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 establish a connection between the geometric methods developed in the combinatorial theory of small cancellation and the propositional resolution calculus. We define a precise correspondence ...

Computational logic and formal languages form a cornerstone of modern computer science and mathematics, providing the theoretical framework by which algorithms, automated reasoning systems and even ...

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.

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His ...

MIT Press recently published Fundamental Proof Methods in Computer Science, a book by Konstantine Arkoudas and David Musser, a professor emeritus of computer science at the Rensselaer Polytechnic ...