The Understanding and Translation of KIF and TPTP

1
The Understanding and Translation of KIF and TPTP

• Michael Metral
• CSC410 Project Implementation

2
What is Logic Reasoning?

• Logic reasoning is the basis for proving in-depth
  logic theorems
• Foundation for Artificial Intelligence
• Example
• Axioms
• All men are mortal
• Mike is a man
• Conjecture
• Mike is a mortal

3
Computer Interpretation

• For a computer to interpret this type of logic,
  it needs syntax that is in some order of logic
• Types of syntax
• Knowledge Interchange Format (KIF)
• Mixture of 1st and 2nd Order logic
• Thousands of Problems for Theorem Provers (TPTP)
  a library of theorems with its own syntax
• 1st order logic

4
KIF to TPTP translator

• Adam Pease uses a knowledge base system Sigma,
  and his own fix on KIF known as SUO-KIF
• Needs KIF to TPTP translator

5
Advantages in translating from KIF to TPTP

• Current systems as Vampire that use KIF are
  limited in theorem provability
• Broader window of interaction with Automated
  Theorem Proving (ATP) systems opens up
• Barrier between reasoning languages diminishes
• More convenient to work with

6
Disadvantages in translating from KIF to TPTP

• Some 2nd order logic syntax cannot be fully
  translated to 1st order
• Semantics of the original KIF language can be
  lost in the process
• Example
• Spanish to English
• You can translate the words, but you cant
  always translate the meaning

7
Programming Process

• Adam requires the translation to be integrated
  into his system new KIF
• With an existing preProcess() method that
  extracts unnecessary information, we can deal
  with each individual, necessary token
• As we progress through each token of the KIF
  statement we convert it to a formal TPTP formula

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Translation Example

• (exists (?X)
• (and (lives ?X)
• (killed ?X agatha) ) )
• fof(1,axiom,(
• ? X
• ( lives(X)
• killed(X,agatha) ) )).
• Run through tptp4X syntax checking program to
  ensure proper format is used

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RemoteSOT

• RemoteSOT java program that remotely connects to
  the TPTP server to prove theorems in TPTP format
• After translation has been made, the
  incorporation of the RemoteSOT function is also
  done to give Adams Sigma the functionality of
  proving theorems in the TPTP library

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RemoteSOT Functions

• Sends requests to run ATP systems for TPTP
  problems
• Runs problems on TPTP server with the given input
  from the new KIF
• Returns the corresponding results along with
  possible recommendations for the given problem

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The End