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Unformatted text preview: Outline Rules if Inference Rules of Inference for Propositional Logic Using Rules of Inference to Build Arguments Resolution ICS 253 Lecture 09 Dr. Adel F. Ahmed ICS  CCSE  KFUPM October 29, 2008 Dr. Adel F. Ahmed ICS 253 Lecture 09 Outline Rules if Inference Rules of Inference for Propositional Logic Using Rules of Inference to Build Arguments Resolution Rules if Inference Definitions Example Rules of Inference for Propositional Logic Modus Ponens (Law of Detachment) Example: Modus Ponens Table of Rules of Inference Table of Rules of Inference (cont.) Example: Identification of Inference Basis Example 2: Identification of Inference Basis Using Rules of Inference to Build Arguments Example: Argument analysis Example2: Argument analysis Resolution Resolution and Clause Example: Resolution and Clause Dr. Adel F. Ahmed ICS 253 Lecture 09 Outline Rules if Inference Rules of Inference for Propositional Logic Using Rules of Inference to Build Arguments Resolution Definitions Example Valid Arguments in Propositional Logic I “If you have a current password, then you can log onto the network” I “You have a current password” I Therefore I “You can log onto the network” Dr. Adel F. Ahmed ICS 253 Lecture 09 Outline Rules if Inference Rules of Inference for Propositional Logic Using Rules of Inference to Build Arguments Resolution Definitions Example Valid Arguments in Propositional Logic I “If you have a current password, then you can log onto the network” I “You have a current password” I Therefore I “You can log onto the network” Translate: I p ≡ “You have a current password” I q ≡ “You can log onto the network” Dr. Adel F. Ahmed ICS 253 Lecture 09 Outline Rules if Inference Rules of Inference for Propositional Logic Using Rules of Inference to Build Arguments Resolution Definitions Example Valid Arguments in Propositional Logic I “If you have a current password, then you can log onto the network” I “You have a current password” I Therefore I “You can log onto the network” Translate: I p ≡ “You have a current password” I q ≡ “You can log onto the network” Argument: p → q p ∴ q Dr. Adel F. Ahmed ICS 253 Lecture 09 Outline Rules if Inference Rules of Inference for Propositional Logic Using Rules of Inference to Build Arguments Resolution Definitions Example Definition: Argument , premises , conclusion Argument: Sequence of propositions. Premises: All propositions in an argument, except the last one. Conclusion: The last proposition in an argument. Dr. Adel F. Ahmed ICS 253 Lecture 09 Outline Rules if Inference Rules of Inference for Propositional Logic Using Rules of Inference to Build Arguments Resolution Definitions Example Definition: Argument , premises , conclusion Argument: Sequence of propositions....
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This note was uploaded on 01/27/2011 for the course ICS 253 taught by Professor Arnasser during the Spring '10 term at GWU.
 Spring '10
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