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