New results on rewrite-based satisfiability procedures

Program analysis and verification require decision procedures to reason on theories of data structures. Many problems can be reduced to the satisfiability of sets of ground literals in theory T. If a sound and complete inference system for first-order logic is guaranteed to terminate on T-satisfiability problems, any theorem-proving strategy with that system and a fair search plan is a T-satisfiability procedure. We prove termination of a rewrite-based first-order engine on the theories of records, integer offsets, integer offsets modulo and lists. We give a modularity theorem stating sufficient conditions for termination on a combinations of theories, given termination on each. The above theories, as well as others, satisfy these conditions. We introduce several sets of benchmarks on these theories and their combinations, including both parametric synthetic benchmarks to test scalability, and real-world problems to test performances on huge sets of literals. We compare the rewrite-based theorem prover E with the validity checkers CVC and CVC Lite. Contrary to the folklore that a general-purpose prover cannot compete with reasoners with built-in theories, the experiments are overall favorable to the theorem prover, showing that not only the rewriting approach is elegant and conceptually simple, but has important practical implications.Comment: To appear in the ACM Transactions on Computational Logic, 49 page

paraVerifier: An automatic framework for proving parameterized cache coherence protocols

Abstract. Parameterized verification of cache coherence protocols is an impor-tant but challenging research problem. We present in this paper our automatic framework paraVerifier to handle this problem: (1) it first discovers auxiliary in-variants and the corresponding causal relations between invariants and protocol rules from a small reference instance of the verified protocol; (2) the discovered invariants and causal relations can then be generalized into their parameterized form to automatically construct a formal proof to establish the correctness of the protocol. paraVerifier has been successfully applied to a number of benchmarks.

Building Better Bit-Blasting for Floating-Point Problems

An effective approach to handling the theory of floating-point is to reduce it to the theory of bit-vectors. Implementing the required encodings is complex, error prone and requires a deep understanding of floating-point hardware. This paper presents SymFPU, a library of encodings that can be included in solvers. It also includes a verification argument for its correctness, and experimental results showing that its use in CVC4 out-performs all previous tools. As well as a significantly improved performance and correctness, it is hoped this will give a simple route to add support for the theory of floating-point

BSP Functional Programming: Examples of a Cost Based Methodology

Abstract. Bulk-Synchronous Parallel ML (BSML) is a functional data-parallel language for the implementation of Bulk-Synchronous Parallel (BSP) algorithms. It makes an estimation of the execution time (cost) possible. This paper presents some general examples of BSML programs and a comparison of their predicted costs with the measured execution time on a parallel machine

Abordagem por Competências no Currículo Escolar em Cabo Verde: Desfazendo Equívocos para uma Mudança Significativa nas Políticas e Práxis Educacionais

A abordagem curricular por competências, enquanto fenómeno recente no discurso educativo em Cabo Verde, corre o risco de não passar de mero modismo, sem se traduzir numa inovação efectiva ao nível das práxis educacionais, se não for correctamente compreendida pelos diversos actores envolvidos na obra educativa e, em particular, nos processos de deliberação, gestão e realização dos currículos escolares. O presente artigo procura esclarecer alguns equívocos que em Cabo Verde, como em outras latitudes, acompanham a defesa da pedagogia por competências. Assim, importa elucidar que a abordagem curricular por competências vem aprofundar, entre outras, as abordagens por conteúdos e por objectivos e não, pura e simplesmente, substituí-las, por serem, alegadamente, tradicionais. Outrossim, no contexto da educação escolar, as competências não devem ser encaradas numa perspectiva redutora, focalizada na transferibilidade de conhecimentos para o mercado de trabalho, mas, fundamentalmente, no sentido da mobilização do conhecimento escolar para a resolução dos problemas nos diversos contextos ou situações da vida, que não se esgota no mercado

Quaternary glacial history of the Mediterranean mountains

Glacial and periglacial landforms are widespread in the mountains of the Mediterranean region. The evidence for glacial and periglacial activity has been studied for over 120 years and it is possible to identify three phases of development in this area of research. First, a pioneer phase characterized by initial descriptive observations of glacial landforms; second, a mapping phase whereby the detailed distribution of glacial landforms and sediments have been depicted on geomorphological maps; and, third, an advanced phase characterized by detailed understanding of the geochronology of glacial sequences using radiometric dating alongside detailed sedimentological and stratigraphical analyses. It is only relatively recently that studies of glaciated mountain terrains in the Mediterranean region have reached an advanced phase and it is now clear from radiometric dating programmes that the Mediterranean mountains have been glaciated during multiple glacial cycles. The most extensive phases of glaciation appear to have occurred during the Middle Pleistocene. This represents a major shift from earlier work whereby many glacial sequences were assumed to have formed during the last cold stage. Glacial and periglacial deposits from multiple Quaternary cold stages constitute a valuable palaeoclimatic record. This is especially so in the Mediterranean mountains, since mountain glaciers in this latitudinal zone would have been particularly sensitive to changes in the global climate system. © 2006 Edward Arnold (Publishers) Ltd