Published online by Cambridge University Press: 07 September 2011
This additional chapter shows that both forward and backward reasoning are special cases of the resolution rule of inference. Resolution also includes compiling two clauses, like:
In the propositional case, given two clauses of the form:where B and D are conjunctions of atoms including the atom true, and C and E are disjunctions of atoms including the atom false, resolution derives the resolvent:The two clauses from which the resolvent is derived are called the parents of the resolvent, and the atom A is called the atom resolved upon.
To save this book to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Find out more about the Kindle Personal Document Service.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.