Girard introduced phase semantics as a complete set-theoretic semantics of linear logic, and Okada modified phase-semantic completeness proofs to obtain normalform theorems. On the basis of these ...

This is a preview. Log in through your library . Abstract We conducted a computer-based psychological experiment in which a random mix of 40 tautologies and 40 non-tautologies were presented to the ...

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

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 ...

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.

Logic is among the oldest and most foundational of the university disciplines. The goal is to equip students with most general possible framework for sound and rigorous reasoning — one that works ...