Category:Definitions/Propositional Logic
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This category contains definitions related to Propositional Logic.
Related results can be found in Category:Propositional Logic.
Propositional logic is a sub-branch of symbolic logic in which the truth values of propositional formulas are investigated and analysed.
The atoms of propositional logic are simple statements.
There are various systems of propositional logic for determining the truth values of propositional formulas, for example:
- Natural deduction is a technique for deducing valid sequents from other valid sequents by applying precisely defined proof rules, each of which themselves are either "self-evident" axioms or themselves derived from other valid sequents.
- The Method of Truth Tables, which consists of the construction of one or more truth tables which exhaustively list all the possible truth values of all the statement variables with a view to determining the required answer by inspection.
Subcategories
This category has the following 18 subcategories, out of 18 total.
B
- Definitions/Biconditional (12 P)
- Definitions/Bottom (3 P)
C
- Definitions/Conjunction (14 P)
- Definitions/Contradiction (8 P)
D
- Definitions/Disjunction (15 P)
E
- Definitions/Exclusive Or (8 P)
I
- Definitions/Implication (40 P)
L
- Definitions/Logical Axiom Systems (empty)
- Definitions/Logical NAND (7 P)
- Definitions/Logical Negation (6 P)
- Definitions/Logical NOR (6 P)
N
P
T
- Definitions/Top (3 P)
- Definitions/Truth Tables (35 P)
Pages in category "Definitions/Propositional Logic"
The following 80 pages are in this category, out of 80 total.
A
B
C
- Definition:Classical Propositional Logic
- Definition:Closed Tableau
- Definition:Complementary Pair
- Definition:Completed Tableau
- Definition:Conjunction
- Definition:Conjunctive Normal Form
- Definition:Consistent (Logic)/Proof System/Propositional Logic
- Definition:Consistent (Logic)/Proof System/Propositional Logic/Definition 1
- Definition:Consistent (Logic)/Proof System/Propositional Logic/Definition 2
- Definition:Consistent (Logic)/Set of Formulas/Propositional Logic
- Definition:Consistent (Logic)/Set of Formulas/Propositional Logic/Definition 1
- Definition:Consistent (Logic)/Set of Formulas/Propositional Logic/Definition 2
- Definition:Corresponding Conditional
G
- Definition:Gentzen Proof System
- Definition:Gentzen Proof System/Instance 1
- Definition:Gentzen Proof System/Instance 1/Alpha-Rule
- Definition:Gentzen Proof System/Instance 1/Alpha-Rule/Notation
- Definition:Gentzen Proof System/Instance 1/Beta-Rule
- Definition:Gentzen Proof System/Instance 1/Beta-Rule/Notation