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CSL
2007
Springer
16 years 1 months ago
Not Enough Points Is Enough
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...
CSL
2007
Springer
16 years 1 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
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 ...
Guillaume Burel
CSL
2007
Springer
16 years 1 months ago
The Power of Counting Logics on Restricted Classes of Finite Structures
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
Anuj Dawar, David Richerby
CSL
2007
Springer
16 years 1 months ago
A Cut-Free and Invariant-Free Sequent Calculus for PLTL
Abstract. Sequent calculi usually provide a general deductive setting that uniformly embeds other proof-theoretical approaches, such as tableaux methods, resolution techniques, goa...
Joxe Gaintzarain, Montserrat Hermo, Paqui Lucio, M...
CSL
2007
Springer
16 years 1 months ago
Typed Normal Form Bisimulation
Normal form bisimulation is a powerful theory of program equivalence, originally developed to characterize L´evy-Longo tree equivalence and Boehm tree equivalence. It has been ada...
Søren B. Lassen, Paul Blain Levy