package logtk

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LogtkOrdering implementations
Global table of Orders

package logtk

logtk
- Logtk
- LogtkCache
  - Dummy
    
    X
  - Dummy2
    
    X
    
    Y
  - EQ
  - HASH
  - LRU
    
    X
  - Linear
    
    X
  - Linear2
    
    X
    
    Y
  - Replacing
    
    X
  - Replacing2
    
    X
    
    Y
  - S
  - S2
- LogtkCnf
- LogtkComparison
  - PARTIAL_ORD
- LogtkCongruence
  - FO
  - HO
  - Make
    
    T
  - S
  - TERM
- LogtkDBEnv
- LogtkDtree
  - Default
  - Make
    
    E
- LogtkFOTerm
  - AC
    
    A
  - AC_SPEC
  - Classic
  - Map
  - Pos
  - Seq
  - Set
  - T2LogtkCache
  - TLogtkCache
  - TPTP
    
    Arith
  - Tbl
- LogtkFastFingerprint
  - Make
    
    Leaf
    
    X
- LogtkFeatureVector
  - Make
    
    C
    
    Feature
- LogtkFingerprint
  - Make
    
    Leaf
    
    X
- LogtkFormula
  - FO
    
    Base
    
    Map
    
    Seq
    
    Set
    
    TPTP
    
    Tbl
  - Make
    
    Base
    
    Map
    
    MyT
    
    Seq
    
    Set
    
    TPTP
    
    Seq
    
    Set
    
    TPTP
    
    Tbl
  - Map
    
    From
    
    Base
    
    Map
    
    Seq
    
    Set
    
    TPTP
    
    Tbl
    
    To
    
    Base
    
    Map
    
    Seq
    
    Set
    
    TPTP
    
    Tbl
  - S
    
    Base
    
    Map
    
    Seq
    
    Set
    
    TPTP
    
    Tbl
  - TERM
    
    Seq
    
    Set
    
    TPTP
- LogtkFormulaShape
- LogtkHORewriting
  - Seq
- LogtkHOTerm
  - LogtkCache
  - Map
  - Pos
  - Seq
  - Set
  - TPTP
  - Tbl
  - any_visitor
  - id_visitor
- LogtkHashcons
  - HashedLogtkType
  - Make
    
    H
    
    X
  - S
    
    H
- LogtkIArray
  - Seq
- LogtkIndex
  - BasicEquation
  - CLAUSE
  - EQUATION
  - LEAF
  - MakeLeaf
    
    X
  - SUBSUMPTION_IDX
    
    C
  - TERM_IDX
    
    Leaf
  - UNIT_IDX
    
    E
- LogtkInterfaces
  - EQ
  - GROUP
  - HASH
  - ITER
  - MONOID
  - ORD
  - PRINT
  - PRINT1
  - PRINT_DE_BRUIJN
  - PRINT_OVERLOAD
- LogtkLambda
- LogtkLazyGraph
  - Dot
  - Full
  - Heap
  - Infix
  - Mutable
- LogtkLazyList
- LogtkMultiset
  - Make
    
    Seq
    
    X
  - S
    
    Seq
- LogtkNPDtree
  - Make
    
    E
  - MakeTerm
    
    Leaf
    
    X
- LogtkOptions
- LogtkOrdering
  - Default
  - Make
    
    P
    
    Constr
    
    Seq
- LogtkOrdering_intf
  - S
    
    Prec
    
    Constr
    
    Seq
- LogtkParseLocation
- LogtkPartialOrder
  - ELEMENT
  - Make
    
    E
- LogtkPartialOrder_intf
  - S
- LogtkPosition
  - Build
- LogtkPrecedence
  - Constr
  - Default
    
    Constr
    
    Seq
  - Make
    
    Constr
    
    Seq
    
    Sym
  - SYMBOL
  - Seq
- LogtkPrecedence_intf
  - S
    
    Constr
    
    Seq
- LogtkPrologTerm
  - Map
  - Seq
  - Set
  - TPTP
  - Tbl
  - id_visitor
  - visitor
- LogtkRewriting
  - FormRW
  - MakeOrdered
    
    E
  - MakeTRS
    
    I
    
    E
  - ORDERED
    
    E
  - SIG_TRS
  - TRS
- LogtkScopedTerm
  - DB
  - Kind
  - Map
  - Pos
  - Seq
  - Set
  - Tbl
- LogtkSignature
  - SMap
  - Seq
  - TPTP
    
    Arith
- LogtkSkolem
- LogtkSourced
- LogtkSubsts
  - FO
  - Form
  - HO
  - Renaming
  - SPECIALIZED
  - Ty
- LogtkSymbol
  - ArithOp
  - Base
  - Map
  - Seq
  - Set
  - TPTP
    
    Arith
  - Tbl
- LogtkTransform
  - DAG
    
    Form
  - FORM
  - FormDag
    
    Form
  - MakeDAG
    
    Form
- LogtkType
  - Conv
  - Map
  - Seq
  - Set
  - TPTP
  - Tbl
- LogtkTypeInference
  - Closure
  - Ctx
  - FO
  - HO
  - S
- LogtkTypedPrologTerm
  - Map
  - Seq
  - Set
  - Subst
  - Tbl
  - Visitor
- LogtkUnif
  - FO
  - Form
  - HO
  - NARY
  - Nary
  - Ty
  - UNARY
  - Unary
- LogtkUtil
  - Exn
  - Flag
  - Section

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Class type

module Prec = LogtkPrecedence.Default

type term = LogtkFOTerm.t

type symbol = Prec.symbol

type t

Partial ordering on terms

type ordering = t

val compare : t -> term -> term -> LogtkComparison.t

Compare two terms using the given ordering

val precedence : t -> Prec.t

Current precedence

val set_precedence : t -> Prec.t -> t

Change the precedence. The new one must be a superset of the old one.

raises Invalid_argument
if the new precedence is not compatible with the old one

val update_precedence : t -> (Prec.t -> Prec.t) -> t

Update the precedence with a function.

raises Invalid_argument
if the new precedence is not compatible with the previous one (see set_precedence).

val add_list : t -> symbol list -> t

Update precedence with symbols

val add_seq : t -> symbol Sequence.t -> t

Update precedence with signature

val name : t -> string

Name that describes this ordering

val clear_cache : t -> unit

val pp : Buffer.t -> t -> unit

val fmt : Format.formatter -> t -> unit

val to_string : t -> string

LogtkOrdering implementations

An ordering is a partial ordering on terms. Several implementations are simplification orderings (compatible with substitution, with the subterm property, and monotonic), some other are not.

val kbo : Prec.t -> t

Knuth-Bendix simplification ordering

val rpo6 : Prec.t -> t

Efficient implementation of RPO (recursive path ordering)

val none : t

All terms are incomparable (equality still works). Not a simplification ordering.

val subterm : t

Subterm ordering. Not a simplification ordering.

Global table of Orders

val default_of_list : symbol list -> t

default ordering on terms (RPO6) using default precedence

val default_of_prec : Prec.t -> t

val by_name : string -> Prec.t -> t

Choose ordering by name among registered ones, or

raises Invalid_argument
if no ordering with the given name are registered.

val register : string -> (Prec.t -> t) -> unit

Register a new ordering, which can depend on a precedence. The name must not be registered already.

raises Invalid_argument
if the name is already used.