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In a synchronous circuit, an electronic oscillator called a clock (or clock generator) generates a sequence of repetitive pulses called the clock signal which is distributed to all the memory elements in the circuit. The basic memory element in synchronous logic is the flip-flop. The output of each flip-flop only changes when triggered by the ...
Logical consequence (also entailment or logical implication) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement logically follows from one or more statements.
A sequent of the form ' ⊢ α, β ', for logical formulas α and β, means that either α is true or β is true (or both). But it does not mean that either α is a tautology or β is a tautology. To clarify this, consider the example ' ⊢ B ∨ A, C ∨ ¬A '.
An infinite sequence of real numbers (in blue). This sequence is neither increasing, decreasing, convergent, nor Cauchy. It is, however, bounded. In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms).
Logic studies valid forms of inference like modus ponens.. Logic is the study of correct reasoning.It includes both formal and informal logic.Formal logic is the study of deductively valid inferences or logical truths.
The sequent calculus is a formal system that represents logical deductions as sequences or "sequents" of formulas. [100] Developed by Gerhard Gentzen, this approach focuses on the structural properties of logical deductions and provides a powerful framework for proving statements within propositional logic. [100] [101]
Temporal logic has two kinds of operators: logical operators and modal operators. [17] Logical operators are usual truth-functional operators (,,,). The modal operators used in linear temporal logic and computation tree logic are defined as follows.
The process of performing a sequence of calculations or logical operations systematically to obtain a result. concept An abstract idea representing the fundamental characteristics of what it describes. conclusion The statement that logically follows from the premises of an argument, serving as the argument's final claim. concrete object