subject.
Many early papers by Curry showed how to translate axiom sets for conventional logic into combinatory logic equations Hindley and Meredith 1990.
Hence combinatory logic has been used to model some non-strict functional programming languages and hardware.
In the latter 1930s, Alonzo Church and his students at Princeton invented a rival formalism for functional abstraction, the lambda calculus,which proved more popular than combinatory logic.
Are a more formal introduction to combinatory logic, with a special emphasis on fixed point results.
Combinatory logic was originally intended as a'pre-logic' that would clarify the role of quantified variables in logic, essentially by eliminating them.
Two special cases, rules 3 and 4, are trivial: λx.x is clearly equivalent to I, and λx.E is clearly equivalent to(K T) if x does not appear free in E. The first tworules are also simple: Variables convert to themselves, and applications, which are allowed in combinatory terms, are converted to combinators simply by converting the applicand and the argument to combinators.
A gentle introduction to combinatory logic, presented as a series of recreational puzzles using bird watching metaphors. 1994.
Combinatory logic can be viewed as a variant of the lambda calculus, in which lambda expressions(representing functional abstraction) are replaced by a limited set of combinators, primitive functions from which bound variables are absent.
For a more modern parallel treatment of combinatory logic and the lambda calculus, see Barendregt(1984), who also reviews the models Dana Scott devised for combinatory logic in the 1960s and 1970s.
Combinatory logic was developed with great ambitions: understanding the nature of paradoxes, making foundations of mathematics more economic(conceptually), eliminating the notion of variables(thus clarifying their role in mathematics). μ-recursive functions A computation consists of a μ-recursive function, i.e. its defining sequence, any input value(s) and a sequence of recursive functions appearing in the defining sequence with inputs and outputs.
In computer science, combinatory logic is used as a simplified model of computation, used in computability theory and proof theory.