LTL to English

Welcome

This file contains anonymized, hand-labeled responses to the first segment of our Spring 2021 LTL/Electrum Survey.

Participants received the following instructions:

  Describe the following Electrum formulas in English.

  Aim for short, illustrative sentences. For example:
  - formula: always { Blue not in Panel.lit}
  - English: "The Blue light is never on."

  For reference, the ANON template is here:
  HIDDEN FOR DOUBLE BLIND REVIEW



Q2.3

Red in Panel.lit implies
  after {
    after {
      after { Red in Panel.lit } } }
Aif Red is initially lit, then it is also lit after three steps

47 / 57 students correct (82%)

4.40 overall average confidence


correct, N = 46
917u    5    If the red light is on then three states from now it must be on   
qMyf    4    If the Red light is on (now/in the first slot?), then three steps later, it will be on again.   
gbrV    5    If the Red light is on right now, it will be on in 3 time steps from now   
rahc    5    If Red is lit in the current state, then on the third state after the current one Red is also lit.   
N3Cw    4    If the Red light is on in this state, the Red light will also be on three states after this state.   
ydkm    4    If the red light is on in the state 0, then in state 3 the red light must be on.   
c9jy    4    If the red light is on, it will be on three turns after this one.   
ptyk    5    If in the current state, the Red light is on, then in the state 3 states later, the Red light will be on.   
KXjz    4    If the red right is lit, then it will also be lit after three states.   
mxad    4    If Red is lit now, it will also be lit 3 states from now.   
rnC9    5    If the red light is on during the initial state, then three time steps later the red light is also on.   
8E1h    4    If the Red light is lit, then the Red light will be lit in three light changes from now.   
sain    5    if the light is red it will be red again after 3 change of states   
nieh    5    If the red light is on, then it will be on again in 3 turns.   
uOG8    3    If the red light is on, it will be on in the third trace afterwards   
fsqw    5    If the red light in on initially, then the red light is on in the fourth state.   
dznh    4    If the Red light is on, it will be on 3 states in the future.   
7opy    5    If the Red light is on now, it will be one after 3 transitions.   
vz2g    4    The red light currently being on means it will be on in the third state after the current one.   
cirf    5    If the red light is lit in the current state, it will be lit again after three transitions (no constraints on the red light in between).   
fojf    4    If the Red light is on, then the Red light will be on during the state that is three states in the future. If the Red light is not on, this no other conditions need to be met.   
7jm2    4    If the Red light is on now, then the Red light will be on in 3 time units.   
eolW    5    If the Red light is on, it will be on again after 3 traces.   
c1fn    5    If the red light is on, it will also be on after three turns (units of time corresponding to state changes).   
nr65    4    If Red is lit in the current state, it will be lit in 3 states.   
able    5    if the red light is lit in the current panel it should be lit after three states too.   
