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Algebraic Models of Simultaneous Multithreaded and Multi-core Processors

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Book cover Algebra and Coalgebra in Computer Science (CALCO 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4624))

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Abstract

Much current work on modelling and verifying microprocessors can accommodate pipelined and superscalar processors. However, superscalar and pipelined processors are no longer state-of-the-art: Simultaneous Multithreaded (SMT) and Multi-core, or Chip-Level Multithreaded (CMT) microprocessors enable a single microprocessor implementation to present itself to the programmer as multiple (virtual in the case of SMT) processors with shared state. This paper builds on a series which has developed a hierarchy of many-sorted algebraic models, able to model a variety of processor types, at different levels of temporal and data abstraction. These models address both the behavioural definition of microprocessors, and also the question: what does it mean for a microprocessor implemenation to be correct? They also consider how the process of formal verification can be simplified by indentifying some easily-checked preconditions (the one-step theorems). We extend the existing algebraic tools for modeling microprocessors and their correctness to SMT and CMT. We outline how the one-step theorems for simplifying verification are modified for SMT and CMT processors. The particular problems that are addressed are: how to map multiple (possibly interacting) user-level SMT/CMT models to a single implementation? And how to accommodate the (unavoidable) presence of implementation level components in the user-level model?

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Till Mossakowski Ugo Montanari Magne Haveraaen

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Harman, N.A. (2007). Algebraic Models of Simultaneous Multithreaded and Multi-core Processors. In: Mossakowski, T., Montanari, U., Haveraaen, M. (eds) Algebra and Coalgebra in Computer Science. CALCO 2007. Lecture Notes in Computer Science, vol 4624. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73859-6_20

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  • DOI: https://doi.org/10.1007/978-3-540-73859-6_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73857-2

  • Online ISBN: 978-3-540-73859-6

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