Mirror, Mirror in My Hand

نویسندگان

  • J. L. Fiadeiro
  • J. F. Costa
چکیده

Since Pnueli's seminal paper in 1977, Temporal Logic has been used as a formalism for specifying and verifying the correctness of reactive systems. In this paper, we show that, besides its expressive power, Temporal Logic enjoys a very strong structural property: it is categorical on processes. That is, we show how temporal specifications (as theories) can be embedded in categories of process behaviour, and out of this adjunction we build an institution which is categorical in the sense of Meseguer. This characterisation means that temporal logic is, in a sense, "sound and complete" with respect to process specification and interconnection techniques. TABLE OF CONTENTS Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1 Process behaviours. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2 Process specifications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3 Back and Forth Between Th and Proc......................................... 11 4 Object-based specification...................................................... 13 5 A categorical institution........................................................ 16 Concluding remarks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 (*) This work was partially supported by the Esprit BRA 8035 (MODELAGE), the HCM Scientific Network MEDICIS, and JNICT under contract PBIC/P/MAT/1629/93. 2 J.L.Fiadeiro & J.F.Costa

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تاریخ انتشار 1996