1vwv    5    If the Red light is currently on, then it will be on 3 states in the future.   
yoxy    4    When the red light is on in the current state, it's on 3 states in the future.   
xqZA    3    If the Red light is on initially, then it will also be on in 3 time steps.   
bx1r    5    If the red light is on, after 3 state changes (presumably light changes), the red light will be on again   
w4t3    4    If the red light is on, then the red light is on 3 states later.   
clU0    5    If the Red light is on right now, then it is also on 3 time steps in the future.   
ndij    5    If the red light is on right now, then after three states, the red light will also on.   
tyos    5    If the red panel is lit, then the red panel must also be lit after 3 state transitions.   
ekny    5    If the Red light is on now, it will be on again after 3 states.   
hDZG    5    If the red light is on, it will also be on three states in the future.   
yypq    4    If the light is red right now, it will be red again in 3 time steps.   
pfdd    4    If the Red light is currently lit, it will also be lit in three time steps.   
j9mq    3    If the red light is on, then it will also be on three time steps into the future.   
j7t9    5    if red light is on, then after 3 states, red light is on   
n4vd    5    If the red panel is lit then it will also be lit three instances from now.   
qjpx    5    If the current panel has Red lit, then Red is lit exactly three states after   
kuaa    3    If the Red light is currently only, the Red light will also be on 3 states later.   
XLuy    3    The red light being lit means that it will also be lit after 3 instances.   
xeec    5    If the Red light is on, it will be on again in three states.   
duq8    4    If the panel's light is currently red, then the panel's light will be red again 3 turns later.   
borderline correct, N = 1
bxd4    5    When the red light is currently on, the next next next light will be red. ~= (If we call the current state as i, and if red light is currently on in state i, the red light will also be on in the state i+3)   
incorrect, implicit global, N = 7
iVk5    4    Each time the red light is on, the red light must be on three traces later.   
m0p6    5    The red light will be lit every 3 time units given it is lit once at all.   
DzoD    4    The red light is on 3 states following being on previously. (it blinks or is consistently on)   
XU9x    4    Whe the Red panel is lit, it will be lit again in 3 turns. (can you all them turns?)   
zf66    5    If the red light is lit at a given timestep, it will also be lit 3 turns later   
s0nv    5    After a red light, three turns later there will be another red light.   
31qw    5    Whenever the red light is on, in the next of next of next state, the red light is also on.   
incorrect, implicit global + Red now, N = 1
55oa    3    There is a Red light guaranteed on every 3rd cycle   
incorrect, XX vs XXX, N = 1
kkzx    3    If the red light is on, then the red light will be on after two other turns.   
incorrect, implicit toplevel F + XX vs XXX + X spans, N = 1
3r04    5    If in one state Red is in the Panel.lit, it will also in the Panel.lit in the two states after.   



