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Edinburgh EH14 1DJ STATE ASSIGNMENT OF FINITE STATE MACHINES USING A GENETIC ALGORITHM

STATE ASSIGNMENT OF FINITE STATE MACHINES USING A GENETIC ALGORITHM

A.E.A Almaini, J.F. Miller, P. Thomson and S. Billina.

Department of

Electrical, Electronic and Computer Engineering

Napier University

219 Colinton Road

Edinburgh EH14 1DJ

STATE ASSIGNMENT OF FINITE STATE MACHINES

USING A GENETIC ALGORITHM

Indexing terms: State Assignment, Finite State Machines, Genetic Algorithm.

Abstract

The use of Genetic Algorithms for the generation of optimal state assignments for synchronous finite state machines (FSM) is proposed. Results are presented to show that in all examples attempted the resulting state assignments are better than or at least as good as those produced by SPECTRAL, NOVA and MUSTANG and also closed partition assignments. On average the genetic algorithm produced assignments with 33% less logic than the best produced by other algorithms.

1. Introduction

Attempts at solving the state assignment problem spreads over five decades. Amongst the early attempts are those due to Armstrong [1], Dolotta and McCluskey [2] and the decomposition technique due to Hartmanis and Stearns [3,4]. The state assignment refers to the allocation of unique binary codes to the states of sequential switching circuits. The discussion is limited to the state assignment of synchronous sequential machines that employ minimum number of state variables. It is known that all valid assignment codes produce workable circuits. The problem is that the resulting circuits may vary vastly in terms of their complexity and there is no known method of predicting the optimum assignment for the states. Exhaustive search is only possible for relatively small state machines, of the order of eight states, say. The partitioning technique developed by Hartmanis and Stearns [3,4] is arguably the most systematic study of the subject. One of its drawbacks is that not all state machines have well behaved closed partitions.

Recent work has tended to look for assignments that can be easily automated and give good though not necessarily optimum results. Some of these are now incorporated into commercial ECAD tools and may be targeted at two levels [5] or multi-level [6] implementations.

This paper describes a technique which tackles the problem in an alternative way to the analytical approach of partitioning, or the heuristics of commercially available software. Using a genetic algorithm, all possible assignments for a given problem may be considered as a search space of potential solutions. The genetic algorithm, then, essentially searches this space in a systematic manner whilst employing various methods for the avoidance of settling upon localised optima. It is by this structured search that a good solution for the state assignment may be found.

2. Genetic Algorithms

Genetic Algorithms (GAs) [7,8] present a non-deterministic approach to problem solving. The technique originated in Holland's study of adaptation in natural and artificial systems has now been successfully applied to a large number of varied NP-hard problems.

The basic method is to create a population of randomly selected potential solutions to the problem. These solutions are encoded as 'chromosomes' (abstract representations of problem solutions), and each chromosome is subjected to an evaluation function that assigns a 'fitness' depending upon how well the solution it encodes solves the problem at hand.

The chromosomes are recombined by a process called 'crossover'. The rationale behind this is that good solutions will contain good building blocks (partial solutions), the re-arrangement of which may produce even better solutions. Further, a 'mutation' process makes random changes to a few randomly selected 'genes' (partial solutions) within chromosomes, preventing premature convergence by maintaining the genetic diversity of the population. The population is then iterated through many generations and each individual's survival depends upon its fitness; hence, the best genes tend to be preserved, and the average fitness of the population should increase from generation to generation.

The mechanism for the selection of parent chromosomes is crucial as this is the driving force behind the gradual increase in average fitness of each generation as the GA evolves. A well known way to achieve this has been the so called 'roulette wheel selection'. Also known in statistics as the 'Monte Carlo' method, this is simply an algorithm for selecting parent chromosomes in proportion to their fitness. This means that particularly fit chromosomes will be chosen as parent chromosomes a number of times. They will then be able to 'pass on' genetic sub-features to a number of offspring.

A GA has many parameters to be fine-tuned for the problem at hand, and it is still a matter of some debate as to what these settings should be, and how they should be established. The parameters in question are: (i) the population size, (ii) the crossover rate: the number of chromosomes which will breed in one generation, and (iii) the mutation rate: the percentage of genes in the population that will be altered.

