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BP917 Reversible transformations vs. non-reversible transformations.
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COMMENTS

All examples depict a process that transforms one object into another (two example input-output pairs are provided in every panel). In left-sorted examples, each input corresponds to a unique output, whereas in right-sorted examples, different inputs could potentially lead to the same output. There is a sense in which all the processes described on the right "lose" some amount of the input's information.

REFERENCE

https://en.wikipedia.org/wiki/Injective_function

CROSSREFS

Adjacent-numbered pages:
BP912 BP913 BP914 BP915 BP916  *  BP918 BP919 BP920 BP921 BP922

KEYWORD

nice, abstract, creativeexamples, structure, rules, miniworlds

CONCEPT convey_enough_information (info | search),
function (info | search)

AUTHOR

Leo Crabbe

BP951 Process described leaves some inputs invariant vs. no output will resemble its input.
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(edit; present; nest [left/right]; search; history)
COMMENTS

There are many ambiguities here. The solver is expected to determine what things are "allowed" to be inputs for each process. To avoid confusion examples should not be sorted differently if you consider inputting nothing.



In each example there is at least some overlap between the set of possible inputs and the set of possible outputs for each process. If we did not apply this constraint, an easy example to be sorted right would be a process that turns blue shapes red.



A harder-to-read but more clearly defined version of this Problem could include within each example a mini Bongard Problem sorting left all allowed inputs for the process.

REFERENCE

https://en.wikipedia.org/wiki/Fixed_point_(mathematics)

CROSSREFS

Adjacent-numbered pages:
BP946 BP947 BP948 BP949 BP950  *  BP952 BP953 BP954 BP955 BP956

KEYWORD

structure, rules, miniworlds

CONCEPT function (info | search)

AUTHOR

Leo Crabbe

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