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The following explains various terms in this object and some of the abbreviations used: { M } K represents the encryption of some message /

The following explains various terms in this object and some of the abbreviations used:
{M}K represents the encryption of some message/data M using the key K
{|M|}K represents the digital signing of some message/data M using the key K NX represents a nonce (i.e. a fresh and possibly random number used once only) generated by X
KpbX represents the public part of the key pair presumably owned by X
KprX represents the private part of the key pair presumably owned by X
KAB represents a symmetric key shared between A and B
K (or K1, K2, K3 etc.) represents some arbitrary key with no assumptions about its scope
M represents some alphanumeric/textual message with no assumptions G1, G2, G3 etc. are prime numbers
which one of the following sets of keys, nonces, prime numbers, and alphanumeric/textual messages best represents Bs knowledge, after B applies any number of possible cryptographic operations to the object above, and assuming that B already has access to key K1 and the public key of any agent:
a) KBS , G2, KPrB
b)(KPbB)KPrS mod KPbS , G2, KBS , KPrB ,{(KPbB)KPrS mod KPbS}K1, NA ,
NB
c) NA , NB
d) NA , NB , KBS , KPrB
e){(KPbB)KPrS mod KPbS}K1,{|(NB, NA,{{({K2}KPbB, NS)}(G1)KPrA mod
NA}K1,{|{({G3}(KPbA)KPrS mod KPbS, G2)}K1|}KPrB)|}KPrA , NA , NB , KBS
, KPrB ,{(KPbB)KPrS mod KPbS
f) G2, NA , NB , G1, KBS , KPrB
g)(KPbB)KPrS mod KPbS , NA , NB , G2, KBS , KPrB
h)(KPbB)KPrS mod KPbS ,(G1)KPrA mod NA , NA, NB , G2, KBS , KPrB
i)(KPbB)KPrS mod KPbS , G3, G2, KBS , KPrB
j)(KPbB)KPrS mod KPbS , NA , NB , G2, KBS , KPrB , G3,(KPbA)KPrS mod
KPbS
k) NB

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