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 ...

Studia Logica: An International Journal for Symbolic Logic, Vol. 102, No. 6, Gentzen's and Jaśkowski's Heritage 80 Years of Natural Deduction and Sequent Calculi (December 2014), pp. 1185-1216 (32 ...

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 ...

Computational complexity and proof systems are fundamental areas in theoretical computer science that explore the limits of what can be computed and how efficiently problems can be solved. Recent ...