The mechanisms for parent selection and crossover within GAs are very much a research topic in their own right, and many alternatives have been developed [9]. The most effective choice of these mechanisms may be problem related as indeed are the particular values of the GA parameters.

3. A Genetic Algorithm for the State Assignment Problem

An FSM with m states requires a minimum of s state variables for the assignment

where s =

2g . The number of logically unique [10] assignments for an FSM, N , is given by:

N m s s s =??()!()!!

212The chromosome representation chosen was a 'pick list'. For example, the 'pick list' 34 2 1 1 would map the states 0 1 2 3 4 to the assignment 2 4 1 0 3. This comes about as follows: pick the third state, which gives 2, then remove this from the list. Next, pick the fourth state, which gives 4, then remove. This procedure is then continued for all five states.The reason for this apparently complicated chromosome representation is that it avoids the generation of invalid assignments which may otherwise have arisen by (i) random selection in the initial population and (ii) the processes of crossover and mutation. If the assignment itself were used as the chromosome, then the duplication of code assignments to particular states would be unavoidable. This would hamper the functioning of the genetic search because each chromosome would have to be repaired to re-establish their validity as problem solutions.

The genetic algorithm's search space is given by N above. The fitness f c i () of a chromosome c i in a generation having an ESPRESSO multi-output minimised literal count l i was given by f c l l i j i ()max{}=? , where max{}l j is the maximum literal count found in the generation. For each chromosome a Berkeley standard PLA file is created, this is then passed to ESPRESSO for minimisation. It is the literal count for this minimisation that forms the fitness for that chromosome. Parent chromosomes were randomly selected with a frequency proportional to their relative fitness (windowed roulette wheel selection). Pairs were then formed ready for crossover in such a way as to avoid the production of duplicate children.Once the new generation is created, elitism is employed to promote the best parent from the previous generation into the new generation. The algorithm used is described in figure 3.1.

Step 1. Create num_chromosomes randomly generated chromosomes c i ;

Step 2. Evaluate the fitness of each chromosome f c i ();

Step 3. best_chromosome =c i such that f c i ()=max{f c j ()};

Step 4. num_generations =1;

Step 5. num_children=(percent_breeding*num_chromosomes);

Step 6. while (max_num_generations not exceeded) do

begin

select num_children parent chromosomes by windowed roulette wheel;

apply one-point crossover to create num_children new chromosomes;

replace num_children parents with new chromosomes (children);

mutate percent_mutation genes of total genes;

replace randomly selected chromosome with best_chromosome (elitism);

evaluate the fitness of new chromosomes f c j ();

if (f c j ()> max{f c i ()})

best_chromosome =c j ;

num_generations=num_generations+1;

end;

Figure 3.1 The Genetic Algorithm for State Assignment.

From experience the following GA parameters were chosen: population size = 30,breeding rate = 40%, minimum mutation rate = 8%. The mutation rate was variable and increased with each generation if there had been no improvement in the literal count of the best chromosome. It then dropped back to 8% if improvement had occurred. The number of generations over which the GA was run was a maximum of 500. However it was observed that for machines with less than 9 states, the number of generations required for the GA to operate effectively was lower at somewhere between 50 and 100.

4. The Closed Partitions State Assignment

The existence of closed partitions on the states of a FSM gives an insight into the structure of the circuit. If the state assignment code is based on closed partitions then the circuit is decomposed into smaller units operating in parallel, serial or as a composite structure. In fact the structure can be predicted by simple inspection of the lattice diagram of the partitions. The reduced dependency between the state variables after decomposition normally results in simpler logic equations. It should be pointed out that not all state machines have closed partitions though in theory they can be made to do so by state splitting.It is felt that a comparison between the performances of the genetic algorithm and those obtained by industry standard algorithm, namely NOVA, MUSTANG and SPECTRAL should give a clear indication of the potential of this algorithm. A comparison with the partitions assignments should give a better understanding of the algorithm and its capability of finding what are known to be good solutions. First, however, a brief review of the relevant aspects of partition theory are given.A partition, π, on the states of a sequential machine is called a closed partition with respect to the machine, if for any two states S i and S j belonging to the same block of π and any input x ,the next states S x i and S x j are also in a common block of π. The existence of a partition τ and a closed partition π on the set of states of a sequential machine such that πτπ.()=0 is a sufficient condition for the machine to be decomposed into two components operating in

#(2ππ.