Q2.7

after {
  after {
    eventually {
      after { Red in Panel.lit } } } }
ARed is lit after 3 or more steps

48 / 57 students correct (84%)

3.63 overall average confidence


correct, N = 48
917u    3    Two states from now there will be some future state such that the state after it will have the red light on. To put in more mathematical terms (sorry) but in pseudo English : If the current state is i then there is a state i+2 and a state x such that x is greater than or equal to i+2 such that in x+1 the red light is on   
qMyf    4    After the first two steps, there will be a step at which the Red light will be on directly after.   
gbrV    4    after 2 time steps, there is eventually a state x such that in the step after x, the red light is on   
rahc    4    Two states after the current state, eventually there will be a state in whose following state the red light is lit.   
N3Cw    3    At least three states after the current state, the Red light will be on.   
ydkm    3    There is a state i, for i greater than equal to 2, where the next state has a Red light lit.   
31qw    5    There is some state, excluding the first two states, in which the next state has the red light on.   
c9jy    3    The red light will be on at some point after at least three turns.   
ptyk    4    Assuming the current state is state i, beginning in state i+2, there will be a state >= i+2 in which the Red light is on in the next state.   
KXjz    3    The red light will be lit after three or more states.   
iVk5    4    The red light must be on for at least one trace where the trace is preceded by at least 3 traces.   
mxad    3    Starting 3 states from now, at some point the red light will be on.   
rnC9    5    Two time steps after the initial state, there will be a state where the red light is just about to turn on   
sain    5    after 3 change of states the light will eventually become red   
nieh    4    After 2 turns (on the third state), the Red light will be on at some point in the future excluding the next turn (third turn).   
fsqw    5    The red light is on in some state after and including the fourth state.   
dznh    4    The Red light will be on at some point at least 3 states in the future.   
7opy    5    The Red light will be on after at least 3 transitions.   
55oa    2    In 2 states, there will be a Red light one or more states away   
vz2g    4    At some point after the second state after the current, Red will be lit, i.e. there will be some state from 3->infinity (0 being the current) that has Red lit.   
cirf    4    The red light is lit at some point after the third state.   
fojf    3    Starting in the state that is two states in the future, there will be some state at that time or at a later time such that the Red light is lit in the following state   
7jm2    4    The Red light will be on sometime after 3 time units.   
eolW    4    The Red light will eventually be on, on the 3rd trace or later.   
c1fn    4    There exists some state (suppose its index is s), at or after two states beyond the current state, such that the red light is on in the (s + 1)th state.   
nr65    3    In 2 states, there will eventually be some state whose succeding state has Red lit.   
m0p6    5    After 3 time units, the red light will be lit on the panel at some point in the future   
able    3    After two states and the red light is lit eventually after one other state   
1vwv    4    Two states in the future, the Red light will eventually be on in the next state (i.e. the Red light will definitely be on at least 3 states in the future).   
yoxy    4    In two states from the current state, in some future state, the state after that state will have the red light on.   
DzoD    3    Red light will be on at some point following 3 states from now   
xqZA    3    The Red light will be on at some point after 3 time steps.   
bxd4    3    At any state, the next next state "i" has a possibility that the red light is on some point after that state("i"). ~= (for any state i, the red light is (guaranteed to be) on at some point starting from i+3) ~= (the red light is on some point after after after the first state.)   
bx1r    4    After two state changes, there will eventually be a state such that in the next, the red light will be on   
clU0    4    2 time steps in the future, it will be the case that, eventually, the Red light is on in the next time step.   
ndij    3    Starting from the 4th state, the red light will eventually turn on at some point.   
tyos    4    after 2 state transitions, it must be the case that eventually you will find a state after which the red panel is lit.   
ekny    4    In two states, there will eventually be a state where the Red light is on in the next state.   
hDZG    4    Sometime after the first three states, the red light will be on.   
zf66    4    The red light will be lit at at least one time step after the third timestep.   
yypq    3    after 2 time steps, the red light will turn on after 1 time step eventually   
pfdd    4    At some point after two time steps have passed, the Red light will be about to be lit.   
s0nv    3    The red light will appear at least three turns later.   
j7t9    5    there is some state after the first 3 states, such that the red light is on   
qjpx    3    Red is lit sometime from the fourth states (from the beginning) onward   
duq8    4    After the two initial turns, there will eventually be a turn whose next turn has red light in the panel.   
8E1h    3    At some point, the Red light is lit in the next light change.   
xeec    3    In the third state, there will eventually be a Red light   
incorrect, drop inner X, N = 7
3r04    4    After two states, the Red will in the Panel.lit in the end.   
XU9x    4    The red panel will be lit sometime after 2 turns.   
j9mq    4    The red light is on at least once in the future beyond the next 2 time steps.   
n4vd    3    There is some instance where the red panel is lit which is not the first or second instance.   
kuaa    4    After two states, Red will eventually be in Panel.lit   
XLuy    1    After two instances of the red light being lit   
w4t3    3    Two states later, there will eventually be a state where the red light will turn on.   
incorrect, drop all X, N = 2
uOG8    3    eventually at some point in the future, the red light will be on   
kkzx    2    The red light will eventually be on.   



Q2.11

eventually { Red in Panel.lit } implies
  always { Blue in Panel.lit }
Aif Red is eventually lit then Blue is always lit

48 / 57 students correct (84%)

