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CSL
2007
Springer
13 years 10 months ago
A Games Model of Bunched Implications
A game semantics of the (−−∗, →)-fragment of the logic of bunched implications, BI, is presented. To date, categorical models of BI have been restricted to two kinds: funct...
Guy McCusker, David J. Pym
CSL
2007
Springer
13 years 10 months ago
Clique-Width and Parity Games
The question of the exact complexity of solving parity games is one of the major open problems in system verification, as it is equivalent to the problem of model-checking the mod...
Jan Obdrzálek
CSL
2007
Springer
13 years 10 months ago
Correctness of Multiplicative (and Exponential) Proof Structures is NL -Complete
We provide a new correctness criterion for unit-free MLL proof structures and MELL proof structures with units. We prove that deciding the correctness of a MLL and of a MELL proof ...
Paulin Jacobé de Naurois, Virgile Mogbil
CSL
2007
Springer
13 years 10 months ago
Bad Variables Under Control
We give a fully abstract game model for Idealized Algol with non-local control flow. In contrast to most previous papers on game semantics, we do not need to include the bad-varia...
Andrzej S. Murawski
CSL
2007
Springer
13 years 10 months ago
Classical Program Extraction in the Calculus of Constructions
We show how to extract classical programs expressed in Krivine λc-calculus from proof-terms built in a proof-irrelevant and classical version of the calculus of constructions with...
Alexandre Miquel
CSL
2007
Springer
13 years 10 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
CSL
2007
Springer
13 years 10 months ago
Focusing and Polarization in Intuitionistic Logic
A focused proof system provides a normal form to cut-free proofs that structures the application of invertible and non-invertible inference rules. The focused proof system of Andre...
Chuck Liang, Dale Miller
CSL
2007
Springer
13 years 10 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
CSL
2007
Springer
13 years 10 months ago
Tightening the Exchange Rates Between Automata
Automata on infinite objects were the key to the solution of several fundamental decision problems in mathematics and logic. Today, automata on infinite objects are used for form...
Orna Kupferman
CSL
2007
Springer
13 years 10 months ago
Integrating Linear Arithmetic into Superposition Calculus
Abstract. We present a method of integrating linear rational arithmetic into superposition calculus for first-order logic. One of our main results is completeness of the resulting...
Konstantin Korovin, Andrei Voronkov