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ChurchNumerals

oxilean_std::functional_programming::types

Struct ChurchNumerals 

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pub struct ChurchNumerals;
Expand description

Church encoding utilities for natural numbers.

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impl ChurchNumerals

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pub fn church_zero_desc() -> &'static str

Church numeral zero: Λf.Λx. x (conceptual).

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pub fn church_succ_desc() -> &'static str

Church numeral succ: Λn.Λf.Λx. f (n f x).

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pub fn church_to_u64(n: u64) -> u64

Convert Church numeral to actual u64 (simulation).

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pub fn church_add(m: u64, n: u64) -> u64

Church addition: λm.λn.λf.λx. m f (n f x).

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pub fn church_mul(m: u64, n: u64) -> u64

Church multiplication: λm.λn.λf. m (n f).

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pub fn church_pow(m: u64, n: u64) -> u64

Church exponentiation: λm.λn. n m.

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