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  2. Template:Normal forms in logic - Wikipedia

    en.wikipedia.org/wiki/Template:Normal_forms_in_logic

    {{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 ...

  3. Method of analytic tableaux - Wikipedia

    en.wikipedia.org/wiki/Method_of_analytic_tableaux

    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]

  4. List of axiomatic systems in logic - Wikipedia

    en.wikipedia.org/wiki/List_of_axiomatic_systems...

    Classical propositional calculus is the standard propositional logic. Its intended semantics is bivalent and its main property is that it is strongly complete, otherwise said that whenever a formula semantically follows from a set of premises, it also follows from that set syntactically. Many different equivalent complete axiom systems have ...

  5. Automated theorem proving - Wikipedia

    en.wikipedia.org/wiki/Automated_theorem_proving

    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.

  6. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    It is also called propositional logic, [2] statement logic, [1] sentential calculus, [3] sentential logic, [4] [1] or sometimes zeroth-order logic. [ b ] [ 6 ] [ 7 ] [ 8 ] Sometimes, it is called first-order propositional logic [ 9 ] to contrast it with System F , but it should not be confused with first-order logic .

  7. Z3 Theorem Prover - Wikipedia

    en.wikipedia.org/wiki/Z3_Theorem_Prover

    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}}} :

  8. Propositional formula - Wikipedia

    en.wikipedia.org/wiki/Propositional_formula

    In propositional logic, a propositional formula is a type of syntactic formula which is well formed. If the values of all variables in a propositional formula are given, it determines a unique truth value. A propositional formula may also be called a propositional expression, a sentence, [1] or a sentential formula.

  9. Satisfiability modulo theories - Wikipedia

    en.wikipedia.org/wiki/Satisfiability_modulo_theories

    In computer science and mathematical logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable.It generalizes the Boolean satisfiability problem (SAT) to more complex formulas involving real numbers, integers, and/or various data structures such as lists, arrays, bit vectors, and strings.