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