, Volume 23, Issue 1, pp 73-89

Using Event-B to construct instruction set architectures

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Abstract

The instruction set architecture (ISA) of a computing machine is the definition of the binary instructions, registers, and memory space visible to an executable binary image. ISAs are typically implemented in hardware as microprocessors, but also in software running on a host processor, i.e. virtual machines (VMs). Despite there being many ISAs in existence, all share a set of core properties which have been tailored to their particular applications. An abstract model may capture these generic properties and be subsequently refined to a particular machine, providing a reusable template for development of robust ISAs by the formal construction of all normal and exception conditions for each instruction. This is a task to which the Event-B (Metayer et al. in Rodin deliverable 3.2 Event-B language, http://rodin.cs.ncl.ac.uk, 2005; Schneider in The B-method an introduction, Palgrave, Basingstoke, 2001) formal notation is well suited. This paper describes a project to use the Rodin tool-set (Abrial in Formal methods and software engineering, Springer, Berlin, 2006) to perform such a process, ultimately producing two variants of the MIDAS (Microprocessor Instruction and Data Abstraction System) ISA (Wright in Abstract state machines, B and Z, Springer, Berlin, 2007; Wright in MIDAS machine specification, Bristol University, http://www.cs.bris.ac.uk/Publications, 2009) as VMs. The abstract model is incrementally refined to variant models capable of automatic translation to C source code, which this is compiled to create useable VMs. These are capable of running binary executables compiled from high-level languages such as C (Kernighan and Ritchie in The C programming language, Prentice-Hall, Englewood Cliffs, 1988), and compilers targeted to each variant allow demonstration programs to be executed on them.

Michael Poppleton and Michael Butler