Tutorial 15 Elementary derivations in predicate logic.

The Tutorial

The propositional rules of derivation carry over unchanged into Predicate Logic

Exercises to accompany Predicate Tutorial 5

Exercise 1 (of 1).

Proofs

Your browser is not displaying the Deriver applet. Try downloading Deriver itself by clicking on the link elsewhere on the page.

The propositional rules of inference are used unchanged in predicate logic.

Derive

a) Fa ∴ ∼ ∼ Fa

b) ∴ ∼ (Fb∧ ∼ Fb)

c) ∼ Fm∧ ∼ Gn∴ ∼ (Fm∨Gn)

d) (Fa∧Fa)∨(Gb∧Gb)∴ Fa∨Gb

e) Fb⊃(Ga⊃Hc), Fb⊃Ga ∴ Fb⊃Hc

f) Fa∨Gb, Gb⊃Hd ∴ ( ∼ Fa⊃Hd)

g) (Fa⊃Gb)∧(Gb⊃Fa) ∴ Fa≡Gb

Easy Deriver Documentation ©1991-2008 Martin Frické, SoftOption™ Ltd (NZ). Easy Deriver is formed out of Deriver(Generic) Program Units. Deriver(Generic) Program Units ©1987-2008 Martin Frické, SoftOption™ Ltd (NZ). Licenced to SoftOption™ Ltd (NZ).

Should you find any bugs in Easy Deriver, please tell us about them.  (Try to reproduce them, then note their exact symptoms. Send the information to support(at)SoftOption.Us)

NO WARRANTY OR REPRESENTATION IS MADE, EITHER EXPRESSED OR IMPLIED, WITH RESPECT TO THIS SOFTWARE AND DOCUMENTATION, THEIR QUALITY, THEIR PERFORMANCE, THEIR MERCHANTABILITY, OR THEIR FITNESS FOR A PARTICULAR PURPOSE, AS A RESULT, THIS SOFTWARE IS SOLD OR OFFERED 'AS IS' AND YOU THE PURCHASER OR USER ARE ASSUMING THE ENTIRE RISK AS TO THEIR QUALITY AND TO THE SOFTWARE'S PERFORMANCE.