This article is not about combinatory logic, a topic in mathematical logic. Combinatory logic is a notation introduced by Moses Schönfinkel and Haskell Curry to eliminate the need for variables in mathematical logic. ... Mathematical logic is a discipline within mathematics, studying formal systems in relation to the way they encode intuitive concepts of proof and computation as part of the foundations of mathematics. ...
In digital circuit theory, combinatorial logic (also called combinational logic) is a type of logic circuit whose output is a function of only the present input. This is in contrast to sequential logic, in which the output depends not only on the present input but also on the history of the input. Digital circuits are electric circuits based on a number of discrete voltage levels. ... In digital circuit theory, sequential logic is a type of logic circuit whose output depends not only on the present input but also on the history of the input. ...
In other words, sequential logic has memory while combinatorial logic does not. To meet Wikipedias quality standards, this article or section may require cleanup. ...
Combinatorial logic is used in computer circuits to do boolean algebra on input signals and on stored data. Practical computer circuits normally contain a mixture of combinatorial and sequential logic. For example, the part of an arithmetic logic unit, or ALU, that does mathematical calculations is made from combinatorial logic, although the ALU is controlled by a sequencer that is made from sequential logic. A drawing of a desktop computer. ... Wikibooks has more about Boolean logic, under the somewhat misleading title Boolean Algebra For a basic intro to sets, Boolean operations, Venn diagrams, truth tables, and Boolean applications, see Boolean logic. ... ALU redirects here. ...
Combinatorylogic was intended as a simple 'pre-logic' which would clarify the meaning of variables in logical notation, and indeed eliminate the need for them.
In computer science, combinatorylogic is used as a simplified model of computation, used in computability theory (the study of what can be computed) and proof theory (the study of what can be mathematically proven.) The theory, despite its simplicity, captures many essential features of the nature of computation.
Combinatorylogic can be looked at as a variation of the lambda calculus, in which lambda expressions (used to allow for functional abstraction) are replaced by a limited set of combinators, primitive functions which contain no free variables.
This is in contrast to sequential logic, in which the output depends not only on the present input but also on the history of the input.
Combinatoriallogic is used in computer circuits to do boolean algebra on input signals and on stored data.
For example, the part of an arithmetic logic unit, or ALU, that does mathematical calculations is made from combinatoriallogic, although the ALU is controlled by a sequencer that is made from sequential logic.
Feeds |
Contact