3 papers
math.LO2024
Admissibility of the Structural Rules in the Sequent Calculus with Equality
Franco Parlamento, Flavio Previale
On the ground of a general theorem concerning the admissibility of the structural rules in sequent calculi with additional atomic rules, we develop a proof theoretic analysis for s…
math.LO2018
Absorbing the Structural Rules in the Sequent Calculus with Additional Atomic Rules
Franco Parlamento, Flavio Previale
We show that if the structural rules are admissible over a set R of atomic rules, then they are admissible in the sequent calculus obtained by adding the rules in R to G3[mic]. Two…
math.LO2018
A simplified version of the Sequent Calculus G3[mic]^=
Franco Parlamento, Flavio Previale
We show that the Replacement Rule in the sequent calculus G3[mic]}^=, for first order languages with function symbols and equality, can be replaced by the simpler rule in which the…