#(2τbetween the blocks of τ. This can be generalised to a cascade of more than two components

[3,4,11]. Similarly, if there exist n closed partitions such that ππππ120....()n =, the machine can be decomposed into n components operating in parallel and independent of each other. If ππππ12+++≠...()n I , then a component may be factored out to produce a composite structure.

5. Results

Due to space limitations, only selected examples are considered in detail. In every case the logic was minimised using the multi-output logic minimiser, ESPRESSO. The codes for the state assignments are given in Table 5.3. The KISS2 files for the examples which are not benchmarks are given in Table 5.4. These were taken from [11 - 13].

The partition assignment for example 'dk27' resulted in a predictable serial decomposition as shown in fig 5.1. The GA which is biased towards minimising the number of literals, generated an assignment which required the smallest number of literals. This bias can be adjusted , if desired, to favour the minimisation of the number of cubes or the number of AND/OR gates. The other algorithms produced comparable assignments.

The example 'test' had three useful closed partitions and resulted in two components in parallel with a predecessor as can be predicted from the lattice diagram in Fig 5.2. The parallel components are independent of each other. The GA produced the best result with the partition assignment a close second, both much better than all the others.

The example 'swma2' assignment was based on three partitions of the same block size, one of which is also an input consistent partition [11]. The result is probably the best possible, three components operating in parallel independently of each other one of which is independent of the external primary input. The GA solution is comparable but with more dependence. MUSTANG produced the next best solution followed by NOVA and SPECTRAL.

π12135647

=;,;,;,π21256247

=,,,;,,Partition equations:

GA equations:

Y y x 220

=Y y y x y y y x 21002100=++Y y y x y y y x y x 1210212010=+++Y y x y y y y 1202101=++Y y y x y y x y x 010010020

=++Y y y x y y y y 01002102

=++NOVA equations:

MUSTANG equations:

Y y y x y y y y 220021010=++Y y x 210

=Y y y x y y y x 12001010=++Y y y y y x 121200

=+Y y x y y 0100100

=+Y y y x y y x y y 020021010

=++SPECTRAL equations:

Y y y x y y y y 22101020=++Y y x 110

=Y y y x y y x y y x y x 020*********

=+++Figure 5.1. Equations for benchmark dk27

π

1

12346857

=,;,;,;,

π

2

18374526

=,;,;,;,

π

3

12683457

=,,,;,,,

Partition equations:GA equations:

Y y

22

=Y y

22

=

Y y y x y x y x y y

1210102021

=+++Y y y x

1020

=+

Y y y y y

02020

=+Y y y x y x y y

02101021

=++

NOVA equations:MUSTANG equations:

Y y y x y y x y y

221020021

=++Y y

22

=

Y y y x y y x y y x y y y

1210200100210

=+++

Y y y y x y y

y x

1210020

100

=++

Y y y x y y x y y x

021*******

=++

Y y y y x y y y x

y y x y y x y y

021002100

10010021

=++

++

SPECTRAL equations:

Y y y y y y y y

22101021

=++

Y y y x y x y y x y y

11002010021

=+++

Y y y x y y x y y x y y x

0100200200200

=+++

Figure 5.2. Equations for example 'test'

πτ114682357==,,,;,,,i π212345678=,,,;,,,π312783456

=,,,;,,,Partition equations:GA equations:Y y x 220

=Y y x y x 22020=+Y y x y x 11010=+Y y 11

=Y y 00

=Y y x y x 00020

=+NOVA equations:MUSTANG equations:Y y y x y y x y x 221010000=++Y y x 220=Y y 11

=Y y 11

=Y y y x y y x y x 021010020

=++Y y y x y x y y 02000020

=++SPECTRAL equations:

Y y y y x y y x y y x y y x 22100210100200=+++Y y y x y x 120010

=+Y y y y x y y x y y y y 021*********

=+++Figure 5.3. Equations for example 'swma2'

The following results (tables 5.1 and 5.2) show the performance, in terms of the number of two input gates required, for the various state assignment algorithms considered. The tables show, for each algorithm, a breakdown of the number of literals and the number of two input AND gates and OR gates respectively.

