Foundations of Software Science and Computational by Colin Stirling (auth.), Luke Ong (eds.)

By Colin Stirling (auth.), Luke Ong (eds.)

This publication constitutes the refereed lawsuits of the thirteenth foreign convention on Foundations of software program technology and Computational constructions, FOSSACS 2010, held in Paphos, Cyprus, in March 2010, as a part of ETAPS 2010, the eu Joint meetings on conception and perform of software program. The 25 revised complete papers awarded including the summary of the keynote lecture have been conscientiously reviewed and chosen from 86 complete paper submissions. The papers are geared up in topical sections on semantics of programming languages, probabilistic and randomised computation, concurrency and technique concept, modal and temporal logics, verification, express and coalgebraic equipment, in addition to lambda calculus and kinds.

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Extra resources for Foundations of Software Science and Computational Structures: 13th International Conference, FOSSACS 2010, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2010, Paphos, Cyprus, March 20-28, 2010. Proceedings

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Any further extension of the type system of IA2+ leads either to context-free languages or to plays in which pointers from O-moves of unbounded length would have to be handled, which seemingly requires an infinite alphabet. S. Murawski and N. M : θ → θ Γ M : (θ → θ ) → (θ → θ ) Γ Y(M ) : θ → θ memory allocation. Its types are generated by the grammar below, where β ranges over the ground types unit and int. θ ::= β | var | θ→θ The syntax of L is given in the Figure above. Note in particular the first two rules concerning variables.

U))CR = sCR [ tCR , uCR / z] Fig. 5. Linearly-used CPS translation of terms 26 J. E. Møgelberg, and A. Simpson For statement 3, suppose Γ VR | − t : AVR . Define u = jA (tVR ) [j −1 (Γ )]. 1) . The proofs of items 2 and 4 are similar. We end this section by showing how the linearly-used CPS translation of the enriched effect calculus into itself subsumes the call-by-value and call-by-name linearly-used CPS translations of Figure 3, from [7,6]. Indeed, these are obtained uniformly by precomposing the translation on the enriched effect calculus with the standard call-by-value and call-by-name translations.

I−1 )[fst(z)] A (t (inl(t))CR = tCR [fst(z) / z] VR (inr(t))VR = λz : ACR × BCR . i−1 )[snd(z)] A (t (inr(t))CR = tCR [snd(z) / z] (case s of (inl(x). t; inr(y). u))VR = iC (λz : CCR . sVR [ tCR , uCR ]) (case s of (inl(x). t; inr(y). u))CR = sCR [ tCR , uCR / z] Fig. 5. Linearly-used CPS translation of terms 26 J. E. Møgelberg, and A. Simpson For statement 3, suppose Γ VR | − t : AVR . Define u = jA (tVR ) [j −1 (Γ )]. 1) . The proofs of items 2 and 4 are similar. We end this section by showing how the linearly-used CPS translation of the enriched effect calculus into itself subsumes the call-by-value and call-by-name linearly-used CPS translations of Figure 3, from [7,6].

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