Foundations of Software Science and Computational by Wolfgang Thomas (auth.), Luca de Alfaro (eds.)

By Wolfgang Thomas (auth.), Luca de Alfaro (eds.)

This publication constitutes the refereed court cases of the twelfth foreign convention on Foundations of software program technology and Computational buildings, FOSSACS 2009, held in York, united kingdom, in March 2009, as a part of ETAPS 2009, the eu Joint meetings on idea and perform of software program.

The 30 revised complete papers offered including invited talks have been rigorously reviewed and chosen from 102 complete paper submissions. the themes addressed are semantics, logics and automata, algebras, automata thought, methods and versions, safeguard, probabilistic and quantitative types, synthesis, and software research and semantics.

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Extra info for Foundations of Software Science and Computational Structures: 12th International Conference, FOSSACS 2009, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2009, York, UK, March 22-29, 2009. Proceedings

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Math. Qu. (1977) 19. : Classical isomorphisms of types. Mathematical Structures in Computer Science 15(5), 969–1004 (2005) 20. : Equational theories for inductive types. Ann. Pure Appl. Logic 84(2), 175–217 (1997) 21. : Logik und Agon. Atti Congr. Internat. di Filosofia (1960) 22. : Games and full abstraction for FPC. Inf. Comput. 160(1-2), 1–61 (2000) 23. : Asynchronous games 4: A fully complete model of propositional linear logic. In: LICS, pp. 386–395 (2005) 24. : Free μ-lattices. J. Pure Appl.

Either GB (s B ) = W in which case GB⇒C (s B,C ) = L and τ cannot be winning, or GB (s B ) = L in which case GA⇒B (s A,B ) = L and σ cannot be winning. Therefore σ; τ is total. σ; τ must be winning as well. Suppose there is s ∈ σ; τ such that GA⇒C (s) = L. By definition of GA⇒C , this means that GA (s A ) = W and GC (s C ) = L. By definition of composition, there is u ∈ σ||τ such that s = u A,C . But whatever the value of GB (u B ) is, one of σ or τ is losing. Therefore σ; τ is winning. It is clear from the definitions that all plays in the identity are winning.

4790, pp. 92–106. Springer, Heidelberg (2007) 7. : Totality in Arena Games (submitted, 2008) 8. : On Numbers and Games. AK Peters, Ltd. (2001) 9. : Second-order type isomorphisms through game semantics. Ann. Pure Appl. Logic 151(2-3), 115–150 (2008) 10. : Inductive sets and families in Martin-L¨ ofs Type Theory and their settheoretic semantics: An inversion principle for Martin-L¨ os type theory. Logical Frameworks 14, 59–79 (1991) 11. : A general formulation of simultaneous inductive-recursive definitions in type theory.

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