Exercise logic.propositional.dnf
Description
Proposition to DNF
Firsts
Rule | logic.propositional.idempand |
Location | [1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p
ready: no
Rule | logic.propositional.absorpand |
Location | [1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (F || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.absorpand |
Location | [1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ~F) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.complor |
Location | [1,1,0,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || (T /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.falsezeroand |
Location | [1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (F || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.complor |
Location | [1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ ((T /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ ((~F /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,0,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || (~F /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,0,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || T) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,0,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || T) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ T)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.nottrue |
Location | [1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~F /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ T /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ (F || ~~p) /\ ~q /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,1,1,1,1,1,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~(~~p /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1,0,0,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || p) /\ ~q) /\ ~q /\ T /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p
ready: no
Rule | logic.propositional.idempand |
Location | [1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ p /\ T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
((T /\ q) || ~r) /\ p /\ (((F || ~F) /\ F) || ((F || ~F) /\ ~F)) /\ ~~T /\ ~F /\ ~q /\ ~~~~(p /\ ~q) /\ ~~((F || ~~p) /\ ~q) /\ ~q /\ T /\ T /\ p
ready: no