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