4.26 overall average confidence


correct, N = 45
917u    4    If the red light will be on now or in some future state that means the blue light must always be on.   
qMyf    5    If the Red light will be on in the future, then the Blue light is always on.   
gbrV    5    If there eventually exists a state where the red light is on, then the blue light needs to be always on   
rahc    3    If the red light is eventually lit at some point in the future, then blue light is always lit from now till the end.   
N3Cw    4    If there is a current or future state where the Red light is on, then the Blue light is always on in all states.   
31qw    5    If red is ever going to be on, then blue is always on.   
c9jy    4    If the red light turns on at some point, then the blue light is on.   
ptyk    5    If there exists some state now or in the future in which the Red light is on, then the Blue light is always on (beginning now, not when the Red light is on)   
KXjz    5    If the red light is ever lit, then the blue light will always be lit.   
iVk5    5    If the red light ever turns on, the blue light is always on.   
mxad    4    Blue is always lit (starting now) if red ever turns on.   
rnC9    5    If the red light is going to turn on then the blue light is always on   
8E1h    4    if the Red light is lit at some point, then the Blue light will be lit though out all of the possible states   
sain    3    if the light becomes red then the light will always be blue   
nieh    5    If the red light will be on at some point in the future, then the blue light is always on.   
fsqw    5    If the red light ever turns on, then the blue light must always be on.   
7opy    3    If the Red light is on or will be on, the Blue light is always on.   
55oa    4    The Blue light is on as long as the Red light will be on at some point   
vz2g    4    If Red is lit at some point in the future, then Blue must always be lit.   
fojf    4    If there is some state now or in the future such that the Red light is on, then the Blue light is on at every state in the past, present, and future.   
7jm2    4    If the Red light will eventually be on, then the Blue light must always be on.   
eolW    5    If the Red light is ever on, the Blue light is always on.   
c1fn    5    If there is a state at or beyond the current state where the red light is on, then the blue light is always on.   
nr65    4    If Red is ever lit in the future, then Blue is always lit.   
m0p6    5    If the red light is ever lit, the blue light is always on.   
1vwv    4    If the Red light will be on at some point in the future, then the Blue light will always be on.   
xqZA    3    If the Red light is on at some point, then the Blue light would always have to be on.   
bxd4    4    If the red light is on at some point, blue light is always on.   
bx1r    4    If the red light eventually turns on, then the blue light is always on   
clU0    5    If the Red light is eventually on, then the Blue light is always on.   
ndij    5    If the red light eventually turns on at some point, then the blue light is always on.   
tyos    4    If the red panel will be lit eventually, that means the blue panel is lit and will always be lit (ok I'm now learning multiple panels may be lit @same time).   
ekny    3    If the Red light will be on eventually, the Blue light will always be on.   
hDZG    4    If the red light is ever on, the blue light will always be on.   
zf66    5    If the red light is ever lit, the blue light will always be lit both before and after the red light lights up.   
yypq    5    If the red light eventually turns on, then the blue light should always be on   
pfdd    5    If Red is ever lit, Blue is always lit.   
s0nv    5    If the red light is ever on, then the blue light will always be on.   
j9mq    4    If the red light turns on at some point in the future, then the blue light will always be on from the current time step forward.   
j7t9    5    if red light will ever be on, then blue light is always on   
n4vd    5    If the red panel is lit at some point then the blue panel is always lit   
qjpx    3    If Red is eventually lit in some state, then blue will be lit in every state   
kuaa    5    If Red is ever in Panel.Lit, that must mean that for all states, Blue must always be in Panel.Lit   
xeec    5    If the red light will ever be on in a future state, then the blue light is always on   
duq8    4    If the panel will eventually shine red, then the panel will always have blue light.   
borderline correct, N = 3
3r04    5    If Red is in the Panel.lit in the end, Blue will always in the Panel.lit.   
kkzx    3    If the blue light is not always on, then the red light will not be on in the future.   
DzoD    5    Red will only ever turn on if Blue is never off.   
incorrect, and then + F scope, N = 3
ydkm    4    At some point in the trace, a red light implies that every color after that red light is blue.   
uOG8    4    if the red light is on at some point in the future, then after that the blue light will always be on   
able    4    The light red is lit eventually in a future state after the current state and after that the blue light is always lit.   
incorrect, and then + F scope (does "future" start at 0 or later? unclear), N = 1
dznh    4    If the Red light ever turns on, the Blue light must always be on in the future.   
incorrect, F scope, N = 2
yoxy    1    If the red light ever becomes lit in a future state, the blue light will then be on for all future states from that state (inclusive)   
w4t3    4    When the red light turns on, the blue light will always stay on.   
incorrect, now vs eventually, N = 1
XLuy    4    The red light being lit means that the blue light is always lit.   
incorrect, implicit toplevel F, N = 2
cirf    4    There is a state after which either the red light is never lit or the blue light is always lit.   
XU9x    5    After a certain point, the Red panel will only ever be lit when the Blue panel is lit.   



