This is a preview. Log in through your library . Abstract A propositional system of modal logic is second-order if it contains quantifiers ∀p and ∃p, which, in the standard interpretation, are ...

We consider extending the modal logic KD45, commonly taken as the baseline system for belief, with propositional quantifiers that can be used to formalize natural language sentences such as ...

Figure 1: Molecular implementation of propositional logic statements and deductions. Using this system one can specify logic programs with facts and rules as well as various queries as a text file. A ...

Catalog description: Introduction to deductive logic. Topics include: basic concepts of deductive logic; techniques of formal proof in propositional and predicate logic. 3 units. Prerequisites: No ...

This week we discuss the completeness theorem for the propositional calculus. Details can be found in this handout. You should also read Lemmon Chapter 4 during the next two weeks.

Due: Assignment #4 (Lemmon p. 62, #2 (all), #5 (omit i,j,k,l), #7; p. 73, #1 (part one, omit j,k); #3 (part one).) Reading: Lemmon Section 3.3 [Also read Sections 3.1 ...

The course will provide students with knowledge of the fundamental parts of formal logic. It will also teach them a range of associated formal techniques with which they can then analyse and assess ...