Table 5.1. Comparison of algorithms (including output logic)

Table 5.2. Comparison of algorithms (ignoring output logic)

donfile: GA: 2, 3, 0, 4, 1, 5, 6, 7, 10, 11, 8, 9, 12, 13, 14, 15, 21, 23, 17, 16, 18, 19, 25, 27

NOVA:0, 2, 25, 9, 3, 11, 5, 1, 21, 22, 4, 6, 16, 27, 7, 31, 26, 15, 18, 8, 13, 12, 10, 14

Mu: 6, 7, 14, 22, 10, 12, 2, 18, 3, 11, 19, 15, 13, 4, 5, 21, 20, 29, 0, 1, 16, 8, 17, 9

Sp:0, 4, 6, 8, 10, 11, 1, 5, 14, 16, 18, 19, 2, 9, 12, 17, 22, 23, 3, 7, 13, 15, 20, 21

bbtas: GA: 7, 1, 6, 0, 4, 5NOVA: 2, 3, 1, 0, 5, 6 Mu: 6, 0, 5, 1, 3, 2 Sp: 0, 1, 2, 3, 4, 5

dk14:GA: 5, 7, 1, 3, 6, 0, 4 NOVA: 1, 4, 0, 2, 7, 5, 3 Mu: 0, 1, 2, 6, 3, 4, 7 Sp: 0, 5, 1, 4, 2, 3, 6

dk15:GA: 2, 3, 0, 1NOVA: 1, 0, 3, 2Mu: 0, 1, 3, 2Sp: 0, 1, 2, 3

dk16:GA:17, 29, 0, 1, 28, 25, 5, 4, 15, 7, 9, 26, 16, 21, 23, 14, 8, 31, 11, 27, 20, 13, 6, 3, 12, 30, 2

NOVA:12, 7, 1, 3, 4, 10, 24, 23, 5, 27, 15, 16, 11, 6, 0, 20, 31, 2, 13, 25, 21, 14, 18, 19, 30, 17, 22

Mu:6, 4, 3, 18, 10, 8, 5, 12, 19, 14, 24, 13, 0, 1, 3, 22, 27, 7, 9, 11, 25, 23, 16, 20, 21, 17, 15

Sp:0, 5, 1, 8, 9, 10, 11, 6, 7, 2, 3, 4, 21, 22, 19, 12, 13, 16, 17, 18, 14, 15, 23, 24, 25, 20, 26

dk27:GA: 5, 1, 2, 3, 6, 7, 0NOVA: 2, 6, 5, 3, 4, 0, 7Mu: 2, 3, 7, 4, 1, 0, 5 Sp: 0, 3, 5, 2, 4, 1, 6 Pa: 0, 6, 1, 4, 2, 3, 5

dk512:GA:4, 3, 11, 15, 14, 9, 12, 7, 2, 1, 0, 10, 13, 8NOVA:1, 10, 8, 0, 3, 7, 15, 6, 14, 12, 13, 9, 4, 11 Mu:9, 11, 1, 0, 4, 3, 5, 2, 14, 10, 12, 6, 7, 8 Sp:0, 3, 5, 4, 6, 7, 12, 1, 2, 8, 9, 10, 11,13

Pa:0, 8, 1, 2, 3, 9, 10, 4, 11, 12, 13, 5, 6, 7

modulo12: GA:11, 14, 4, 3, 10, 12, 7, 2, 8, 15, 6, 0NOVA:0, 15, 1, 14, 2, 13, 3, 12, 4, 11, 5, 10

Mu:0, 1, 9, 8, 2, 3, 4, 5, 7, 15, 6, 14Sp:0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

Pa:0, 10, 5, 12, 2, 9, 4, 14, 1, 8, 6, 13

shiftreg:GA:0, 1, 6, 2, 7, 3, 4, 5NOVA: 0, 4, 3, 2, 5, 1, 6, 7Mu: 0, 2, 6, 4, 1, 3, 7, 5

