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{{Normal forms in logic | state = collapsed}} will show the template collapsed, i.e. hidden apart from its title bar. {{Normal forms in logic | state = expanded}} will show the template expanded, i.e. fully visible. This template organizes various normal forms used in logic, split into three categories: propositional logic, predicate logic, and ...
A Tsetlin machine is a form of learning automaton collective for learning patterns using propositional logic. Ole-Christoffer Granmo created [1] and gave the method its name after Michael Lvovitch Tsetlin, who invented the Tsetlin automaton [2] and worked on Tsetlin automata collectives and games. [3]
A graphical representation of a partially built propositional tableau. In proof theory, the semantic tableau [1] (/ t æ ˈ b l oʊ, ˈ t æ b l oʊ /; plural: tableaux), also called an analytic tableau, [2] truth tree, [1] or simply tree, [2] is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. [1]
propositional logic, sentential logic, propositional calculus, sentential calculus, statement logic, statement calculus propositional logic first-order predicate logic, first-order logic, predicate logic, argument, input value, output formal system, logical system, logistic system, logical calculus, logic
Depending on the underlying logic, the problem of deciding the validity of a formula varies from trivial to impossible. For the common case of propositional logic, the problem is decidable but co-NP-complete, and hence only exponential-time algorithms are believed to exist for general proof tasks.
In this example propositional logic assertions are checked using functions to represent the propositions a and b. The following Z3 script checks to see if a ∧ b ¯ ≡ a ¯ ∨ b ¯ {\displaystyle {\overline {a\land b}}\equiv {\overline {a}}\lor {\overline {b}}} :
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