jeremyschlatter / binary-lambda-calculus

Runs the first few thousand programs in the binary lambda calculus.

To try it:

• install rust
• from the root of this repo, run $ cargo run

Sample output:

0010 ->
00100 -> 0
00101 -> 1
001000 -> 00
001001 -> 01
001010 -> 10
001011 -> 11
0010000 -> 000
0010001 -> 001
0010010 -> 010
0010011 -> 011
0010100 -> 100
0010101 -> 101
0010110 -> 110
0010111 -> 111
00000010 ->
00100000 -> 0000
00100001 -> 0001
00100010 -> 0010
00100011 -> 0011
00100100 -> 0100
00100101 -> 0101
00100110 -> 0110
00100111 -> 0111
00101000 -> 1000
00101001 -> 1001
00101010 -> 1010
00101011 -> 1011
00101100 -> 1100
00101101 -> 1101
00101110 -> 1110
00101111 -> 1111
000000100 ->
000000101 ->

This program interprets bitstrings as BLC programs and executes them as follows:

• parse a BLC program P from the prefix of the string
• for the remainder of the string after that prefix, encode the literal bitstring as a list L of true and false
• apply P to L and reduce
• assume the result is again a list of true and false, and decode it back to a literal bitstring
• if any of the above steps fail, skip the bitstring as an invalid program