We develop a polarised variant of Curien and Herbelin’s ¯λµ˜µ calculus suitable for sequent calculi that admit a focalising cut elimination (i.e. whose proofs are focalised ...
Calculi with explicit substitutions (ES) are widely used in different areas of computer science. Complex systems with ES were developed these last 15 years to capture the good comp...
Subtyping in first order object calculi is studied with respect to the logical semantics obtained by identifying terms that satisfy the same set of predicates, as formalised throu...
Abstract. Sequent calculi usually provide a general deductive setting that uniformly embeds other proof-theoretical approaches, such as tableaux methods, resolution techniques, goa...
Density elimination by substitutions is introduced as a uniform method for removing applications of the Takeuti-Titani density rule from proofs in firstorder hypersequent calculi....