Q2.15

{ Red in Panel.lit until Blue in Panel.lit }
and
always { Red in Panel.lit }
ABlue is eventually lit and Red is always lit

28 / 57 students correct (49%)

3.98 overall average confidence


correct, N = 28
gbrV    5    The red light is on until the blue light is turned on, and the red light is always one   
rahc    4    Two conditions are true: 1) red light is lit until blue light gets lit, 2) red light is always lit.   
31qw    5    Red is on in this and all subsequent states, and in this state or in some subsequent state, blue is on.   
c9jy    4    The red light is on and the blue light eventually turns on.   
KXjz    4    The red light will be lit until the blue light is lit and the red light will always be lit.   
iVk5    5    The red light is always on, and the blue light is on in at least one trace.   
uOG8    3    the red light will always be on, at some point the blue light will be on   
fsqw    5    The red light is always on and the blue light is on in some state.   
dznh    3    The Red light is always on, and the Blue light will turn on in the future.   
7opy    5    The Red light is always on. The Blue light will be on.   
cirf    4    The red light is always on and the blue light eventually turns on at some point.   
fojf    4    The Blue light will be on at some point in the present or future, and the Red light is always lit   
1vwv    5    The Red light is always on and the Blue light is on at some point in the future.   
ndij    4    The red light is always on no matter what, and the blue light is on at some point.   
hDZG    5    The red light is always on, and the blue light turns on at some point.   
XU9x    4    The red panel will stay lit until the Blue panel becomes lit (after which point its possible, but not guaranteed, that it will turn off), and the red panel will ways be lit.   
pfdd    5    Red will be lit at least until blue is lit, and red will always be lit.   
s0nv    3    The red light is always lit, and the blue light is also lit at some point in time   
j9mq    5    The red light is always lit and the blue light is lit at least once in the future.   
qjpx    4    Red is always lit and Blue is eventually lit in some state   
kuaa    4    In all states before Blue is in Panel.lit, red is in Panel.lit. Also, Red is always lit. Important to note that this is satisfiable as Red can be in Panel.lit even after Blue is in Panel.lit   
N3Cw    4    The Red light is on in all states from now until the state where the Blue light is on, and the Red light is always on.   
w4t3    3    The red light is always on until the blue light is on, and the red light remains always on   
clU0    5    The Red light is on until the Blue light is on, and the Red light is always on.   
yypq    2    The red light will be on until the blue light is on and the red light is always on   
XLuy    2    The red light is lit until the blue light turns on and the red light is always lit.   
duq8    4    The Panel's light will always be red until it turns blue, and the light will always be red.   
ydkm    4    Red will be lit in every state from state 0 until a state where blue is lit, and also red is always lit.   
incorrect, weak U + U negates lhs, N = 13
vz2g    4    Blue is never lit.   
3r04    5    Red will always in the Panel.lit and Blue will never in the Panel.lit.   
ptyk    5    The Red light is on in all states from now until the Blue light is on and the Red light is aways on. This will only be true if the Blue light is never on.   
mxad    3    The Red light is always on, and the Blue light is never on.   
8E1h    3    The red light is lit until the Blue light is lit, but since the Red light is always lit, the Blue light is never lit.   
55oa    3    The Red light only turns off when the Blue light is on, but the Red light is always on   
eolW    5    The Red light is always on. The Blue light is never on.   
c1fn    4    The red light must stay on until the blue light turns on for the first time at or beyond the current state AND the red light must always stay on. This reduces to an obligation for the red light to always on stay for all states including and beyond the current one.   
yoxy    4    Red will always be lit, blue will never be lit.   
DzoD    3    Red is always on, blue is never on   
bxd4    3    The red light is always turned on, and the Blue light is never on.   
tyos    4    Red panel will be lit in every state until (non-incl) Blue panel is lit. Also, Red panel is always lit. (so the first statement is kind of useless then).   
kkzx    2    The red light is always on and the blue light will never be on.   
incorrect, weak U + U negates lhs + U implicit global rhs, N = 1
nr65    3    The Red is constantly lit until (if ever) the Blue becomes perpetually lit, at which point the Red will be perpetually unlit. Additionally, the Red is always lit.   
incorrect, U negates lhs, N = 1
nieh    5    The red light is always on, but the red light is on until the the blue light is on, meaning there could be a contradiction.   
incorrect, weak U, N = 12
bx1r    4    The red light is always on. The blue light may turn on.   
zf66    5    The red light will always be lit, and the blue light may light up at some point.   
qMyf    4    The Red light is always lit.   
7jm2    3    The red light is always on.   
sain    5    the light is always red   
m0p6    5    The red light is always lit   
able    4    The red light is always lit   
xqZA    3    The Red light is always on.   
ekny    3    The Red light will always be on.   
n4vd    3    The red panel should always be lit   
xeec    5    The red light is always on   
917u    4    The red light is on until the blue light is turned on and the red light is always on. Essentially the red light is always on.   
incorrect, implicit global, N = 1
rnC9    5    the red light is always on and the blue light is always either on or going to turn on in the future.   
incorrect, unlabeled, N = 1
j7t9    4    if red light is always on before blue light is ever on, then red light is always on   