Sp: 0, 2, 3, 5, 1, 4, 6, 7Pa: 0, 1, 2, 3, 4, 5, 6, 7

tav:GA: 3, 1, 0, 2NOVA: 0, 3, 1, 2 Mu: 0, 1, 2, 3 Sp: 0, 1, 2, 3 Pa: 0, 2, 1, 3

test:GA: 0, 2, 6, 7, 5, 3, 4, 1NOVA: 7, 0, 6, 1, 5, 2, 4, 3

Mu: 6, 4, 0, 1, 2, 5, 3, 7Sp: 0, 3, 1, 2, 6, 4, 7, 5

Pa: 0, 2, 7, 5, 4, 3, 6, 1

table1:GA:0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 10, 11, 14, 15NOVA:15, 4, 10, 13, 0, 3, 14, 1, 8, 7, 9, 6, 11, 5, 2, 12 Mu:4, 0, 3, 7, 1, 5, 6, 2, 10, 8, 9, 11, 12, 13, 14, 15 Sp:0, 3, 6, 9, 10, 7, 4, 0, 14, 12, 13, 15, 8, 11, 2, 5 Pa:0, 8, 4, 12, 1, 9, 5, 13, 2, 10, 6, 14, 3, 11, 7, 15

table2:GA: 4, 11, 8, 5, 7, 9, 15, 12, 13NOVA: 10, 12, 1, 14, 5, 2, 13, 0, 3

Mu: 7, 6, 4, 15, 3, 2, 5, 0, 1Sp:0, 2, 1, 3, 4, 5, 8, 6, 7

Pa: 0, 1, 4, 6, 9, 10, 13, 12, 14

table3:GA: 6, 3, 2, 0, 4, 1NOVA: 6, 0, 2, 5, 4, 7 Mu: 4, 1, 3, 5, 2, 0 Sp: 0, 4, 1, 2, 5, 3 Pa: 0, 3, 2, 6, 4, 7

swma1:GA: 2, 5, 0, 7, 1, 6, 4, 3 NOVA: 0, 4, 5, 3, 2, 6, 1, 7 Mu: 0, 7, 2, 6, 1, 3, 5, 4 Sp: 0, 2, 4, 6, 1, 5, 7, 3 Pa: 2, 0, 3, 4, 6, 7, 1, 5

swma2:GA: 7, 6, 2, 4, 5, 0, 3, 1NOVA: 0, 3, 6, 5, 2, 4, 7, 1 Mu: 0, 3, 2, 1, 7, 4, 6, 5 Sp: 0, 3, 1, 4, 7, 6, 2, 5 Pa: 0, 1, 3, 2, 7, 6, 5, 4

swma3:GA: 6, 15, 14, 10, 8, 0, 2, 4, 12, 7, 9, 11, 3, 1, 5, 13NOVA:10, 12, 13, 9, 3, 1, 5, 15, 14, 7, 0, 4, 6, 2, 11, 8 Mu:5, 12, 15, 11, 8, 3, 0, 14, 13, 9, 1, 2, 7, 4, 10, 6 Sp:0, 3, 4, 5, 9, 11, 1, 12, 13, 2, 6, 7, 10, 8, 14, 15 Pa:0, 10, 4, 14, 12, 1, 2, 11, 15, 8, 3, 6, 13, 9, 5, 7

Table 5.3. State assignments for each algorithm

Table 5.4. KISS2 files for 'non-benchmark' examples

In terms of numbers of literals, the genetic algorithm performed 42% better than NOVA. It should be noted that only the logic for the state variables was considered, as this gives a useful comparison against the partitioning method. Observing the progress of the genetic algorithm it was noted that a state assignment similar to the one produced by NOVA was found after 50 generations on average. NOVA generally performed better than MUSTANG and SPECTRAL. When the output logic was considered the genetic algorithm performed, on average, 33% better than NOVA. On the whole, the partition method and the

genetic algorithm produced similar results if good partitions exist. However, if no partitions exist (as some state tables possess no useful closed partitions), then the genetic algorithm still performs well as its operation is not dependent upon the existence or non-existence of this property. The CPU time consumed by running the GA is longer than that required by other methods, but this is mainly due to the fact that the GA has to communicate with ESPRESSO in order to ascertain the fitness of chromosomes. This had to be done by creating files as ESPRESSO is not embedded in the GA. Even allowing for this overhead, the times taken to run the GA were not excessive. For example, the time taken to run 'donfile' (with 24 states) over 500 generations was about 30 minutes on an HP-720 workstation. Further, with the improving processing speeds of modern workstations, this is likely to become less significant in the future.

At this point it should be noted that the genetic algorithm is not a random search. To support this, tests were made where 1000 different chromosomes were generated at random for 'donfile'. The GA started with 10 chromosomes and ran over 100 generations. The results have shown that on average, over 10 tests, the genetic algorithm produced a 40% better result than the random search. In every test run, the GA found a better assignment than that produced by any random search.

