Category:Definitions/Proof Systems
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This category contains definitions related to Proof Systems.
Related results can be found in Category:Proof Systems.
A proof system $\mathscr P$ for $\LL$ comprises:
- Axioms and/or axiom schemata;
- Rules of inference for deriving theorems.
It is usual that a proof system does this by declaring certain arguments concerning $\LL$ to be valid.
Informally, a proof system amounts to a precise account of what constitutes a (formal) proof.
Subcategories
This category has the following 5 subcategories, out of 5 total.
I
L
P
R
Pages in category "Definitions/Proof Systems"
The following 58 pages are in this category, out of 58 total.
A
C
- Definition:Complete Proof System
- Definition:Complete Proof System/Strongly Complete
- Definition:Consistent (Logic)
- Definition:Consistent (Logic)/Proof System
- 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
- 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:Consistent Proof System
- Definition:Consistent Proof System/Also defined as
- Definition:Consistent Set of Formulas
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