We consider the problem of automating and checking the use of previously proved lemmas in the proof of some main theorem. In particular, we call the collection of such previously p...
Existing definitions of the relativizations of NC1 , L and NL do not preserve the inclusions NC1 ⊆ L, NL ⊆ AC1 . We start by giving the first definitions that preserve them....
Abstract. Establishing local consistency is one of the main algorithmic techniques in temporal and spatial reasoning. In this area, one of the central questions for the various pro...
Models of the untyped λ-calculus may be defined either as applicative structures satisfying a bunch of first order axioms, known as “λ-models”, or as (structures arising fr...
Antonio Bucciarelli, Thomas Ehrhard, Giulio Manzon...
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...