6. Conclusions

A genetic algorithm for finding good assignments for synchronous sequential state machines has been written in C, and described above. Tests as to the effectiveness of this approach to the problem were conducted by comparison of performance against commercially available software when operating upon various widely used benchmarks. A number of smaller examples were also included by way of demonstration.

It may be concluded that the state assignments as found by the genetic algorithm were at least as good, but in most cases better, than those derived by the best available methods. In examples where there is a good structure like 'modulo-12', 'shiftreg', 'test', 'table1-3' and 'swma3', the GA and the partitioning method produced significantly simpler next-state equations

It has been demonstrated that the genetic algorithm is a valid method of finding a good state assignment; it is competitive with commercial software, and is not dependent on any particular feature of the sequential machine. Since the fitness function of the genetic algorithm may be easily modified, certain other aspects of machine design such as: propagation time, the use of flip-flops other than D-type, or the use of one gate type as opposed to another may be taken into account. Further, it is believed that the effectiveness of the genetic algorithm itself may be enhanced, possibly by better chromosome encoding and more effective parent selection, and that as a consequence improved results may be obtained.

7. References

1.Armstrong, DB, "A programmed algorithm for assigning internal codes to sequential

machines", IRE Trans, 1962, EC11, pp 466-472

2.Dolotta, TA, and McCluskey, E, "The coding of internal states of sequential

machines", IEEE Trans, 1964, EC13, pp 549-562

3.Hartmanis, J, "On the state assignment problem for sequential machines I", IRE

Trans, 1961, EC10, pp 157-165

4.Stearns, RE, and Hartmanis, J, "On the state assignment problem for sequential

machines II", IRE Trans, 1961, EC10, pp 593-603

5.Villa, T, and Sangiovanni-Vincentelli, A, "NOVA: State assignment of finite state

machines for optimal two level logic implementation", IEEE Trans, 1990, C-9, pp

905-924

6.Devadas, S, Ma, HT, Newton, AR, and Sangiovanni-Vincentelli, A, "MUSTANG:

State assignment of finite state machines for optimal multi-level logic

implementations", presented at ICCAD, 1987

7.Holland, JM, "Adaptation in Natural and Artificial Systems", Ann Arbor-University

of Michigan Press, 1975

8.Goldberg, DE, "Genetic Algorithms in Search, Optimization and Machine Learning.",

Addison-Wesley, 1989.

9.Hancock, PJ, "An empirical comparison of selection methods in evolutionary

algorithms," AISB Workshop on Evolutionary Computing., at Leeds University,

UK, April 1994.

10.McCluskey, EJ, and Unger, SH, "A note on the number of internal variable

assignments for sequential switching circuits", IRE Trans, 1959, EC8, pp 439-440

11.Almaini, AEA, "Electronic Logic Systems", 3rd ed., Prentice-Hall, 1994

12.Perin, JP, Denouette, M, and Daclin, E, "Switching Machines, Vol 2", D Reidel, 1972

13.Kohavi, Z, "Switching and Finite State Automata Theory.", McGraw-Hill, 1970.