Q2.19

always {
  Red in Panel.lit implies {
    after { Red not in Panel.lit }
    and
    after {
      after { Red in Panel.lit } } } }
Awhenever Red is lit, it turns off in the next state and on again in the state after that

48 / 57 correct (84%)

4.32 overall average confidence


correct, N = 48
917u    4    For any given state if the red light is on then in the next state it is off and then two states from now it is on again.   
qMyf    4    Whenever the Red light is lit, it will not be lit one step later, and it will be lit two steps later.   
gbrV    5    It is always true that in every state, if the read light is on, it will not be on in the next step and it will be on again in 2 steps.   
rahc    4    It is always the case that: if red light is lit, then red light is not lit in the following state and red light is lit again in the state that follows that (ie. two states from now).   
N3Cw    3    It's always true that if the Red light is on, then the Red light will not be on in the next state and the Red light will be on in the state after that.   
ydkm    5    For any state i, red being lit implies that in state i+1 red must not be lit, and in state i + 2 red must be lit.   
31qw    5    Whenever red is on in a state, it is off in the next state, and on again in the state thereafter.   
c9jy    4    If the red light is on, then the red light turns off on the next turn, and then turns back on two turns from now.   
ptyk    5    In all states, it will be true that, if the Red light is on, in the next state it will not be on, and in the state that follows the next state (i+2), the Red light will be on again.   
KXjz    5    it will always be that if the red light is lit then red will not be lit in the next state and it will be lit two states later.   
iVk5    5    Once the red light is on, for all of the remaining traces, the red light switches from on to off or off to on in each trace.   
mxad    4    If the red light is not off, it must be flickering (turning on and off consecutively)   
rnC9    5    If the red light ever turns on it will blink on and off forever   
8E1h    4    It will always be true that if Red is lit, Red is not lit in the next light change and Red will be lit in the light change two changes in the future.   
sain    4    the light will never stay in red after a change of state and, if it becomes red, it will be red again after two change of states   
nieh    5    From now on, whenever the red light is on, in the next turn it will be off, and in the turn following that it will be on again.   
fsqw    5    If at any point the red light is on, then it must be off in the next state and on in the state after the next state.   
dznh    4    If the Red light ever turns on, it will blink on and off forever.   
7opy    5    If the Red light is on, it will be off in the next state and be on again in the next of the next state.   
cirf    4    If the red light ever turns on, it will alternate being on and off forever after.   
fojf    5    For every state, if the Red light is on in the given state, the Red light will not be on in the following state, and the Red light will be on in the state that occurs two states in the future   
c1fn    4    If the red light is ever on (suppose this happens in the state with index s), then it will follow a cycle where it is on for all states (s + 2k) and off for states (s + 2k + 1), where k is a non-negative integer. It is also possible that the red light never turns on.   
nr65    4    Whenever Red is lit, the next state will have Red be unlit and in 2 states, Red will be lit again.   
m0p6    5    The red light is blinking on and off, given it turns on once.   
able    4    Whenever a red light is lit. The one state is after the light is not lit and two states after the light is lit again.   
1vwv    5    It is always true that if the Red light is currently on, then it will be off in the next state and back on in the state after that.   
yoxy    4    In all states, if red is lit in the current state, then in the next state red wont be lit, and two states from the current state red will be lit.   
