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