旅游与文化 翻译

旅游与文化I Part I 1.charming autumn scenery in a most fresh air and clear weather 秋高气爽,秋色宜人 2.the 15th General Assembly Session of the World Tourism Organization 世界旅游组织第15届全体大会3.to travel ten thousand li and read ten thousand books 读万卷书,行万里路 4.enriching themselves mentally and physically 承天地之灵气,接山水之精华 5.tourist arrival 旅游人数 6.foreign currency receipts 外汇收入 7.outbound tourists 出境旅游人数 8.unique, rich and varied tourism resources 得天独厚的旅游资源 9.World Cultural and Natural Heritages sites 世界文化遗产地和世界自然遗产地 10.t o add radiance and charm to each other 交相辉映 11.a thriving modern metropolis 繁华的现代化大都市 12.a patchwork of cottages 村舍星罗棋布 13.t o exist side by side 鳞次栉比 14.I nternational Architecture Exhibition 万国建筑博览会 15.c lock towers and turrets , marble pillars 钟塔、角楼和大理石柱 16.e ach representing a distinctively individual appearance 风格迥异,各领风骚 17.t he rainy season 梅雨季节 18.t o linger longer 留连忘返 19.e xcellence, elegance and the best quality 卓越超群,富丽堂皇,一流质量 20.e mbroidery, inlaid lacquer 刺绣,金漆镶嵌 21.g old and silver jewelleries, water-color woodblock prints 金银首饰,木刻水印 22.c arvings in jade, ivory, bamboo and woven bamboo baskets 玉雕、牙雕,竹雕,竹编筐篮 23.b ird cages, lanterns 鸟笼灯笼 24.d ouble-sided embroidery and sandal wood fans from Suzhou 双面绣和苏州的檀香扇 25.t erracotta teapots from Yixing, and clay figures from Wuxi 宜兴的陶制茶壶和无锡的泥人 26.t he Peach Blossom Fair 桃花节 27.t he Daci Temple Fair 大慈寺庙会 28.t he Chengdu Tourism Festival 成都旅游节 29.a place blessed with favorite climate, fertile land, rich resources and outstanding talents 物华天宝,人杰地灵30.s uperb artistic style of aiming at catching the sprit of the landscape 写意山水 31.a rtistic gems 艺术瑰宝 32.U NESCO Heritage Committee 联合国教科文组织遗产委员会 33.t he list of World cultural heritage 世界文化遗产名录 34.b ronzeware 青铜器 35.b amboo, wood and lacquer ware 竹木漆器 36.i nscribed bones and tortoise shells 甲骨 37.s eals 玺印 38.a rchaeology 39.r estoration room 文物修复馆 旅游与文化II Part II景点描述常用语 Match work: 雄伟壮丽imposing 灯火辉煌glittering

国际会计准则第36号

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欲而不越出规矩。” 3 子曰:“由(1),诲女(2),知之乎,知之为知之,不知为不知,是知也。” 【注释】 (1)由:姓仲名由,字子路。生于公元前542年,孔子的学生,长期追随孔子。 (2)女:同汝,你。 【译文】 孔子说:“由,我教给你怎样做的话,你明白了吗,知道的就是知道,不知道就是不知道,这就是智慧啊~” 4.颜渊、季路侍(1)。子曰:“盍(2)各言尔志。”子路曰:“原车马,衣轻裘,与朋友共,敝之而无憾。”颜渊曰:“愿无伐(3)善,无施劳(4)。”子路曰:“愿闻子之志。”子曰:“老者安之,朋友信之,少者怀之(5)。” 【注释】 (1)侍:服侍,站在旁边陪着尊贵者叫侍。 (2)盍:何不。 (3)伐:夸耀。 (4)施劳:施,表白。劳,功劳。 (5)少者怀之:让少者得到关怀。 【译文】 颜渊、子路两人侍立在孔子身边。孔子说:“你们何不各自说说自己的志向,”子路说:“愿意拿出自己的车马、衣服、皮袍,同我的朋友共同使用,用坏了也不抱怨。”颜渊说:“我愿意不夸耀自己的长处,不表白自己的功劳。”子路向孔子说:“愿意听听您的志向。”孔子说:“(我的志向是)让年老的安心,让朋友们信任我,让年轻的子弟们得到关怀。” 5 子曰:“知之者不如好之者,好之者不如乐之者。” 【译文】

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精心整理 ccount?帐户 Accounting?system?会计系统? American?Accounting?Association?美国会计协会? American?Institute?of?CPAs?美国注册会计师协会? Audit?External?users?外部使用者? Financial?accounting?财务会计? Financial?Accounting?Standards?Board?财务会计准则委员会? Financial?forecast?财务预测? Generally?accepted?accounting?principles?公认会计原则? General-purpose?information?通用目的信息 Government?Accounting?Office?政府会计办公室? ? Management?accounting?管理会计? Return?of?investment?投资回报? Return?on?investment?投资报酬? Securities?and?Exchange?Commission?证券交易委员会?

Statement?of?cash?flow?现金流量表? Statement?of?financial?position?财务状况表? Tax?accounting?税务会计? Accounting?equation?会计等式? Assets? Creditor? Deflation? Disclosure?批露? Expenses?费用? Financial?statement?财务报表? Financial?activities?筹资活动? Going-concern?assumption?持续经营假设Inflation?通货膨涨? Investing?activities?投资活动? Liabilities?负债? Solvency?清偿能力? Stable-dollar?assumption?稳定货币假设? Stockholders?股东? Stockholders?equity?股东权益?

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