MyNixOS website logo
Description

The absorbing element of package dependencies.

Cabal package dependencies form a commutative monoid with an absorbing element. They satisfy the following axioms:

Associativity

For all dependencies a, b and c,

(a , b) , c = a , (b , c)

In fact, the Cabal syntax does not even allow you to use the parentheses for this reason.

Commutativity

For all dependencies a and b,

a , b = b , a
Identity element

For all dependencies a,

acme-one , a = a
a , acme-one = a

Depending on acme-one has no additional effect.

Absorbing element

For all dependencies a,

acme-zero , a = acme-zero
a , acme-zero = acme-zero

Depending on acme-zero in addition has the same effect as only depending on acme-zero.

acme-zero and acme-one

Cabal package dependencies form a commutative monoid with an absorbing element. They satisfy the following axioms:

  • Associativity

    For all dependencies a, b and c,

    (a , b) , c = a , (b , c)
    

    In fact, the Cabal syntax does not even allow you to use the parentheses for this reason.

  • Commutativity

    For all dependencies a and b,

    a , b = b , a
    
  • Identity element

    For all dependencies a,

    acme-one , a = a
    a , acme-one = a
    

    Depending on acme-one has no additional effect.

  • Absorbing element

    For all dependencies a,

    acme-zero , a = acme-zero
    a , acme-zero = acme-zero
    

    Depending on acme-zero in addition has the same effect as only depending on acme-zero.

Metadata

Version

0.0.2

License

publicDomain

Platforms (75)

    Darwin
    FreeBSD
    Genode
    GHCJS
    Linux
    MMIXware
    NetBSD
    none
    OpenBSD
    Redox
    Solaris
    WASI
    Windows
Show all
  • aarch64-darwin
  • aarch64-genode
  • aarch64-linux
  • aarch64-netbsd
  • aarch64-none
  • aarch64_be-none
  • arm-none
  • armv5tel-linux
  • armv6l-linux
  • armv6l-netbsd
  • armv6l-none
  • armv7a-darwin
  • armv7a-linux
  • armv7a-netbsd
  • armv7l-linux
  • armv7l-netbsd
  • avr-none
  • i686-cygwin
  • i686-darwin
  • i686-freebsd
  • i686-genode
  • i686-linux
  • i686-netbsd
  • i686-none
  • i686-openbsd
  • i686-windows
  • javascript-ghcjs
  • loongarch64-linux
  • m68k-linux
  • m68k-netbsd
  • m68k-none
  • microblaze-linux
  • microblaze-none
  • microblazeel-linux
  • microblazeel-none
  • mips-linux
  • mips-none
  • mips64-linux
  • mips64-none
  • mips64el-linux
  • mipsel-linux
  • mipsel-netbsd
  • mmix-mmixware
  • msp430-none
  • or1k-none
  • powerpc-netbsd
  • powerpc-none
  • powerpc64-linux
  • powerpc64le-linux
  • powerpcle-none
  • riscv32-linux
  • riscv32-netbsd
  • riscv32-none
  • riscv64-linux
  • riscv64-netbsd
  • riscv64-none
  • rx-none
  • s390-linux
  • s390-none
  • s390x-linux
  • s390x-none
  • vc4-none
  • wasm32-wasi
  • wasm64-wasi
  • x86_64-cygwin
  • x86_64-darwin
  • x86_64-freebsd
  • x86_64-genode
  • x86_64-linux
  • x86_64-netbsd
  • x86_64-none
  • x86_64-openbsd
  • x86_64-redox
  • x86_64-solaris
  • x86_64-windows