Go backward to
Theory
Go up to
Top
Go forward to
Explicit Predicate Definitions
Extending Theories
Definition: definition
A statement that introduces into a theory a new constant and additional axioms.
Restriction: no formula can be derived in new theory that could not be derived from orginal theory (
consistency
).
Example
: Real Numbers
Unary function constant | |.
forall
x
: 0 <=
x
=> |
x
| =
x
forall
x
:
x
<=
0
=> |
x
| = -
x
Author:
Wolfgang Schreiner
Last Modification: October 14, 1999