package mel-bastet

  1. Overview
  2. Docs
package mel-bastet
Legend:
Page
Library
Module
Module type
Parameter
Class
Class type
Source

Source file Bool.ml

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
open Interface

module Conjunctive = struct
  module Magma : MAGMA with type t = bool = struct
    type t = bool

    let append = ( && )
  end

  module Medial_Magma : MEDIAL_MAGMA with type t = bool = Magma

  module Semigroup : SEMIGROUP with type t = bool = struct
    include Magma
  end

  module Monoid : MONOID with type t = bool = struct
    include Semigroup

    let empty = true
  end
end

module Disjunctive = struct
  module Magma : MAGMA with type t = bool = struct
    type t = bool

    let append = ( || )
  end

  module Medial_Magma : MEDIAL_MAGMA with type t = bool = Magma

  module Semigroup : SEMIGROUP with type t = bool = struct
    include Magma
  end

  module Monoid : MONOID with type t = bool = struct
    include Semigroup

    let empty = false
  end
end

module Eq : EQ with type t = bool = struct
  type t = bool

  let eq = ( = )
end

module Ord : ORD with type t = bool = struct
  include Eq

  let compare = unsafe_compare
end

module Bounded : BOUNDED with type t = bool = struct
  include Ord

  let top = true

  and bottom = false
end

module Join_Semilattice : JOIN_SEMILATTICE with type t = bool = struct
  type t = bool

  let join = ( || )
end

module Meet_Semilattice : MEET_SEMILATTICE with type t = bool = struct
  type t = bool

  let meet = ( && )
end

module Bounded_Join_Semilattice : BOUNDED_JOIN_SEMILATTICE with type t = bool = struct
  include Join_Semilattice

  let bottom = false
end

module Bounded_Meet_Semilattice : BOUNDED_MEET_SEMILATTICE with type t = bool = struct
  include Meet_Semilattice

  let top = true
end

module Lattice : LATTICE with type t = bool = struct
  include Join_Semilattice

  include (Meet_Semilattice : MEET_SEMILATTICE with type t := t)
end

module Bounded_Lattice : BOUNDED_LATTICE with type t = bool = struct
  include Bounded_Join_Semilattice

  include (Bounded_Meet_Semilattice : BOUNDED_MEET_SEMILATTICE with type t := t)
end

module Distributive_Lattice : DISTRIBUTIVE_LATTICE with type t = bool = struct
  include Lattice
end

module Bounded_Distributive_Lattice : BOUNDED_DISTRIBUTIVE_LATTICE with type t = bool = struct
  include Bounded_Lattice
end

module Heyting_Algebra : HEYTING_ALGEBRA with type t = bool = struct
  include Ord

  include (Bounded_Distributive_Lattice : BOUNDED_DISTRIBUTIVE_LATTICE with type t := t)

  let not a = not a

  and implies a b = (not a) || b
end

module Involutive_Heyting_Algebra : INVOLUTIVE_HEYTING_ALGEBRA with type t = bool = struct
  include Heyting_Algebra
end

module Boolean_Algebra : BOOLEAN_ALGEBRA with type t = bool = struct
  include Heyting_Algebra
end

module Show : SHOW with type t = bool = struct
  type t = bool

  let show = string_of_bool
end

module Infix = struct
  module Conjunctive = struct
    include Infix.Magma (Conjunctive.Magma)
  end

  module Disjunctive = struct
    include Infix.Magma (Disjunctive.Magma)
  end

  include Infix.Eq (Eq)
  include Infix.Ord (Ord)
  include Infix.Join_Semilattice (Join_Semilattice)
  include Infix.Meet_Semilattice (Meet_Semilattice)
  include Infix.Heyting_Algebra (Heyting_Algebra)
end
OCaml

Innovation. Community. Security.

GitHub Discord Twitter Peertube RSS
About
Changelog Releases Industrial Users Academic Users Why OCaml
Ecosystem
Packages Community Events OCaml Planet Jobs
Resources
Install OCaml Get Started Platform Tools Language Manual Standard Library API Books Exercises Papers OCaml Playground Logo
Policies
Carbon Footprint Governance Privacy Code of Conduct