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Ladder logic is widely used to program PLCs, where sequential control of a process or manufacturing operation is required. Ladder logic is useful for simple but critical control systems or for reworking old hardwired relay circuits. As programmable logic controllers became more sophisticated it has also been used in very complex automation systems.
In the mathematical field of graph theory, the ladder graph L n is a planar, undirected graph with 2n vertices and 3n – 2 edges. [ 1 ] The ladder graph can be obtained as the Cartesian product of two path graphs , one of which has only one edge: L n ,1 = P n × P 2 .
For symbols that are used only in mathematical logic, or are rarely used, see List of logic symbols. ¬ Denotes logical negation, and is read as "not". If E is a logical predicate, is the predicate that evaluates to true if and only if E evaluates to false. For clarity, it is often replaced by the word "not".
Function Block Diagram is one of five languages for logic or control configuration [2] supported by standard IEC 61131-3 for a control system such as a programmable logic controller (PLC) or a Distributed Control System (DCS). The other supported languages are ladder logic, sequential function chart, structured text, and instruction list.
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
Ladder diagram may refer to: Message sequence chart, in Unified Modeling Language (UML) Ladder logic, a method of drawing electrical logic schematics. A ladder diagram represents a program in ladder logic. A method of juggling notation; One type of Feynman diagram
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Ladder scheme may refer to: Relay Ladder Logic, a ladder logic flow chart; Matrix scheme, a controversial (and in some places illegal) business model