xqZA    3    Whenever the Red light turns on, it will then turn off, then will turn on back again (the first time it's on will start a cycle).   
bxd4    3    When the red light is on this state, it won't be on the next state, but it will be on the next next state. This repeats. Red light: OXOXOXOXO ( for example..)   
bx1r    5    In every state, if the red light is on, then the red light wont be on in the next state, and will be on in the state after next   
w4t3    4    If the red light is ever on, the red light is not afterwards, and it turns on two states later.   
clU0    5    Whenever the Red light is on, it is not on in the next time step, but it is on 2 time steps later.   
ndij    5    This rule is always true: if the red light is on, then one state after the red light is off, and two states after the red light is on.   
tyos    5    Its always the case that a red panel lit state implies that the next state will not be red panel lit and the following state will be red panel lit. This is like an alternating on/off trace.   
hDZG    5    If the red light ever turns on, it then starts blinking forever with a period of 2.   
XU9x    5    Once the panel has been lit once, the panel will turn off and on forever (at intervals of one turn).   
zf66    5    If the red light ever turns on, it will start blinking (alternating on and off each timestep) forever.   
kkzx    2    It is always the case that if the red light is on, it will not be on the next turn, but it will be on the next next turn.   
yypq    3    It is always true that if the red light is on, in the next time step the red light will not be on and the red light will be back on in 2 time steps   
pfdd    5    If red is ever lit, it will then continually blink off and on.   
j9mq    4    if red is ever lit, then it will always alternate between unlit and lit in future time steps. Otherwise red is never lit.   
j7t9    4    whenever red is on, it turns off and back on alternately   
qjpx    5    If Red is lit in some state, then it will not be lit in the next state, but will be lit again in two states after. In another word, Red light is alternating between lit and not lit.   
kuaa    4    In all cases/states, if Red is in Panel.lit in a given state, Red is not in Panel.lit in the following state. However, if Red is in Panel.lit in a given state, Red is in Panel.lit two states later. If we were to condense this, this would basically mean once Red is in Panel.lit, it is in Panel.lit in every other state.   
XLuy    3    It's always the case that the red light being lit means that immediately afterwards it is not lit but two instances after it becomes lit again.   
duq8    4    For all turns, if the panel is red in the current turn, then the next turn the panel won't be red, but in the next next turn, the panel would be red again.   
3r04    4    In every state, if in one state, Red is in the Panel.lit, the next state it will not in the Panel.lit and come back after two states.   
eolW    5    If the Red light is on, it will turn off in the next trace, and then turn on again. This will repeat forever. (The Red light alternates on and off forever)   
incorrect, Red now (blinker), N = 6
uOG8    5    the red light will always alternate being on and off   
55oa    4    The Red light blinks from on to off to on to off (repeated forever)   
DzoD    3    Red light is constantly blinking. On 2 states off 1   
ekny    4    The Red light will constantly switch between on and off states.   
s0nv    4    The red light will be on in every other state and off in the remaining states. (Pattern: Red = On, Red = Off, Red = On...)   
xeec    5    The red light will be on in every other state   
incorrect, forget global, N = 2
vz2g    4    Red alternates on and off through each state forever, provided it is currently on.   
n4vd    5    If the red panel is lit, then it should not be lit in the instance after but it should be lit in the instance after that.   
incorrect, forget global + XXX vs XX, N = 1
7jm2    4    If the red light is on now, then it won't be on in the next time unit, but it will be on in 3 time units.