Journal of Formalized Mathematics
Volume 13, 2001
University of Bialystok
Copyright (c) 2001
Association of Mizar Users
On State Machines of Calculating Type
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Hisayoshi Kunimune
-
Shinshu University, Nagano
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Grzegorz Bancerek
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Bialystok Technical University
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Yatsuka Nakamura
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Shinshu University, Nagano
Summary.
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In this article, we show the properties of the calculating type state machines.
In the first section, we have defined calculating type state machines of which
the state transition only depends on the first input.
We have also proved theorems of the state machines.
In the second section, we defined Moore machines with final states.
We also introduced the concept of result of the Moore machines.
In the last section, we proved the correctness of several calculating
type of Moore machines.
MML Identifier:
FSM_2
The terminology and notation used in this paper have been
introduced in the following articles
[14]
[7]
[18]
[15]
[9]
[1]
[13]
[4]
[6]
[5]
[3]
[12]
[2]
[17]
[10]
[8]
[16]
[11]
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Calculating Type
-
State Machine with Final States
-
Correctness of a Result of State Machine
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Received December 3, 2001
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