cmu: Unification in a Commutative Monoid

[ algebra, library, program ] [ Propose Tags ]

The unification problem is given the problem statement t =? t', find a most general substitution s such that s(t) = s(t') modulo the axioms of a commutative monoid. Substitition s is more general than s' if there is a substitition s" such that s' = s" o s.

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Versions [faq]	1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.10, 1.11
Change log	ChangeLog
Dependencies	array, base (>=3 && <5), containers (>=0.3) [details]
License	LicenseRef-GPL
Author
Maintainer	ramsdell@mitre.org
Category	Algebra
Source repo	head: git clone git://github.com/ramsdell/cmu.git
Uploaded	by JohnRamsdell at Mon Jan 8 16:22:12 UTC 2018
Distributions	NixOS:1.11
Executables	cmu
Downloads	5702 total (108 in the last 30 days)
Rating	(no votes yet) [estimated by rule of succession]
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Status	Docs available [build log] Last success reported on 2018-01-08 [all 1 reports]

Modules

[Index]

Algebra
- CommutativeMonoid
  - Algebra.CommutativeMonoid.LinDiophEq
  - Algebra.CommutativeMonoid.Unification

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cmu-1.11.tar.gz [browse] (Cabal source package)
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Readme for cmu-1.11

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This package contains a library for unification in
commutative monoid and a program that exercises the library.

$ cmu
Commutative monoid unification -- :? for help
cmu> 2x+y=3z
Problem:   2x + y = 3z
Unifier:   [x : g0 + 3g2,y : g0 + 3g1,z : g0 + g1 + 2g2]

cmu> 2x=x+y
Problem:   2x = x + y
Unifier:   [x : g0,y : g0]

cmu> 64x=41y+a
Problem:   64x = a + 41y
Unifier:   [a : 5g0 + 2g1 + 23g2 + g3 + 64g4,x : 2g0 + 9g1 + g2 + 25g3 + g4 + 41g5,y : 3g0 + 14g1 + g2 + 39g3 + 64g5]

cmu> :quit