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